Education and Career Forum

gd aftnoon sir
plz give me some suggestion for gk
how i can prepare gk for PO exam
can u provide me previous PO exam paper.
plz send me some current gk notes for bank of india po exam?

problems on Train

km/hr to m/s conversion:

a km/hr = a x 5 m/s.
18
m/s to km/hr conversion:

a m/s = a x 18 km/hr.
5
Formulas for finding Speed, Time and Distance

Time taken by a train of length l metres to pass a pole or standing man or a signal post is equal to the time taken by the train to cover l metres.

Time taken by a train of length l metres to pass a stationery object of length b metres is the time taken by the train to cover (l + b) metres.

Suppose two trains or two objects bodies are moving in the same direction at u m/s and v m/s, where u > v, then their relative speed is = (u - v) m/s.

Suppose two trains or two objects bodies are moving in opposite directions at u m/s and v m/s, then their relative speed is = (u + v) m/s.

If two trains of length a metres and b metres are moving in opposite directions at u m/s and v m/s, then:

The time taken by the trains to cross each other = (a + b) sec.
(u + v)
If two trains of length a metres and b metres are moving in the same direction at u m/s and v m/s, then:

The time taken by the faster train to cross the slower train = (a + b) sec.
(u - v)
If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then:

(A's speed) : (B's speed) = (b : a)

do with this formula, if you don't find the answer reply me


1.
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

A. 120 metres B. 180 metres
C. 324 metres D.
150 metres
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2.
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

A. 45 km/hr B.
50 km/hr
C. 54 km/hr D. 55 km/hr
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3.
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

A. 200 m B. 225 m
C.
245 m
D. 250 m
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4.
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

A. 1 : 3 B.
3 : 2
C. 3 : 4 D. None of these
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5.
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

A. 120 m B.
240 m
C. 300 m D. None of these

best of luck Test 1

Test 2

work it out, if you don't find the answer message me

6.
A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

A. 65 sec B.
89 sec
C. 100 sec D. 150 sec
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7.
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:

A.
50 m
B. 72 m
C. 80 m D. 82 m
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8.
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

A.
40 sec
B. 42 sec
C. 45 sec D. 48 sec
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9.
Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:

A. 36 B. 45
C.
48
D. 49
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10.
A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?

A. 3.6 sec B. 18 sec
C.
36 sec
D. 72 sec
best of luck

test 3

11.
A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?

A.
230 m
B. 240 m
C. 260 m D. 320 m
E. None of these
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12.
A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?

A. 230 m B. 240 m
C. 260 m D.
270 m
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13.
Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:

A. 30 km/hr B. 45 km/hr
C.
60 km/hr
D. 75 km/hr
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14.
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:

A. 9 B. 9.6
C. 10 D.
10.8
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15.
A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

A. 5 sec B.
6 sec
C. 7 sec D. 10 sec
Best of luck, if you don't find the answer reply me

Test 4


16.
A train travelling at a speed of 75 mph enters a tunnel 3 miles long. The train is mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?

A. 2.5 min B.
3 min
C. 3.2 min D. 3.5 min
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17.
A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:

A. 130 B. 360
C.
500
D. 540
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18.
A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?

A. 320 m B.
350 m
C. 650 m D. Data inadequate
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19.
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

A. 50 m B.
150 m
C. 200 m D. Data inadequate
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20.
A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

A. 69.5 km/hr B. 70 km/hr
C. 79 km/hr D.
79.2 km/hr

Best of luck, if you can't find the answer reply me

Test 5

work it out,


21.
How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

A. 25 B.
30
C. 40 D. 45
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22.
Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.

A. 12 sec B.
24 sec
C. 48 sec D. 60 sec
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23.
Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:

A. 10 B. 18
C.
36
D. 72
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24.
Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?

A. 10 B.
12
C. 15 D. 20
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25.
A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:

A. 48 km/hr B. 54 km/hr
C. 66 km/hr D.
82 km/hr

Best of luck

Test 6


26.
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?

A. 23 m B.
23 2 m
9
C.
27 7 m
9
D. 29 m
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27.
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:

A. 45 m B.
50 m
C. 54 m D. 72 m
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28.
A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?

