#1
30th March 2010, 02:42 PM




Syllabus of manipal university entrance exam for BE course?
please tell me the syllabus of manipal university entrance exam for BE course. also tell some sample questions on english and general aptitude test.

#2
1st April 2010, 04:58 PM




Re: Syllabus of manipal university entrance exam for BE course?
For taking admission in SMU, you have to prepare from your class 12th book very carefully and to get highest rank in the entrance exam.
look NCERT very deeply. thanks and best of luck. 
#3
6th April 2010, 12:57 PM




Re: Syllabus of manipal university entrance exam for BE course?
BE, BPharm & PharmD (eligibility PCM)
The test duration is of 2.30 hours and consists of 240 multiple choice questions (MCQ) of the objective type. The approximate distribution of questions is as follows: Physics  60 questions, Chemistry  60 questions, Mathematics  80 questions, English & General Aptitude  40 questions. 
#4
7th April 2010, 08:50 PM




Re: Syllabus of manipal university entrance exam for BE course?
dear friend,
the Syllabus of manipal university entrance exam for BE course are very easy.but you have to work hard for it. the syllabus is just the same as required for any other reputed engineering entrance exam like IIT and AIEEE. you have to study physics ,maths and chemistry. test duration is of 2.30 hours and consists of 240 multiple choice questions (MCQ) of the objective type. all the best. 
#5
8th April 2010, 11:23 AM




Re: Syllabus of manipal university entrance exam for BE course?
hi frnd,
it will be better to go through your class 11th & 12th books(physics,chemistry & mathematics) throughly. exam contains only objective type questions & don't answer wrong as it has negative marking. start preparing well. better luck 
#6
12th April 2010, 02:36 PM




Re: Syllabus of manipal university entrance exam for BE course?
hi
Physics, Mathematics and English with one of Chemistry, Biotechnology, Biology, Computer science or Engineering Drawing is the subject which you have to study. there would be negative marking and 240 mcq questions. you can go through ncert books. it will help you a lot. 
#7
15th April 2010, 01:36 AM




Re: Syllabus of manipal university entrance exam for BE course?
the syllabus for manipal university entrance exam for BE course is :
Physics  60 questions, Chemistry  60 questions, Mathematics  80 questions, English & General Aptitude  40 questions. 
#15
5th May 2010, 02:46 AM




Re: Syllabus of manipal university entrance exam for BE course?
the exam paper pattern for the manipal university entrance exam for BE course is :
Physics  60 questions, Chemistry  60 questions, Mathematics  80 questions, English & General Aptitude  40 questions. for more information regarding the exam dates and other relavent information please visit www.manipal.edu all the best 
#21
8th May 2010, 02:54 PM




Re: Syllabus of manipal university entrance exam for BE course?
DO WE NOT GET ANY SAMPLE PAPERS FOR SOLVING AT HOME?
AS NOW I DONT HAVE TIME TO STUDY,I WANT TO SOLVE AS MANY PAPERS AS I CAN! AND WHAT IWOULD BE THE CUT OFF THIS YEAR? AND IF NOT WHAT TO SOLVE. PL REPLY ME ON [email protected] THANK YOU. 
#25
11th July 2010, 01:15 AM




Re: Syllabus of manipal university entrance exam for BE course?
try to do the normal cbse syllabus.
11th and 12th science ncert ,get through properly. yes,correspondence courses from coaching institutes are available. though little tough,you can get through. 
#26
11th July 2010, 01:41 AM




Re: Syllabus of manipal university entrance exam for BE course?
try to do the normal cbse syllabus.
11th and 12th science ncert ,get through properly. yes,correspondence courses from coaching institutes are available. though little tough,you can get through. 
#27
11th July 2010, 03:34 AM




Re: Syllabus of manipal university entrance exam for BE course?
the whole aieee syllabus is taken into consideration.
the campus is situated at mahe,manipal at a sprawling 60 acres plot. though good,but expensive. they gurantee of placements,inner sources will tell 
#28
11th July 2010, 07:05 AM




Re: Syllabus of manipal university entrance exam for BE course?
hi friend
the syllabus for the manipal university is same as that for any other engineering entrance like aieee,iit the exam paper pattern for the manipal university entrance exam for BE course is : Physics  60 questions, Chemistry  60 questions, Mathematics  80 questions, English & General Aptitude  40 questions. for more information regarding the exam dates and other visit www.manipal.edu 
#29
11th July 2010, 05:09 PM




Re: Syllabus of manipal university entrance exam for BE course?
hi friend
the syllabus of the minipal university is same as that of your class 11th and 12th class,you have to follow the ncert of the cbse board for the detail syllabus of the exam. 
#34
18th December 2010, 06:27 PM