A. 66 km/hr B. 72 km/hr
C. 78 km/hr D.
81 km/hr
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29.
A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is

A.
400 m
B. 450 m
C. 560 m D. 600 m
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30.
Two stations A and B are 110 km apart on a staright line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

A. 9 a.m. B.
10 a.m.
C. 10.30 a.m. D. 11 a.m.

31.
Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:

A. 2 : 3 B.
4 : 3
C. 6 : 7 D. 9 : 16

Best of luck, this topic is finished

Next topic is TIME and WORK

Work from Days:

If A can do a piece of work in n days, then A's 1 day's work = 1 .
n
Days from Work:

If A's 1 day's work = 1 , then A can finish the work in n days.
n
Ratio:

If A is thrice as good a workman as B, then:

Ratio of work done by A and B = 3 : 1.

Ratio of times taken by A and B to finish a work = 1 : 3.

1.
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

A. 20 days B.
22 1 days
2
C. 25 days D. 30 days
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2.
Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

A. 3 : 4 B.
4 : 3
C. 5 : 3 D. Data inadequate
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3.
P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

A.
5 5
11
B.
5 6
11
C.
6 5
11
D.
6 6
11
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4.
X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

A. 6 days B.
10 days
C. 15 days D. 20 days
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5.
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

A. 35 B.
40
C. 45 D. 50

if you find any difficulty say me, i will help you out,Best of luck

Test 2 in Time and Work

6.
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

A. Rs. 375 B.
Rs. 400
C. Rs. 600 D. Rs. 800
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7.
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

A. 3 B. 5
C.
7
D. Cannot be determined
E. None of these
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8.
A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

A.
1 day
24
B.
7 day
24
C.
3 3 days
7
D. 4 days
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9.
A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

A. 30 days B. 40 days
C.
60 days
D. 70 days
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10.
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

A. 12 days B.
15 days
C. 16 days D. 18 days

Best of luck

Test 3

11.
A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

A. 4 days B.
6 days
C. 8 days D. 12 days
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12.
A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

A. 15 days B. 20 days
C.
25 days
D. 30 days
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13.
Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

A. 15 B.
16
C. 18 D. 25
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14.
A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

A. 5 days B. 6 days
C.
10 days
D.
10 1 days
2
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15.
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

A.
4 days
B. 5 days
C. 6 days D. 7 days

Best of luck, This topic is finished

PROFIT and LOSS Topic


IMPORTANT FACTS

Cost Price:

The price, at which an article is purchased, is called its cost price, abbreviated as C.P.

Selling Price:

The price, at which an article is sold, is called its selling prices, abbreviated as S.P.

Profit or Gain:

If S.P. is greater than C.P., the seller is said to have a profit or gain.

Loss:

If S.P. is less than C.P., the seller is said to have incurred a loss.

IMPORTANT FORMULAE

Gain = (S.P.) - (C.P.)

Loss = (C.P.) - (S.P.)

Loss or gain is always reckoned on C.P.

Gain Percentage: (Gain %)

Gain % = Gain x 100
C.P.
Loss Percentage: (Loss %)

Loss % = Loss x 100
C.P.
Selling Price: (S.P.)

SP = (100 + Gain %) x C.P
100
Selling Price: (S.P.)

SP = (100 - Loss %) x C.P.
100
Cost Price: (C.P.)

C.P. = 100 x S.P.
(100 + Gain %)
Cost Price: (C.P.)

C.P. = 100 x S.P.
(100 - Loss %)
If an article is sold at a gain of say 35%, then S.P. = 135% of S.P.

If an article is sold at a loss of say, 35% then S.P. = 65% of C.P.

When a person sells two similar items, one at a gain of say x%, and the other at a loss of x%, then the seller always incurs a loss given by:

Loss % = Common Loss and Gain % 2 = x 2 .
10 10
If a trader professes to sell his goods at cost price, but uses false weights, then

Gain % = Error x 100 %.
(True Value) - (Error)


1.
Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:

A.
4 4 %
7
B.
5 5 %
11
C. 10% D. 12%
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2.
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

A. 15 B.
16
C. 18 D. 25
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3.
If selling price is doubled, the profit triples. Find the profit percent.