Re: Syllabus of manipal university entrance exam for BE course?
hello friend,
The test duration is of 2.30 hours and consists of 240 multiple choice questions (MCQ) of the objective type. The approximate distribution of questions is as follows: Physics  60 questions, Chemistry  60 questions, Mathematics  80 questions, English & General Aptitude  40 questions. the sample test paper is given below: Aptitude Questions with answers Aptitude Questions 1.If 2xy=4 then 6x3y=? (a)15 (b)12 (c)18 (d)10 Ans. (b) 2.If x=y=2z and xyz=256 then what is the value of x? (a)12 (b)8 (c)16 (d)6 Ans. (b) 3. (1/10)18  (1/10)20 = ? (a) 99/1020 (b) 99/10 (c) 0.9 (d) none of these Ans. (a) 4.Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40 mins.If all of them work together, find the time taken to fill the tank (a) 17 1/7 mins (b) 20 mins (c) 8 mins (d) none of these Ans. (a) 5. Thirty men take 20 days to complete a job working 9 hours a day.How many hour a day should 40 men work to complete the job? (a) 8 hrs (b) 7 1/2 hrs (c) 7 hrs (d) 9 hrs Ans. (b) 6. Find the smallest number in a GP whose sum is 38 and product 1728 (a) 12 (b) 20 (c) 8 (d) none of these Ans. (c) 7. A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs.Find the speed of the boat in still water and the speed of the water current? (a) 1/2 kmph (b) 7/12 kmph (c) 5 kmph (d) none of these Ans. (b) 8. A goat is tied to one corner of a square plot of side 12m by a rope 7m long.Find the area it can graze? (a) 38.5 sq.m (b) 155 sq.m (c) 144 sq.m (d) 19.25 sq.m Ans. (a) 9. Mr. Shah decided to walk down the escalator of a tube station. He found that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only require 18 seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom, find out the height of the stair way in steps? Ans.46 steps. 10. The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member ? Ans.40 years. 11. Three containers A, B and C have volumes a, b, and c respectively; and container A is full of water while the other two are empty. If from container A water is poured into container B which becomes 1/3 full, and into container C which becomes 1/2 full, how much water is left in container A? 12. ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20. What is the length of AE? Ans. AE = 10. 13. In the given figure, PA and PB are tangents to the circle at A and B respectively and the chord BC is parallel to tangent PA. If AC = 6 cm, and length of the tangent AP is 9 cm, then what is the length of the chord BC? Ans. BC = 4 cm. 15 Three cards are drawn at random from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace. Ans. 64/2210. 16. A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were ? Ans. 991. 17. If Log2 x  5 Log x + 6 = 0, then what would the value / values of x be? Ans. x = e2 or e3. 18. The square of a two digit number is divided by half the number. After 36 is added to the quotient, this sum is then divided by 2. The digits of the resulting number are the same as those in the original number, but they are in reverse order. The ten's place of the original number is equal to twice the difference between its digits. What is the number? Ans. 46 19.Can you tender a one rupee note in such a manner that there shall be total 50 coins but none of them would be 2 paise coins.? Ans. 45 one paisa coins, 2 five paise coins, 2 ten paise coins, and 1 twentyfive paise coins. 20.A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft. and slips back 2ft. How much time would it take the monkey to reach the top? Ans.18 hours. 21. What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12 Ans. 9 22. A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. of brand A are needed to make 40kgs. of the mixture? Ans. Brand A needed is 24kgs. 23. A wizard named Nepo says "I am only three times my son's age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old." How old is Nepo? Ans. 360 years old. 24. One dog tells the other that there are two dogs in front of me. The other one also shouts that he too had two behind him. How many are they? Ans. Three. 25. A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day? Ans. Eight. 26. If it takes five minutes to boil one egg, how long will it take to boil four eggs? Ans. Five minutes. 27. The minute hand of a clock overtakes the hour hand at intervals of 64 minutes of correct time. How much a day does the clock gain or lose? Ans. 32 8/11 minutes. 28. Solve for x and y: 1/x  1/y = 1/3, 1/x2 + 1/y2 = 5/9. Ans. x = 3/2 or 3 and y = 3 or 3/2. 29. Daal is now being sold at Rs. 20 a kg. During last month its rate was Rs. 16 per kg. By how much percent should a family reduce its consumption so as to keep the expenditure fixed? Ans. 20 %. 30. Find the least value of 3x + 4y if x2y3 = 6. Ans. 10. 31. Can you find out what day of the week was January 12, 1979? Ans. Friday. 32. A garrison of 3300 men has provisions for 32 days, when given at a rate of 850 grams per head. At the end of 7 days a reinforcement arrives and it was found that now the provisions will last 8 days less, when given at the rate of 825 grams per head. How, many more men can it feed? Ans. 1700 men. 33. From 5 different green balls, four different blue balls and three different red balls, how many combinations of balls can be chosen taking at least one green and one blue ball? Ans. 3720. 34. Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled? Ans. 167 minutes. 35. A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time? Ans. 3 hours 20 minutes. 36.For a motorist there are three ways going from City A to City C. By way of bridge the distance is 20 miles and toll is $0.75. A tunnel between the two cities is a distance of 10 miles and toll is $1.00 for the vehicle and driver and $0.10 for each passenger. A twolane highway without toll goes east for 30 miles to city B and then 20 miles in a northwest direction to City C. 1. Which is the shortest route from B to C (a) Directly on toll free highway to City C (b) The bridge (c) The Tunnel (d) The bridge or the tunnel (e) The bridge only if traffic is heavy on the toll free highway Ans. (a) 2. The most economical way of going from City A to City B, in terms of toll and distance is to use the (a) tunnel (b) bridge (c) bridge or tunnel (d) toll free highway (e) bridge and highway Ans. (a) 3. Jim usually drives alone from City C to City A every working day. His firm deducts a percentage of employee pay for lateness. Which factor would most influence his choice of the bridge or the tunnel ? (a) Whether his wife goes with him (b) scenic beauty on the route (c) Traffic conditions on the road, bridge and tunnel (d) saving $0.25 in tolls (e) price of gasoline consumed in covering additional 10 miles on the bridge Ans. (a) 4. In choosing between the use of the bridge and the tunnel the chief factor(s) would be: I. Traffic and road conditions II. Number of passengers in the car III. Location of one's homes in the center or outskirts of one of the cities IV. Desire to save $0.25 (a) I only (b) II only (c) II and III only (d) III and IV only (e) I and II only Ans. (a) 37.The letters A, B, C, D, E, F and G, not necessarily in that order, stand for seven consecutive integers from 1 to 10 D is 3 less than A B is the middle term F is as much less than B as C is greater than D G is greater than F 1. The fifth integer is (a) A (b) C (c) D (d) E (e) F Ans. (a) 2. A is as much greater than F as which integer is less than G (a) A (b) B (c) C (d) D (e) E Ans. (a) 3. If A = 7, the sum of E and G is (a) 8 (b) 10 (c) 12 (d) 14 (e) 16 Ans. (a) 4. A  F = ? (a) 1 (b) 2 (c) 3 (d) 4 (e) Cannot be determined Ans. (a) 5. An integer T is as much greater than C as C is greater than E. T can be written as A + E. What is D? (a) 2 (b) 3 (c) 4 (d) 5 (e) Cannot be determined Ans. (a) 6. The greatest possible value of C is how much greater than the smallest possible value of D? (a) 2 (b) 3 (c) 4 (d) 5 (e) 6 Ans. (a) 38. 1. All G's are H's 2. All G's are J's or K's 3. All J's and K's are G's 4. All L's are K's 5. All N's are M's 6. No M's are G's 1. If no P's are K's, which of the following must be true? (a) All P's are J's (b) No P is a G (c) No P is an H (d) If any P is an H it is a G (e) If any P is a G it is a J Ans. (a) 2. Which of the following can be logically deduced from the conditions stated? (a) No M's are H's (b) No M's that are not N's are H's (c) No H's are M's (d) Some M's are H's (e) All M's are H's Ans. (a) 3. Which of the following is inconsistent with one or more of the conditions? (a) All H's are G's (b) All H's that are not G's are M's (c) Some H's are both M's and G's (d) No M's are H's (e) All M's are H's Ans. (a) 4. The statement "No L's are J's" is I. Logically deducible from the conditions stated II. Consistent with but not deducible from the conditions stated III. Deducible from the stated conditions together with the additional statement "No J's are K's" (a) I only (b) II only (c) III only (d) II and III only (e) Neither I, II nor III Ans. (a) 39.In country X, democratic, conservative and justice parties have fought three civil wars in twenty years. TO restore stability an agreement is reached to rotate the top offices President, Prime Minister and Army Chief among the parties so that each party controls one and only one office at all times. The three top office holders must each have two deputies, one from each of the other parties. Each deputy must choose a staff composed of equally members of his or her chiefs party and member of the third party. 1. When Justice party holds one of the top offices, which of the following cannot be true (a) Some of the staff members within that office are justice party members (b) Some of the staff members within that office are democratic party members (c) Two of the deputies within the other offices are justice party members (d) Two of the deputies within the other offices are conservative party members (e) Some of the staff members within the other offices are justice party members. Ans. (a) 2. When the democratic party holds presidency, the staff of the prime minister's deputies are composed I. Onefourth of democratic party members II. Onehalf of justice party members and onefourth of conservative party members III. Onehalf of conservative party members and onefourth of justice party members. (a) I only (b) I and II only (c) II or III but not both (d) I and II or I and III (e) None of these Ans. (a) 3. Which of the following is allowable under the rules as stated: (a) More than half of the staff within a given office belonging to a single party (b) Half of the staff within a given office belonging to a single party (c) Any person having a member of the same party as his or her immediate superior (d) Half the total number of staff members in all three offices belonging to a single party (e) Half the staff members in a given office belonging to parties different from the party of the top office holder in that office. Ans. (a) 4. The office of the Army Chief passes from Conservative to Justice party. Which of the following must be fired. (a) The democratic deputy and all staff members belonging to Justice party (b) Justice party deputy and all his or hers staff members (c) Justice party deputy and half of his Conservative staff members in the chief of staff office (d) The Conservative deputy and all of his or her staff members belonging to Conservative party (e) No deputies and all staff members belonging to conservative parties. Ans. (a) 40.In recommendations to the board of trustees a tuition increase of $500 per year, the president of the university said "There were no student demonstrations over the previous increases of $300 last year and $200 the year before". If the president's statement is accurate then which of the following can be validly inferred from the information given: I. Most students in previous years felt that the increases were justified because of increased operating costs. II. Student apathy was responsible for the failure of students to protest the previous tuition increases. III. Students are not likely to demonstrate over new tuition increases. (a) I only (b) II only (c) I or II but not both (d) I, II and III (e) None Ans. (a) 41. The office staff of XYZ corporation presently consists of three bookeepersA, B, C and 5 secretaries D, E, F, G, H. The management is planning to open a new office in another city using 2 bookeepers and 3 secretaries of the present staff . To do so they plan to seperate certain individuals who don't function well together. The following guidelines were established to set up the new office I. Bookeepers A and C are constantly finding fault with one another and should not be sent together to the new office as a team II. C and E function well alone but not as a team , they should be seperated III. D and G have not been on speaking terms and shouldn't go together IV Since D and F have been competing for promotion they shouldn't be a team 1.If A is to be moved as one of the bookeepers,which of the following cannot be a possible working unit. A.ABDEH B.ABDGH C.ABEFH D.ABEGH Ans.B 2.If C and F are moved to the new office,how many combinations are possible A.1 B.2 C.3 D.4 Ans.A 3.If C is sent to the new office,which member of the staff cannot go with C A.B B.D C.F D.G Ans.B 4.Under the guidelines developed,which of the following must go to the new office A.B B.D C.E D.G Ans.A 5.If D goes to the new office,which of the following is/are true I.C cannot go II.A cannot go III.H must also go A.I only B.II only C.I and II only D.I and III only Ans.D 42.After months of talent searching for an administrative assistant to the president of the college the field of applicants has been narrowed down to 5A, B, C, D, E .It was announced that the finalist would be chosen after a series of allday group personal interviews were held.The examining committee agreed upon the following procedure I.The interviews will be held once a week II.3 candidates will appear at any allday interview session III.Each candidate will appear at least once IV.If it becomes necessary to call applicants for additonal interviews, no more 1 such applicant should be asked to appear the next week V.Because of a detail in the written applications,it was agreed that whenever candidate B appears, A should also be present. VI.Because of travel difficulties it was agreed that C will appear for only 1 interview. 1.At the first interview the following candidates appear A,B,D.Which of the follwing combinations can be called for the interview to be held next week. A.BCD B.CDE C.ABE D.ABC Ans.B 2.Which of the following is a possible sequence of combinations for interviews in 2 successive weeks A.ABC;BDE B.ABD;ABE C.ADE;ABC D.BDE;ACD Ans.C 3.If A ,B and D appear for the interview and D is called for additional interview the following week,which 2 candidates may be asked to appear with D? I. A II B III.C IV.E A.I and II B.I and III only C.II and III only D.III and IV only Ans.D 4.Which of the following correctly state(s) the procedure followed by the search committee I.After the second interview all applicants have appeared at least once II.The committee sees each applicant a second time III.If a third session,it is possible for all applicants to appear at least twice A.I only B.II only C.III only D.Both I and II Ans.A 43. A certain city is served by subway lines A,B and C and numbers 1 2 and 3 When it snows , morning service on B is delayed When it rains or snows , service on A, 2 and 3 are delayed both in the morning and afternoon When temp. falls below 30 degrees farenheit afternoon service is cancelled in either the A line or the 3 line, but not both. When the temperature rises over 90 degrees farenheit, the afternoon service is cancelled in either the line C or the 3 line but not both. When the service on the A line is delayed or cancelled, service on the C line which connects the A line, is delayed. When service on the 3 line is cancelled, service on the B line which connects the 3 line is delayed. Q1. On Jan 10th, with the temperature at 15 degree farenheit, it snows all day. On how many lines will service be affected, including both morning and afternoon. (A) 2 (B) 3 (C) 4 (D) 5 Ans. D Q2. On Aug 15th with the temperature at 97 degrees farenheit it begins to rain at 1 PM. What is the minimum number of lines on which service will be affected? (A) 2 (B) 3 (C) 4 (D) 5 Ans. C Q3. On which of the following occasions would service be on the greatest number of lines disrupted. (A) A snowy afternoon with the temperature at 45 degree farenheit (B) A snowy morning with the temperature at 45 degree farenheit (C) A rainy afternoon with the temperature at 45 degree farenheit (D) A rainy afternoon with the temperature at 95 degree farenheit Ans. B 44. In a certain society, there are two marriage groups, red and brown. No marriage is permitted within a group. On marriage, males become part of their wives groups; women remain in their own group. Children belong to the same group as their parents. Widowers and divorced males revert to the group of their birth. Marriage to more than one person at the same time and marriage to a direct descendant are forbidden Q1. A brown female could have had I. A grandfather born Red II. A grandmother born Red III Two grandfathers born Brown (A) I only (B) III only (C) I, II and III (D) I and II only Ans. D Q2. A male born into the brown group may have (A) An uncle in either group (B) A brown daughter (C) A brown son (D) A soninlaw born into red group Ans. A Q3. Which of the following is not permitted under the rules as stated. (A) A brown male marrying his father's sister (B) A red female marrying her mother's brother (C) A widower marrying his wife's sister (D) A widow marrying her divorced daughter's exhusband Ans. B Q4. If widowers and divorced males retained their group they had upon marrying which of the following would be permissible ( Assume that no previous marriage occurred) (A) A woman marrying her dead sister's husband (B) A woman marrying her divorced daughter's exhusband (C) A widower marrying his brother's daughter (D) A woman marrying her mother's brother who is a widower. Ans. D Q5. I. All G's are H's II. All G's are J's or K's III All J's and K's are G's IV All L's are K's V All N's are M's VI No M's are G's 45. There are six steps that lead from the first to the second floor. No two people can be on the same step Mr. A is two steps below Mr. C Mr. B is a step next to Mr. D Only one step is vacant ( No one standing on that step ) Denote the first step by step 1 and second step by step 2 etc. 1. If Mr. A is on the first step, Which of the following is true? (a) Mr. B is on the second step (b) Mr. C is on the fourth step. (c) A person Mr. E, could be on the third step (d) Mr. D is on higher step than Mr. C. Ans: (d) 2. If Mr. E was on the third step & Mr. B was on a higher step than Mr. E which step must be vacant (a) step 1 (b) step 2 (c) step 4 (d) step 5 (e) step 6 Ans: (a) 3. If Mr. B was on step 1, which step could A be on? (a) 2&e only (b) 3&5 only (c) 3&4 only (d) 4&5 only (e) 2&4 only Ans: (c) 4. If there were two steps between the step that A was standing and the step that B was standing on, and A was on a higher step than D , A must be on step (a) 2 (b) 3 (c) 4 (d) 5 (e) 6 Ans: (c) 5. Which of the following is false i. B&D can be both on oddnumbered steps in one configuration ii. In a particular configuration A and C must either both an odd numbered steps or both an evennumbered steps iii. A person E can be on a step next to the vacant step. (a) i only (b) ii only (c) iii only (d) both i and iii Ans: (c) 46. Six swimmers A, B, C, D, E, F compete in a race. The outcome is as follows. i. B does not win. ii. Only two swimmers separate E & D iii. A is behind D & E iv. B is ahead of E , with one swimmer intervening v. F is a head of D 1. Who stood fifth in the race ? (a) A (b) B (c) C (d) D (e) E Ans: (e) 2. How many swimmers seperate A and F ? (a) 1 (b) 2 (c) 3 (d) 4 (e) cannot be determined Ans: (d) 3. The swimmer between C & E is (a) none (b) F (c) D (d) B (e) A Ans: (a) 4. If the end of the race, swimmer D is disqualified by the Judges then swimmer B finishes in which place (a) 1 (b) 2 (c) 3 (d) 4 (e) 5 Ans: (b) 47. Five houses lettered A,B,C,D, & E are built in a row next to each other. The houses are lined up in the order A,B,C,D, & E. Each of the five houses has a colored chimney. The roof and chimney of each housemust be painted as follows. i. The roof must be painted either green,red ,or yellow. ii. The chimney must be painted either white, black, or red. iii. No house may have the same color chimney as the color of roof. iv. No house may use any of the same colors that the every next house uses. v. House E has a green roof. vi. House B has a red roof and a black chimney 1. Which of the following is true ? (a) At least two houses have black chimney. (b) At least two houses have red roofs. (c) At least two houses have white chimneys (d) At least two houses have green roofs (e) At least two houses have yellow roofs Ans: (c) 2. Which must be false ? (a) House A has a yellow roof (b) House A & C have different color chimney (c) House D has a black chimney (d) House E has a white chimney (e) House B&D have the same color roof. Ans: (b) 3. If house C has a yellow roof. Which must be true. (a) House E has a white chimney (b) House E has a black chimney (c) House E has a red chimney (d) House D has a red chimney (e) House C has a black chimney Ans: (a) 4. Which possible combinations of roof & chimney can house I. A red roof 7 a black chimney II. A yellow roof & a red chimney III. A yellow roof & a black chimney (a) I only (b) II only (c) III only (d) I & II only (e) I&II&III Ans: (e) 48. Find x+2y (i). x+y=10 (ii). 2x+4y=20 Ans: (b) 49. Is angle BAC is a right angle (i) AB=2BC (2) BC=1.5AC Ans: (e) 50. Is x greater than y (i) x=2k (ii) k=2y Ans: (e) 
#35
24th December 2010, 08:18 PM