A.
66 2
3
B.
100
C.
105 1
3
D. 120
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4.
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

A. 30% B.
70%
C. 100% D. 250%
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5.
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

A. 3 B. 4
C.
5
D. 6

Best of luck, i will send you the answer later, work it out

Test 2 in Profit


6.
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

A.
Rs. 2000
B. Rs. 2200
C. Rs. 2400 D. Data inadequate
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7.
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

A. Rs. 18.20 B. Rs. 70
C.
Rs. 72
D. Rs. 88.25
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8.
A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

A. Rs. 1090 B. Rs. 1160
C.
Rs. 1190
D. Rs. 1202
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9.
Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?

A. 3.5 B. 4.5
C.
5.6
D. 6.5
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10.
Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:

A. 30% B.
33 1 %
3
C. 35% D.
44%

Best of luck, work it out

Next topic is PROBLEMS ON AGES


Odd Days:

We are supposed to find the day of the week on a given date.

For this, we use the concept of 'odd days'.

In a given period, the number of days more than the complete weeks are called odd days.

Leap Year:

(i). Every year divisible by 4 is a leap year, if it is not a century.

(ii). Every 4th century is a leap year and no other century is a leap year.

Note: A leap year has 366 days.

Examples:

Each of the years 1948, 2004, 1676 etc. is a leap year.

Each of the years 400, 800, 1200, 1600, 2000 etc. is a leap year.

None of the years 2001, 2002, 2003, 2005, 1800, 2100 is a leap year.

Ordinary Year:

The year which is not a leap year is called an ordinary years. An ordinary year has 365 days.

Counting of Odd Days:

1 ordinary year = 365 days = (52 weeks + 1 day.)

1 ordinary year has 1 odd day.

1 leap year = 366 days = (52 weeks + 2 days)

1 leap year has 2 odd days.

100 years = 76 ordinary years + 24 leap years

= (76 x 1 + 24 x 2) odd days = 124 odd days.

= (17 weeks + days) 5 odd days.

Number of odd days in 100 years = 5.

Number of odd days in 200 years = (5 x 2) 3 odd days.

Number of odd days in 300 years = (5 x 3) 1 odd day.

Number of odd days in 400 years = (5 x 4 + 1) 0 odd day.

Similarly, each one of 800 years, 1200 years, 1600 years, 2000 years etc. has 0 odd days.

Day of the Week Related to Odd Days:

No. of days: 0 1 2 3 4 5 6
Day: Sun. Mon. Tues. Wed. Thurs. Fri. Sat.


1.
Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?

A.
2 times
B.
2 1 times
2
C.
2 3 times
4
D. 3 times
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2.
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

A.
4 years
B. 8 years
C. 10 years D. None of these
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3.
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:

A.
14 years
B. 19 years
C. 33 years D. 38 years
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4.
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?

A. 7 B. 8
C. 9 D.
10
E. 11
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5.
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?

A.
24
B. 27
C. 40 D. Cannot be determined
E. None of these

best of luck, if you don't find the answer message me, i will send you,do well

Test 2 in AGES


6.
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:

A. 14 years B. 18 years
C. 20 years D.
22 years
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7.
Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?

A.
16 years
B. 18 years
C. 20 years D. Cannot be determined
E. None of these
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8.
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:

A. 12 years B. 14 years
C. 18 years D.
20 years
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9.
At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?

A. 12 years B.
15 years
C. 19 and half D. 21 years
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10.
Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?

A. 16 years B. 18 years
C. 28 years D.
24.5 years
E. None of these

Best of luck,work it out

Test 3


11.
The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

A. 8, 20, 28 B.
16, 28, 36
C. 20, 35, 45 D. None of these
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12.
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

A. 2 years B. 4 years
C.
6 years
D. 8 years
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13.
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

A. 32 years B. 36 years
C.
40 years
D. 48 years
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14.
Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

A. 1 year B. 2 years
C. 25 years D.
Data inadequate
E. None of these
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15.
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:

A. 5 : 2 B.
7 : 3
C. 9 : 2 D. 13 : 4

Best pf luck,if you don't find the answer reply me

Next topic is AVERAGE


Average:

Average = Sum of observations
Number of observations
Average Speed:

Suppose a man covers a certain distance at x kmph and an equal distance at y kmph.