Re: Syllabus of manipal university entrance exam for BE course?
Are the syllabus same as that of KCET??????????????????????????????????????????????? ??????????????
IS IT ENOUGH TO LEARN STATE SYLLABUS for MAHE????????????????????????????????????????? 
#39
17th April 2011, 08:48 AM




Re: Syllabus of manipal university entrance exam for BE course?
Dear friend,the exam paper pattern for the manipal university entrance exam for BE course is :
Physics  60 questions, Chemistry  60 questions, Mathematics  80 questions, English & General Aptitude  40 questions. for more information regarding the exam dates and other relavent information please visit www.manipal.edu good luck 
#40
19th April 2011, 05:53 PM




Re: Syllabus of manipal university entrance exam for BE course?
Syllabus FOR BE MANIPAL UNIVERSITY ENTRANCE EXAM
PHYSICS DYNAMICS Newton’s laws of motion: First law of motion  force and inertia with examples momentum  second law of motion, derivation of F=ma, mention of spring force F=kx, mention of basic forces in nature  impulse and impulsive forces with examples  second law as applied to variable mass situation  third law of motion  Identifying action and reaction forces with examples  derivation of law of conservation of momentum with examples in daily life  principle of rocket propulsion  inertial and noninertial frames  apparent weight in a lift and rocket/satellite  problems. Fluid Dynamics: Explanation of streamline and turbulent motion  mention of equation of continuity  mention of expressions for PE, KE and pressure energy of an element of a liquid flowing through a pipe  statement and explanation of Bemoulli’s theorem and its application to uplift of an aircraft sprayer. Surface tension: Concept of adhesive and cohesive forces  definition of Surface energy and surface tension and angle of contact  explanation of capillary rise and mention of its expression  mention of application of surface tension to (i) formation of drops and bubbles (ii) capillary action in wick of a lamp (iii) action of detergents. Work  power  energy: Work done by a force  F.S  unit of work  graphical representation of work done by a constant and variable force  power  units of power  energy  derivation of expression for gravitation potential energy and kinetic energy of a moving body  statement of work  energy theorem  mention of expression for potential energy of a spring  statement and explanation of law of conservation of energy  illustration in he case of a body sliding down on an inclined plane  discussion of special case when = 90o for a freely falling body  explanation of conservative and non conservative forces with examples  explanation of elastic and inelastic collisions with examples  coefficient of restitution  problems. Gravitation: Statement and explanation of law of gravitation  definition of G  derivation of relation between g and G  mention of expression for variation of g with altitude, depth and latitude  statement and explanation of Kepler’s laws of planetary motion  definition of orbital velocity and escape velocity and mention of their expressions  satellites  basic concepts of geostationary satellites, launching of satellites  IRS and communication satellites  brief explanation of Inertial mass and gravitational mass  weightlessness  remote sensing and essentials of space communication  problems. Concurrent Coplannar forces: Definition of resultant and equilibrant  statement of law of parallelogram of forces  derivation of expression for magnitude and direction of two concurrent coplanar forces  law of triangle of forces and its converse  Lami’s theorem  problems. HEAT Gas laws: Statement and explanation of Boyle’s law and Charle’s law  definition of Pressure and Volume Coefficient of a gas  absolute zero  Kelvin scale of temperature  mention of perfect gas equation  explanation of isothermal and adiabatic changes  mention of VanderWaal’s equation of state for real gases. Mode of heat transfer: Conduction of heat  steady state  temperature gradient  definition of coefficient of thermal conductivity  basic concepts of convection of heat  radiation  properties of thermal radiation  radiant energy  definition of emissivity and absorptivity  perfect black body  statement and explanation of Kirchhoff’s law. Newton’s law of cooling  Stefan’s law  Wien’s displacement and Planck’s law  qualitative explanation of solar constant and surface temperature of sun  principle and working of total radiation pyrometer  problems. GEOMETRICAL OPTICS Waves: Waves around us  brief note on light waves, sound waves, radio waves, micro waves, seismic waves  wave as a carrier of energy  classification of waves. (i) based on medium  mechanical and electromagnetic waves (ii) based on vibration of particles in the medium  Longitudinal & transverse waves  one, two & three dimensional waves with example  definition of wave amplitude, wave frequency, wave period, wavelength and wave velocity  concept of phase of a wave  derivation v=f to establish the relation between path difference and phase difference  definition of a progressive wave  and its characteristics  derivation of equation of a progressive wave  different forms of a progressive wave equation  definition of wave intensity  mention of expression of wave intensity and its unit  statement and explanation of principles of superposition of waves with examples  problems. Sound: Properties of sound  speed of sound in a gas  explanation of Newton’s formula for speed of sound  correction by Laplace  Newton  Laplace formula  discussion of factors affecting speed i.e. pressure, temperature, humidity and wind  definition of sound intensity  explanation of loudness and its unit  definition of intensity level and its unit  mention of relation between intensity and loudness  distinction between noise and musical note  characteristics of a musical note  phenomenon of beats and its theory  application of beats (i) to find the frequency of a note (ii) to tune the musical instruments Doppler effect  derivation of expression for apparent frequency in general case and discussion to special cases  qualitative comparison of Doppler effect in sound and light  problems. Refraction at a plane surface: Refraction through a parallel sided glass slab  derivation of expressions for lateral shift and normal shift (object in a denser medium)  total internal reflection and its applications optical fibers and its application in communication  problems. Refraction through a prism: Derivation of expression for the refractive index in terms of A and D dispersion through a prism  experimental  arrangement for pure spectrum  deviation produced by a thin prism  dispersive power  mention of condition for dispersion without deviation  problems. Refraction at a spherical surface: Derivation of the relation  connecting n,u,v and r for refraction at a spherical surface (concave towards a point object in a denser medium) derivation of lens maker’s formula power of a lens  magnification  derivation of expression for the equivalent focal length of combination of two thin lenses in contact  mention of expression for equivalent focal length of two thin lenses separated by a distance  problems. PHYSICAL OPTICS Introduction to Theories of Light: A brief explanation of Newton’s corpuscular theory, Huygen’s wave theory and Maxwell’s electromagnetic theory  mention of expression for speed of light C=1/oo, qualitative explanation of Hertz’s experiment  brief explanation of Planck’s quantum theory of radiation dual nature of light. Interference: Explanation of the phenomenon theory of interference  derivation of conditions for constructive and destructive interference. Young’s double slit experiment, derivation of expression for fringe width  qualitative explanation of interference at thin films and Newton’s rings  problems. Diffraction: Explanation of the phenomenon  distinction between Fresnel and Fraunhoffer diffraction qualitative explanation of diffraction at single slit and analysis of diffraction pattern (Fraunhoffer type) qualitative explanation of plane diffraction grating at normal incidence  limit of resolution  resolving power  Rayleigh’s criterion  definition and mention of expression for resolving powers of microscope and telescope  problems. Polarisation: Explanation of the phenomenon  representation of polarized and unpolarised light explanation of plane of polarization and plane of vibration  methods of producing plane polarized light : by reflection  Brewster’s law, refraction, double refraction, selective absorption  construction and application of polaroids  optical activity  specific rotatory power  construction and working of Laurent’s half shade polarimeter  mention of circularly and elliptically polarized light  problems. Speed of light: Michelson’s rotating mirror experiment to determine of light  importance of speed of light. ELECTROSTATICS Electric charges: Concept of charge  Coulomb’s law, absolute and relative permittivity  SI unit of charge. Electrostatic Field: Concept of electric field  definition of field strength  derivation of expression for the field due to an isolated change, concept of dipole  mention of expression for the field due to a dipole definition of dipole moment  mention of expression for torque on a dipole  explanation of polarization of a dielectric medium  dielectric strength  concept of lines of force and their characteristics  explanation of electric flux  statement and explanation of Gauss theorem and its applications to derive expressions for electric intensity (a) near the surface of a charged conductor (b) near a spherical conductor  concept of electric potential  derivation of the relation between electric field and potential  derivation of expression for potential due to an isolated charge  explanation of potential energy of a system of charges  problems. Capacitors: Explanation of capacity of a conductor and factors on which it depends  definition of capacitance and its unit  derivation of expression for capacity of a spherical conductor  principle of a capacitor  derivation of expression for capacitance of parallel plate capacitor  mention of expression for capacitance of spherical and cylindrical capacitors  derivation of expression for energy stored in a capacitor  derivation of expression for equivalent capacitance of capacitors in series and parallel  mention of uses of capacitors  problems. CURRENT ELECTRICITY Electric current: Microscope view of current through conductors (random motion of electrons)  explanation of drift velocity and mobility  derivation of expression for current I = neAd  deduction of Ofim’s law  origin of resistance  definition of resistivity  temperature coefficient of resistance  concept of super conductivity  explanation of critical temperature, critical field and high temperature superconductors  mention of uses of superconductors  thermistors and mention of their uses  colour code for resistors derivation of expression for effective resistance of resistances in series and parallel derivation of expression for branch currents  definition of emf and internal resistance of a cell  Ohm’s law applied to a circuit problems. Kirchoff’s laws: Statement and explanation of Kirchoff’s laws for electrical network  explanation of Wheastone’s network  derivation of the condition for its balance by applying Kirchoff’s laws  principle of metre bridge  problems. Magnetic effect of electric current: Magnetic field produced by electric current  statement and explanation of Biot  Savart’s (Laplace’s) law  derivation of expression for magnetic field at any point on the axis of a circular coil carrying current and hence expression for magnetic field at the centre  current in a circular coil as a magnetic dipole  explanation of magnetic moment of the current loop  mention of expression for the magnetic field due to (i) a straight current carrying conductor (ii) at a point on the axis of a solenoid  basic concepts of terrestrial magnetism  statement and explanation of Tangent law construction and theory of tangent galvanometer  problems. Mechanical effect of electric current: Mention of expression for force on a charge moving in magnetic field  mention of expression for force on a conductor carrying current kept in a magnetic field  statement of Fleming’s left hand rule  explanation of magnetic field strength in terms of flux density  derivation of expression for the force between two parallel conductors carrying currents and hence definition of ampere mention of expression for torque on a current loop kept in an uniform magnetic field  construction and theory of moving coil galvanometer  conversion of a pointer galvanometer into an ammeter and voltmeter problems. Electromagnetic Induction: Statement explanation of Faraday’s laws of electromagnetic induction and Lenz’s law  derivation of expression for emf induced in a rod moving in a uniform magnetic field explanation of self induction and mutual induction  mention of expression for energy stored in a coil explanation of eddy currents  alternating currents  derivation of expression for sinusoidal emf  definition of phase and frequency of ac  mention of the expression for instantaneous, peak, rms, and average values derivation of expression for current in case of ac applied to a circuit containing (i) pure resistor (ii) inductor (iii) capacitor  derivation of expression for impedance and current in LCR series circuit by phasor diagrm method  explanation of resonance  derivation of expression for resonant frequency  brief account of sharpness of resonance and Qfactor  mention of expression for power in ac circuits  power factor and wattless current  qualitative description of choke basic ideas of magnetic hysteresis  construction and working of transformers  mention of sources of power loss in transformers  ac meters  principle and working of moving iron meter  qualitative explanation of transmission of electrical power  advantages of ac and dc  problems. ATOMIC PHYSICS Introduction to atomic physics: Mention of the types of electron emission  description and theory of Dunnington’s method of finding e/m of an electron  explanation of types of spectra: emission and absorption spectra  brief account of Fraunhoffer lines  qualitative explanation of electromagnetic spectrum with emphasis on frequency. Photo electric effect: Explanation of photo electric effect  experiment to study photo electric effect experimental observations  Einstein’s photo electric equation and its explanation  principle and uses of photo cells: (i) photo emissive (ii) photo voltaic (iii) photo conductive cells  problems. Dual nature of matter: Concept of matter waves  arriving at the expression for de Brogile Wave length principle and working of G.P. Thomson’s experiment  principle of Electron Microscope  Scanning Electron Microscope Transmission Electron Microscope and Atomic Force Microscope. Bohr’s Atom model: Bohr’s atomic model for Hydrogen like atoms  Bohr’s postulates  arriving at the expressions for radius, velocity, energy and wave number  explanation of spectral series of Hydrogen energy level diagram  explanation of ionization and excitation energy  limitations of Bohr’s theory qualitative explanation of Sommerfeld & Vector atom models  problems. Scattering of light: Explanation of coherent and incoherent scattering  blue of the sky and sea  red at sunrise and sunset  basic concepts and applications of Raman effect. Lasers: Interaction between energy levels and electromagnetic radiation  laser action  population inversion  optical pumping  properties of lasers  construction and working of Ruby laser  mention of applications of lasers  brief account of photonics. Nuclear Physics: Characteristics of nucleus  qualitative explanation of liquid drop model  qualitative explanation of nuclear magnetic resonance (NMR) and its applications in medical diagnostics as MRI nuclear forces and their characteristics  explanation of Einsteins mass  energy relation  definition of amu and eV  arriving at 1amu = 931 Mev  examples to show the conversion of mass into energy and viceversa  mass defect  binding energy  specific binding energy  BE curve  packing fraction. Nuclear fission with equations  nuclear chain reaction  critical mass  controlled and uncontrolled chain reactions  types of nuclear reactors and mention of their principles  disposal of nuclear waste. Nuclear fusion  stellar energy (carbon & proton cycles)  problems. Radioactivity: Laws of radioactivity (i) Soddy’s group displacement laws (ii) decay law  derivation of N=NOe  explanation of decay constant  derivation of expression for half life  mention of expression for mean life  relation between half and mean life  units of activity: Bequerrel and Curie  Artificial transmutation: Artificial radioactivity  radio isotopes and mention of their uses  brief account of biological effects of radiations and safety measures  problems. Elementary particles: Basic concepts of leptons and hadrons  qualitative explanation of decay  neutrino hypothesis and Quarks. Solid state electronics: Qualitative explanation of Bond theory of solids  classification of conductors, insulators and semiconductors  intrinsic and extrinsic semiconductors  ptype and ntype semiconductors construction and action of pnjunction  forward and reverse biasing  half wave and full wave rectification function and application of light emitting diodes  photo diode  laser diode  transistors  npn and pnp transistors  action of transistor npn transistor as an amplifier in CE mode. Digital Electronics: Logic gates AND, OR, NOR & NAND symbols and truth table  applications of logic gates (Boolean equations)  half adder and full adder. Soft condensed matter physics: Liquid crystals  classification, thermotropic ( nematic, cholesteric and smectic) and lyotropic liquid crystals  mention of applications of liquid crystals  basic concepts of emulsions, gels & foams. CHEMISTRY STOICHIOMETRY Equivalent mass of elements  definition, principles involved in the determination of equivalent masses of elements by hydrogen displacement method, oxide method, chloride method and inter conversion method (experimental determination not needed). Numerical problems. Equivalent masses of acids, bases and salts. Atomic mass, Moleqular mass, vapour densitydefinitions. Relationship between molecular mass and vapour density. Concept of STP conditions. Gram molar volume. Experimental determination of molecular mass of a volatile substance by Victor Meyer’s method. Numerical problems. Mole concept and Avogadro number, numerical problems involving calculation of: Number of moles when the mass of substance is given, the mass of a substance when number of moles are given and number of particles from the mass of the substance. Numerical problems involving massmass, massvolume relationship in chemical reactions. Expression of concentration of solutionsppm, normality, molarity and mole fraction. Principles of volumetric analysis standard solution, titrations and indicatorsacidbase (phenolphthalein and methyl orange) and redox (Diphenylamine). Numerical problems. ATOMIC STRUCTURE Introduction constituents of atoms, their charge and mass. Atomic number and atomic mass. Wave nature of light, Electromagnetic spectrumemission spectrum of hydrogenLyman series, Balmer series, Paschen series, Brackett series and Pfund series. Rydberg’s equation. Numerical problems involving calculation of wavelength and wave numbers of lines in the hydrogen spectrum. Atomic model Bhor’s theory, (derivation of equation for energy and radius not required). Explanation of origin of lines in hydrogen spectrum. Limitations of Bhor’s theory. Dual nature of electron distinction between a particle and a wave. de Broglie’s theory. Matterwave equation (to be derived). Heisenberg’s uncertainty principle (Qualitative). Quantum numbers  n, l, m and s and their significance and inter relationship. Concept of orbital shapes of s, p and d orbitals. Pauli’s exclusion principle and aufbau principle. Energy level diagram and (n+1) rule. Electronic configuration of elements with atomic numbers from 1 to 54. Hund’s rule of maximum multiplicity. General electronic configurations of s, p and d block elements. PERIODIC PROPERTIES Periodic table with 18 groups to be used. Atomic radii (Van der Waal and covalent) and ionic radii: Comparison of size of cation and anion with the parent atom, size of isoelectronic ions. Ionization energy, electron affinity, electronegativity Definition with illustrations. Variation patterns in atomic radius, ionization energy, electron affinity, electronegativity down the group and along the period and their interpretation. OXIDATION NUMBER Oxidation and reductionElectronic interpretation. Oxidation number: definition, rules for computing oxidation number. Calculation of the oxidation number of an atom in a compound/ion. Balancing redox equations using oxidation number method, calculation of equivalent masses of oxidising and reducing agents. GASEOUS STATE GAS LAWS: Boyle’s Law, Charle’s Law, Avogadro’s hypothesis, Dalton’s law of partial pressures, Graham’s law of diffusion and Gay Lussac’s law of combining volumes. Combined gas equation. Kinetic molecular theory of gasespostulates, root mean square velocity, derivation of an equation for the pressure exerted by a gas. Expressions for r.m.s velocity and kinetic energy from the kinetic gas equation. Numerical problems. Ideal and real gases, Ideal gas equation, value of R (SI units). Deviation of real gases from the ideal behaviour. PVP curves. Causes for the deviation of real gases from ideal behavior. Derivation of Van der Waal’s equation and interpretation of PVP curves CHEMICAL KINETICS Introduction. Commercial importance of rate studies. Order of a reaction. Factors deciding the order of a reactionrelative concentrations of the reactants and mechanism of the reaction. Derivation of equation for the rate constant of a first order reaction. Unit for the rate constant of a first order reaction. Halflife period. Relation between halflife period and order of a reaction. Numerical problems. Determination of the order of a reaction by the graphical and the Ostwald’s isolation method. Zero order, fractional order and pseudo first order reactions with illustrations. Effect of temperature on the rate of a reactiontemprature coefficient of a reaction. Arrhenius interpretation of the energy of activation and temperature dependence of the rate of reaction. Arrhenius equation. Influence of catalyst on energy profile. Numerical problems on energy of activation. ORGANIC COMPOUNDS WITH OXYGEN2, AMINES Phenols: Uses of phenol. Classification: Mono, di and trihydric Phenols Isolation from coal tar and manufacture by Cumene process. Methods of preparation of phenol from  Sodium benzene sulphonate,Diazonium salts Chemical properties:Acidity of Phenolsexplanation using resonanceEffect of substituents on Acidity(methyl group and nitro group as substituents), Ring substitution reactionsBromination, Nitration, Friedelcraft’s methylation, Kolbe’s reaction, ReimerTiemann reaction. Aldehydes and Ketones: Uses of methanal,benzaldehyde and acetophenone Nomenclature General methods of preparation of aliphatic and aromatic aldehydes and ketones from Alcohols and Calcium salts of carboxylic acids Common Properties of aldehydes and ketones a) Addition reactions with  Hydrogen cyanide, sodium bisulphate b) Condensation reactions withHydroxylamine, Hydrazine, Phenyl hydrazine, Semicarbazide c) Oxidation. Special reactions of aldehydes:Cannizzaro’s reactionmechanism to be discussed, Aldol condensation, Perkin’s reaction, Reducing propertieswith Tollen’s and Fehling’s reagents. Special reaction of ketonesClemmensen’s reduction Monocarboxylic Acids: Uses of methanoic acid and ethanoic acid. Nomenclature and general methods of preparation of aliphatic acids From Alcohols, Cyanoalkanes and Grignard reagent General properties of aliphatic acids: Reactions with  Sodium bicarbonate, alcohols, Ammonia, Phosphorus pentachloride and soda lime Strength of acidsexplanation using resonance. Effect of substituents (alkyl group and halogen as substituents) Amines: Uses of Aniline Nomenclature ClassificationPrimary, Secondary, Tertiaryaliphatic and aromatic. General methods of preparation of primary amines from  Nitro hydrocarbons, Nitriles(cyano hydrocarbons), Amides(Hoffmann’s degradation) General Properties  Alkylation,Nitrous acid, Carbyl amine reaction, Acylation Tests to distinguish betweenPrimary, secondary, Tertiary aminesMethylation method. Interpretaion of Relative Basicity ofMethylamine, Ammonia and Aniline using inductive effect. HYDROCARBONS2 Stability of CycloalkanesBaeyer’s Strain theoryinterpretation of the properties of Cycloalkanes, strain less ring. Elucidation of the structure of Benzene  Valence Bond Theory and Molecular Orbital Theory. Mechanism of electrophilic substitution reactions of Benzenehalogenations, nitration, sulphonation and Friedel Craft’s reaction. HALOALKANES Monohalogen derivaties: Nomenclature and General methods of preparation fromAlcohols and alkenes. General properties of monohalogen derivatives: Reduction, with alcoholic KOH, Nucleophilic substitution reactions with alcoholic NH, KCN, AgCN and aqueous KOH, with Magnesium, Wurtz reaction, WurtzFittig’s reaction, FriedalCraft’s reaction Mechanism of Nucleophilic Substitution reactions SN1 mechanism of Hydrolysis of teritiary butyl bromide and SN2 mechanism of Hydrolysis of methyl bromide. COORDINATION COMPOUNDS Coordination compound: Definition, complex ion, ligands, types of ligandsmono, bi, tri and polydentate ligands. Coordination number, isomerism (ionization linkage, hydrate), Werner’s theory, Sidgwick’s theory, and E A N rule, Nomenclature of coordination, compounds.Valance Bond Theory: sp3, dsp2 and d2sp3 hybridisation taking [Ni(Co)4], [Cu(NH3)4]SO4, K4[Fe(CN)6] respectively as examples. CHEMICAL BONDING – 2 Covalent bondingmolecular orbital theory :linear combination of atomic orbitals (Qualitative approach), energy level diagram, rules for filling molecular orbitals, bonding and anti bonding orbitals, bond order, electronic configuration of H2, Li2 and O2 Non existence of He2 and paramagnetism of O2. Metallic bond: Electron gas theory (Electron Sea model), definition of metallic bond, correlation of metallic properties with nature of metallic bond using electron gas theory. CHEMICAL THERMODYNAMICS2 Spontaneous and nonSpontaneous process. Criteria for spontaneitytendency to attain a state of minimum energy and maximum randomness. EntropyEntropy as a measure of randomness, change in entropy, unit of entropy. Entropy and spontaneity. Second law of thermodynamics. Gibbs’ free as a driving force of a reaction Gibbs’ equation. Prediction of feasibility of a process in terms of • G using Gibbs’ equation. Standard free energy change and its relation to Kp(equation to be assumed). Numerical problems. SOLID STATE Crystalline and amorphous solids, differences. Types of crystalline solids  covalent, ionic, molecular and metallic solids with suitable examples. Space lattice, lattice points, unit cell and Co ordination number. Types of cubic latticesimple cubic, body centered cubic, face centered cubic and their coordination numbers. Calculation of number of particles in cubic unit cells. Ionic crystalsionic radius, radius ratio and its relation to coordination number and shape. Structures of NaCl and CsCl crystals. ELECTROCHEMISTRY Electrolytes and non electrolytes. ElectrolysisFaraday’s laws of electrolysis. Numerical problems. Arrhenius theory of electrolytic dissociation, Merits and limitations. Specific conductivities and molar conductivitydefinitions and units. Strong and weak electrolytesexamples. Factors affecting conductivity. Acids and Bases: Arrhenius’ concept, limitations. Bronsted and Lowry’s concept, merits and limitations. Lewis concept, Strengths of Acids and Bases  dissociation constants of weak acids and weak bases. Ostwald’s dilution law for a weak electrolytes(equation to be derived)  expression for hydrogen ion concentration of weak acid and hydroxyl ion concentration of weak base  numerical problems. Ionic product of water. pH concept and pH scale. pKa and pkb valuesnumerical problems. Buffers, Buffer action, mechanism of buffer action in case of acetate buffer and ammonia buffer. Henderson’s equation for pH of a buffer(to be derived). Principle involved in the preparation of buffer of required pHnumerical problems. Ionic equilibrium: common ion effect, solubility product, expression for Ksp of sparingly soluble salts of types AB, AB and AB. Relationship between solubility and solubility product of salts of types AB, AB and AB. Applications of common ion effect and solubility product in inorganic qualitative analysis. Numerical problems. Electrode potential: Definition, factors affecting single electrode potential. Standard electrode potential. Nernst’s equation for calculating single electrode potential (to be assumed). Construction of electrochemical cellsillustration using Daniel cell. Cell free energy change [•Go =nFEo (to be assumed)]. Reference electrode: Standard Hydrogen Electrodeconstruction, use of SHE for determination of SRP of other single electrodes. Limitations of SHE. Electrochemical series and its applications. Corrosion as an electrochemical phenomenon, methods of prevention of corrosion. ORGANIC CHEMISTRY Inductive effect, Mesomeric effect and Electromeric effect with illustrations, Conversion of methane to ethane and vice versa and Methanol to ethanol and vice versa ISOMERISM2 Stereo isomerism:geometrical and optical isomerism Geometrical isomerismIllustration using 2butene, maleic acid and fumaric acid as example, Optical IsomerismChirality, optical activityDextro and Laevo rotation(D and L notations). CARBOHYDRATES Biological importance of carbohydrates, Classification into mono, oligo and poly saccharides. Elucidation of the open chain structure of Glucose. Haworth’s structures of Glucose, Fructose, Maltose and Sucrose(elucidation not required). OILS AND FATS Biological importance of oils and fats, Fatty acidssaturated, unsaturated, formation of triglycerides. Generic formula of triglycerides. Chemical nature of oils and fatssaponification, acid hydrolysis, rancidity refining of oils, hydrogenation of oils, drying oils, iodine value. AMINO ACIDS AND PROTEINS Biological importance of proteins, Aminoacids  General formula Formulae and unique feature of glycine, alanine, serine, cysteine, aspartic acid, lysine, tyrosine and proline. Zwitter ion, amphiprotic nature, isoelectric point, peptide bond, polypeptides and proteins. Denaturation of proteins Structural features of Insulin  a natural polypeptide. METALLURGY – 2 Physicochemical concepts involved in the following metallurgical operations  Desilverisation of lead by Parke’s processDistribution law. Reduction of metal oxides  Ellingham diagrams  Relative tendency to undergo oxidation in case of elements Fe Ag, Hg, Al, C. Cr, and Mg. Blast furnace  metallurgy of iron  Reactions involved and their role, Maintenance of the temperature gradient, Role of each ingredient and Energetics INDUSTRIALLY IMPORTANT COMPOUNDS: Manufacture of Caustic soda by Nelson’s cell Method, Ammonia by Haber’s process, Sulphuric acid by Contact process and Potassium dichromate from chromite. Uses of the above compounds. Chemical properties of Sulphuric acid: Action with metals, Dehydrating nature, Oxidation reactions and Reaction with PCI Chemical properties of potassium dichromate: With KOH, Oxidation reactions, formation of chromyl chloride. GROUP 18, NOBEL GASES Applications of noble gases. Isolation of rare gases from Ramsay and Raleigh’s method and separation of individual gases from noble gas mixture (Dewar’s charcoal adsorption method).Preparation of Pt XeF6 by Neil Bartlett. d  BLOCK ELEMENTS (TRANSITION ELEMENTS) Definition. 3d series: electronic configurations, size, variable oxidation states, colour, magnetic properties, catalytic behaviour, complex formation and their interpretations. THEORY OF DILUTE SOLUTIONS Vant Hoffs theory of dilute Solutions. colligative property. Examples of colligative propertieslowering of vapour pressure, elevation in boiling points, depression in freezing point and osmotic pressure. Lowering of vapour pressureRaoult’s law (mathematical form to be assumed). Ideal and non ideal solutions (elementary idea)  measurement of relative lowering of vapour pressureostwald and Walker’s dymnamic method. Determination of molecular mass by lowering of vapour pressure). Numerical problems. COLLOIDS Introduction. Colloidal system and particle size. Types of colloidal systems. Lyophilic and lyiphobic sols, examples and differences. Preparation of sols by Bredig’s arc method and peptisation. Purification of solsdialysis and electro dialysis. Properties of solsTyndall effect, Brownian movement electrophoresis, origin of charge, coagulation, Hardy and Schulze rule, Protective action of sols. Gold number. Gold number of gelatin and starch. Applications of colloids. Electrical precipitation of smoke, clarification of drinking water and formation of delta. MATHEMATICS  I ALGEBRA PARTIAL FRACTIONS Rational functions, proper and improper fractions, reduction of improper fractions as a sum of a polynomial and a proper fraction. Rules of resolving a rational function into partial fractions in which denominator contains (i) Linear distinct factors, (ii) Linear repeated factors, (iii) Non repeated non factorizable quadratic factors [problems limited to evaluation of three constants]. LOGARITHMS (i) Definition Of logarithm (ii) Indices leading to logarithms and vice versa (iii) Laws with proofs: (a) logam+logan = loga(mn) (b) logam  logan = loga(m/n) (c) logamn = nlogam (d) log b m = logam/logab (change of base rule) (iv) Common Logarithm: Characteristic and mantissa; use of logarithmic tables,problems theorem MATHEMATICAL INDUCTION (i) Recapitulation of the nth terms of an AP and a GP which are required to find the general term of the series (ii) Principle of mathematical Induction proofs of a. ∑n =n(n+1)/2 b.∑n2 =n(n+1)(2n+1)/6 c. ∑n3 = n2 (n+1)2/4 By mathematical induction Sample problems on mathematical induction SUMMATION OF FINITE SERIES (i) Summation of series using ∑n, ∑n2, ∑n3 (ii) ArithmeticoGeometric series (iii) Method of differences (when differences of successive terms are in AP) (iv) By partial fractions THEORY OF EQUATIONS (i) FUNDAMENTAL THEOREM OF ALGEBRA: An nth degree equation has n roots(without proof) (ii) Solution of the equation x2 +1=0.Introducing square roots, cube roots and fourth roots of unity (iii) Cubic and biquadratic equations, relations between the roots and the coefficients. Solutions of cubic and biquadratic equations given certain conditions (iv) Concept of synthetic division (without proof) and problems. Solution of equations by finding an integral root between  3 and +3 by inspection and then using synthetic division. Irrational and complex roots occur in conjugate pairs (without proof). Problems based on this result in solving cubic and biquadratic equations. BINOMIAL THEOREM Permutation and Combinations: Recapitulation of nPr and nCr and proofs of (i) general formulae for nPr and nCr (ii) nCr = nCnr (iii) nCr1 + n C r = n+1 C r (1) Statement and proof of the Binomial theorem for a positive integral index by induction. Problems to find the middle term(s), terms independent of x and term containing a definite power of x. (2) Binomial coefficient  Proofs of (a) C 0 + C 1 + C 2 + …………………..+ C n = 2 n (b) C 0 + C 2 + C 4 + …………………..= C 1+ C 3 + C 5 + ………2 n  1 MATHEMATICAL LOGIC Proposition and truth values, connectives, their truth tables, inverse, converse, contrapositive of a proposition, Tautology and contradiction, Logical Equivalence  standard theorems, Examples from switching circuits, Truth tables, problems. GRAPH THEORY Recapitulation of polyhedra and networks (i) Definition of a graph and related terms like vertices, degree of a vertex, odd vertex, even vertex, edges, loop, multiple edges, uv walk, trivial walk, closed walk, trail, path, closed path, cycle, even and odd cycles, cut vertex and bridges. (ii) Types of graphs: Finite graph, multiple graph, simple graph, (p,q) graph, null graph, complete graph, bipartite graph, complete graph, regular graph, complete graph, self complementary graph, subgraph, supergraph, connected graph, Eulerian graph and trees. (iii) The following theorems: p p (1) In a graph with p vertices and q edges ∑deg n i = 2 q i=1 (2) In any graph the number of vertices of odd degree is even. (iv) Definition of connected graph, Eulerian graphs and trees  simple probles. ANALYTICAL GEOMETRY 1. Coordinate system (i) Rectangular coordinate system in a plane (Cartesian) (ii) Distance formula, section formula and midpoint formula, centroild of a triangle, area of a triangle  derivations and problems. (iii) Locus of a point. Problems. 2 .Straight line (i)Straight line: Slope m = (tanθ) of a line, where θ is the angle made by the line with the positive xaxis, slope of the line joining any two points, general equation of a line  derivation and problems. (ii) Conditions for two lines to be (i) parallel, (ii) perpendicular. Problems. (iii) Different forms of the equation of a straight line: (a) slope  point form (b) slope intercept form (c) two points form(d) intercept form and (e) normal form  derivation; Problems. (iv) Angle between two lines point of intersection of two lines condition for concurrency of three lines. Length of the perpendicular from the origin and from any point to a line. Equations of the internal and external bisectors of the angle between two lines Derivations and Problems. 3. Pair of straight lines (i) Pair of lines, homogenous equations of second degree. General equation of second degree. Derivation of (1) condition for pair of lines (2) conditions for pair of parallel lines, perpendicular lines and distance between the pair of parallel lines.(3) Condition for pair of coincidence lines and (4) Angle and point of intersection of a pair of lines. LIMITS AND CONTINUTY (1) Limit of a function  definition and algebra of limits. (2) Standarad limits (with proofs) (i) Lim x n  a n/x  a= na n1 (n rational) x→a (ii) Lim sin θ / θ = 1 (θ in radian) and Lim tan θ / θ = 1 (θ in radian) θ→0 θ →0 (3) Statement of limits (without proofs): (i) Lim (1 + 1/n) n = e (ii) Lim (1 + x/n) n = ex n→ ∞ n→∞ (iii) Lim (1 + x)1/x = e (iv) Lim log(1+x)/x = 1 x→0 x→0 v) Lim (e x  1)/x= 1 vi) Lim (a x  1)/x = logea x→0 x→0 Problems on limits (4) Evaluation of limits which tale the form Lim f(x)/g(x)[0/0 form]’ Lim f(n)/g(n) x→0 x→∞ [∞ /∞ form] where degree of f(n) ≤ degree of g(n). Problems. (5) Continuity: Definitions of left hand and righthand limits and continuity. Problems. TRIGONOMETRY Measurement of Angles and Trigonometric Functions Radian measure  definition, Proofs of: (i) radian is constant (ii) p radians = 1800 (iii) s = rθ where θ is in radians (iv) Area of the sector of a circle is given by A = ½ r2θ where θ is in radians. Problems Trigonometric functions  definition, trigonometric ratios of an acute angle, Trigonometric identities (with proofs)  Problems.Trigonometric functions of standard angles. Problems. Heights and distances  angle of elevation, angle of depression, Problems. Trigonometric functions of allied angles, compound angles, multiple angles, submultiple angles and Transformation formulae (with proofs). Problems. Graphs of sinx, cosx and tanx. Relations between sides and angles of a triangle Sine rule, Cosine rule, Tangent rule, Halfangle formulae, Area of a triangle, projection rule (with proofs). Problems. Solution of triangles given (i) three sides, (ii) two sides and the included angle, (iii) two angles and a side, (iv) two sides and the angle opposite to one of these sides. Problems. MATHEMATICS  II ALGEBRA ELEMENTS OF NUMBER THEORY (i) Divisibility  Definition and properties of divisibility; statement of division algorithm. (ii) Greatest common divisor (GCD) of any two integers using Eucli’s algorithm to find the GCD of any two integers. To express the GCD of two integers a and b as ax + by for integers x and y. Problems. (iii) Relatively prime numbers, prime numbers and composite numbers, the number of positive divisors of a number and sum of all positive division of a number  statements of the formulae without proofs. Problems. (iv) Proofs of the following properties: (1) the smallest divisor (>1) of an integer (>1) is a prime number (2) there are infinitely many primes (3) if c and a are relatively prime and c ab then cb (4) if p is prime and pab then pa or pb (5) if there exist integers x and y such that ax+by=1 then (a,b)=1 (6) if (a,b)=1, (a,c)=1 then (a,bc)=1 (7) if p is prime and a is any ineger then either (p,a)=1 or pa (8) the smallest positive divisor of a composite number a does not exceed √a Congruence modulo m  definition, proofs of the following properties: (1) ≡mod m" is an equivalence relation (2) a ≡ b (mod m) => a ± x ≡ b ± x (mod m) and ax ≡ bx (mod m) (3) If c is relatively prime to m and ca ≡ cb (mod m) then a ≡ b (mod m)  cancellation law (4) If a ≡ b (mod m)  and n is a positive divisor of m then a ≡ b (mod n) (5) a ≡ b (mod m) => a and b leave the same remainder when divided by m Conditions for the existence of the solution of linear congruence ax ≡ b (mod m) (statement only), Problems on finding the solution of ax ≡ b (mod m) GROUP THEORY Groups  (i) Binary operation, Algebraic structures. Definition of semigroup, group, Abelian group  examples from real and complex numbers, Finite and infinite groups, order of a group, composition tables, Modular systems, modular groups, group of matrices  problems. (ii) Square roots, cube roots and fourth roots of unity from abelian groups w.r.t. multiplication (with proof). (iii) Proofs of the following properties: (i) Identity of a group is unique (ii)The inverse of an element of a group is unique (iii) (a1)1 = a, " a Є G where G is a group (iv)(a*b)1 = b1*a1 in a group (v)Left and right cancellation laws (vi)Solutions of a* x = b and y* a = b exist and are unique in a group (vii)Subgroups, proofs of necessary and sufficient conditions for a subgroup. (a) A nonempty subset H of a group G is a subgroup of G iff (i) " a, b Є H, a*b Є H and (ii) For each a Є H,a1Є H (b) A nonempty subset H of a group G is a subgroup of G iff a, b Є H, a * b1 Є H. Problems. VECTORS (i) Definition of vector as a directed line segment, magnitude and direction of a vector, equal vectors, unit vector, position vector of point, problems. (ii) Twoand threedimensional vectors as ordered pairs and ordered triplets respectively of real numbers, components of a vector, addition, substraction, multiplication of a vector by a scalar, problems. (iii) Position vector of the point dividing a given line segment in a given ratio. (iv) Scalar (dot) product and vector (cross) product of two vectors. (v) Section formula, Midpoint formula and centroid. (vi) Direction cosines, direction ratios, proof of cos2 α + cos2β +cos2γ = 1 and problems. (vii) Application of dot and cross products to the area of a parallelogram, area of a triangle, orthogonal vectors and projection of one vector on another vector, problems. (viii) Scalar triple product, vector triple product, volume of a parallelepiped; conditions for the coplanarity of 3 vectors and coplanarity of 4 points. (ix) Proofs of the following results by the vector method: (a) diagonals of parallelogram bisect each other (b) angle in a semicircle is a right angle (c) medians of a triangle are concurrent; problems (d) sine, cosine and projection rules (e) proofs of 1. sin(A±B) = sinAcosB±cosAsinB 2. cos(A±B) = cosAcosB μ sinAsinB MATRICES AND DETERMINANTS (i) Recapitulation of types of matrices; problems (ii) Determinant of square matrix, defined as mappings ∆: M (2,R) → R and ∆ :M(3,R) → R. Properties of determinants including ∆(AB)=∆(A) ∆(B), Problems. (iii) Minor and cofactor of an element of a square matrix, adjoint, singular and nonsingular matrices, inverse of a matrix,. Proof of A(Adj A) = (Adj A)A = A I and hence the formula for A1. Problems. (iv) Solution of a system of linear equations in two and three variables by (1) Matrix method, (2) Cramer’s rule. Problelms. (v) Characteristic equation and characteristic roots of a square matrix. CayleyHamilton therorem statement only. Verification of CayleyHamilton theorem for square matrices of order 2 only. Finding A1 by CayleyHamilton theorem. Problems. ANALYTICAL GEOMETRY CIRCLES (i) Definition, equation of a circle with centre (0,0) and radius r and with centre (h,k) and radius r. Equation of a circle with (x1 ,y1) and (x2,y2) as the ends of a diameter, general equation of a circle, its centre and radius  derivations of all these, problems. (ii) Equation of the tangent to a circle  derivation; problems. Condition for a line y=mx+c to be the tangent to the circle x2+y2 = r2  derivation, point of contact and problems. (iii) Length of the tangent from an external point to a circle  derivation, problems (iv) Power of a point, radical axis of two circles, Condition for a point to be inside or outside or on a circle  derivation and problems. Poof of the result “the radical axis of two circles is straight line perpendicular to the line joining their centres”. Problems. (v) Radical centre of a system of three circles  derivation, Problems. (vi) Orthogonal circles  derivation of the condition. Problems CONIC SECTIONS (ANANLYTICAL GEOMETRY) Definition of a conic 1. Parabola Equation of parabola using the focus directrix property (standard equation of parabola) in the form y2 = 4 ax ; other forms of parabola (without derivation), equation of parabola in the parametric form; the latus rectum, ends and length of latus rectum. Equation of the tangent and normal to the parabola y2 = 4 ax at a point (both in the Cartesian form and the parametric form) (1) derivation of the condition for the line y=mx+c to be a tangent to the parabola, y2 = 4 ax and the point of contact. (2) The tangents drawn at the ends of a focal chord of a parabola intersect at right angles on the directix  derivation, problems. 2. Ellipse Equation of ellipse using focus, directrix and eccentricity  standard equation of ellipse in the form x2/a2 +y2/b2 = 1(a>b) and other forms of ellipse (without derivations). Equation of ellips in the parametric form and auxillary circle. Latus rectum: ends and the length of latus rectum. Equation of the tangent and the normal to the ellipse at a point (both in the cartesian form and the parametric form) Derivations of the following: (1) Condition for the line y=mx+c to be a tangrent to the ellipsex2/a2 +y2/b2 = 1 at (x1,y1) and finding the point of contact (2) Sum of the focal distances of any point on the ellipse is equal to the major axis (3) The locus of the point of intersection of perpendicular tangents to an ellipse is a circle (director circle) 3 Hyperbola Equation of hyperbola using focus, directrix and eccentricity  standard equation hyperbola in the form x2/a2 y2/b2 = 1 Conjugate hyperbola x2/a2 y2/b2 = 1 and other forms of hyperbola (without derivations). Equation of hyperbola in the parametric form and auxiliary circle. The latus rectum; ends and the length of latus rectum. Equations of the tangent and the normal to the hyperbola x2/a2 y2/b2 = 1 at a point (both in the Cartesian from and the parametric form). Derivations of the following results: (1) Condition for the line y=mx+c to be tangent to the hyperbola x2/a2 y2/b2 = 1 and the point of contact. (2) Differnce of the focal distances of any point on a hyperbola is equal to its transverse axis. (3) The locus of the point of intersection of perpendicular tangents to a hyperbola is a circle (director circle) (4) Asymptotes of the hyperbola x2/a2 y2/b2 = 1 (5) Rectangular hyperbola (6) If e1 and e2 are eccentricities of a hyperbola and its conjugate then 1/e12+1/e22=1 TRIGONOMETRY COMPLEX NUMBERS (i) Definition of a complex number as an ordered pair, real and imaginary parts, modulus and amplitude of a complex number, equality of complex numbers, algebra of complex numbers, polar form of a complex number. Argand diagram, Exponential form of a complex number. Problems. (ii) De Moivre’s theorem  statement and proof, method of finding square roots, cube roots and fourth roots of a complex number and their representation in the Argand diagram. Problems. DIFFERENTIATION (i) Differentiability, derivative of function from first principles, Derivatives of sum and difference of functions, product of a constant and a function, constant, product of two functions, quotient of two functions from first principles. Derivatives of Xn , e x, a x, sinx, cosx, tanx, cosecx, secx, cotx, logx from first principles, problems. (ii) Derivatives of inverse trigonometric functions, hyperbolic and inverse hyperbolic functions. (iii) Differentiation of composite functions  chain rule, problems. (iv) Differentiation of inverse trigonometric functions by substitution, problems. (v) Differentiation of implicit functions, parametric functions, a function w.r.t another function, logarithmic differentiation, problems. (vi) Successive differentiation  problems upto second derivatives. APPLICATIONS OF DERIVATIVES (i) Geometrical meaning of dy\dx, equations of tangent and normal, angle between two curves. Problems. (ii) Subtangent and subnormal. Problems. (iii) Derivative as the rate measurer. Problems. (iv) Maxima and minima of a function of a single variable  second derivative test. Problems. INVERSE TRIGONOMETRIC FUNCTIONS (i) Definition of inverse trigonometric functions, their domain and range. Derivations of standard formulae. Problems. (ii) Solutions of inverse trigonometric equations. Problems. GENERAL SOLUTIONS OF TRIGONOMETRIC EQUATIONS General solutions of sinx = k, cosx=k, (1≤ k ≤1), tanx = k, acosx+bsinx= c  derivations. Problems. INTEGRATION (i) Statement of the fundamental theorem of integral calculus (without proof). Integration as the reverse process of differentiation. Standarad formulae. Methods of integration, (1) substitution, (2) partial fractions, (3) integration by parts. Problems. (4) Problems on integrals of: 1/(a+bcosx); 1/(a+bsinx); 1/(acosx+bsinx+c); 1/asin2x+bcos2x+c; [f(x)]n f ' (x); f'(x)/ f(x); 1/√(a2  x2 ) ; 1/√( x2  a2); 1/√( a2 + x2); 1/x √( x2± a2 ) ; 1/ (x2  a2); √( a2 ± x2); √( x2 a2 ); px+q/(ax2+bx+c; px+q/√(ax2+bx+c); pcosx+qsinx/(acosx+bsinx); ex[f(x) +f1 (x)] DEFINITE INTEGRALS (i) Evaluation of definite integrals, properties of definite integrals, problems. (ii) Application of definite integrals  Area under a curve, area enclosed between two curves using definite integrals, standard areas like those of circle, ellipse. Problems. DIFFERENTIAL EQUATIONS Definitions of order and degree of a differential equation, Formation of a first order differential equation, Problems. Solution of first order differential equations by the method of separation of variables, equations reducible to the variable separable form. General solution and particular solution. Problems. 
#43
12th May 2011, 01:47 AM




Re: Syllabus of manipal university entrance exam for BE course?
Hi dear,
the exam paper pattern for the manipal university entrance exam for BE course is : Physics  60 questions, Chemistry  60 questions, Mathematics  80 questions, English & General Aptitude  40 questions. for more information regarding the exam dates and other relavent information please visit www.manipal.edu Thanks 
#44
16th May 2011, 12:44 AM




Re: Syllabus of manipal university entrance exam for BE course?
Hi dear,
the Syllabus of manipal university entrance exam for BE course are very easy.but you have to work hard for it. the syllabus is just the same as required for any other reputed engineering entrance exam like IIT and AIEEE. you have to study physics ,maths and chemistry. test duration is of 2.30 hours and consists of 240 multiple choice questions (MCQ) of the objective type. all the best. Thanks 
#46
30th August 2011, 09:28 PM




Re: Syllabus of manipal university entrance exam for BE course?
sir,
i am a diploma student ..in aeronautical engineering i need an admission in manipal university through lateral entry.. what is the proper syllabus for us.. is the syllabus which u have mentioned is common for both diploma students and puc students? 
#47
31st August 2011, 12:58 AM




Re: Syllabus of manipal university entrance exam for BE course?
Hi dear,
the Syllabus of manipal university entrance exam for BE course are very easy.but you have to work hard for it. the syllabus is just the same as required for any other reputed engineering entrance exam like IIT and AIEEE. you have to study physics ,maths and chemistry. test duration is of 2.30 hours and consists of 240 multiple choice questions (MCQ) of the objective type. all the best. Thanks 
#48
10th November 2011, 11:19 PM




Re: Syllabus of manipal university entrance exam for BE course?
Quote:

#49
8th December 2011, 09:33 AM




Re: Syllabus of manipal university entrance exam for BE course?
Quote:

#50
28th February 2012, 10:56 AM




Re: Syllabus of manipal university entrance exam for BE course?
dear friend,
the Syllabus of manipal university entrance exam for BE course are very easy.but you have to work hard for it. the syllabus is just the same as required for any other reputed engineering entrance exam like IIT and AIEEE. you have to study physics ,maths and chemistry. test duration is of 2.30 hours and consists of 240 multiple choice questions (MCQ) of the objective type. all the best. 
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