Then, the average speed druing the whole journey is 2xy kmph.
x + y


1.
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

A.
6.25
B. 6.5
C. 6.75 D. 7
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2.
A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?

A.
28 4 years
7
B.
31 5 years
7
C.
32 1 years
7
D. None of these
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3.
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

A.
Rs. 4991
B. Rs. 5991
C. Rs. 6001 D. Rs. 6991
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4.
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

A. 0 B. 1
C. 10 D.
19
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5.
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?

A. 76 kg B. 76.5 kg
C.
85 kg
D. Data inadequate
E. None of these

if you din't knew the answer reply me, i will send you

Test 2 in Average


6.
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?

A.
23 years
B. 24 years
C. 25 years D. None of these
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7.
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:

A. 3500 B.
4000
C. 4050 D. 5000
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8.
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:

A. 35 years B.
40 years
C. 50 years D. None of these
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9.
A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?

A.
Rs. 7.98
B. Rs. 8
C. Rs. 8.50 D. Rs. 9
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10.
In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?

A.
67 kg.
B. 68 kg.
C. 69 kg. D. Data inadequate
E. None of these

Best of luck,work it out

Test 3 on Average


11.
The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:

A. 17 kg B. 20 kg
C. 26 kg D.
31 kg
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12.
The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.

A. 47.55 kg B. 48 kg
C.
48.55 kg
D. 49.25 kg
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13.
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:

A. 250 B. 276
C. 280 D.
285
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14.
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:

A. 53.33 B.
54.68
C. 55 D. None of these
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15.
A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is:

A. 10 B. 20
C.
40
D. 73

best of luck, try to work out all the problem, i will send you the answer later

Next topic is PERMUTATION AND COMBINATION


Factorial Notation:

Let n be a positive integer. Then, factorial n, denoted n! is defined as:

n! = n(n - 1)(n - 2) ... 3.2.1.

Examples:

We define 0! = 1.

4! = (4 x 3 x 2 x 1) = 24.

5! = (5 x 4 x 3 x 2 x 1) = 120.

Permutations:

The different arrangements of a given number of things by taking some or all at a time, are called permutations.

Examples:

All permutations (or arrangements) made with the letters a, b, c by taking two at a time are (ab, ba, ac, ca, bc, cb).

All permutations made with the letters a, b, c taking all at a time are:
( abc, acb, bac, bca, cab, cba)

Number of Permutations:

Number of all permutations of n things, taken r at a time, is given by:

nPr = n(n - 1)(n - 2) ... (n - r + 1) = n!
(n - r)!
Examples:

6P2 = (6 x 5) = 30.

7P3 = (7 x 6 x 5) = 210.

Cor. number of all permutations of n things, taken all at a time = n!.

An Important Result:

If there are n subjects of which p1 are alike of one kind; p2 are alike of another kind; p3 are alike of third kind and so on and pr are alike of rth kind,
such that (p1 + p2 + ... pr) = n.

Then, number of permutations of these n objects is = n!
(p1!).(p2)!.....(pr!)
Combinations:

Each of the different groups or selections which can be formed by taking some or all of a number of objects is called a combination.

Examples:

Suppose we want to select two out of three boys A, B, C. Then, possible selections are AB, BC and CA.

Note: AB and BA represent the same selection.

All the combinations formed by a, b, c taking ab, bc, ca.

The only combination that can be formed of three letters a, b, c taken all at a time is abc.

Various groups of 2 out of four persons A, B, C, D are:

AB, AC, AD, BC, BD, CD.

Note that ab ba are two different permutations but they represent the same combination.

Number of Combinations:

The number of all combinations of n things, taken r at a time is:

nCr = n! = n(n - 1)(n - 2) ... to r factors .
(r!)(n - r!) r!
Note:

nCn = 1 and nC0 = 1.

nCr = nC(n - r)

Examples:

i. 11C4 = (11 x 10 x 9 x 8) = 330.
(4 x 3 x 2 x 1)
ii. 16C13 = 16C(16 - 13) = 16C3 = 16 x 15 x 14 = 16 x 15 x 14 = 560.
3! 3 x 2 x 1



1.
In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together?

A. 3990 B.
1540
C. 1995 D. 3672
E. None of these
View Answer Workspace Report Discuss in Forum
2.
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

A. 564 B. 645
C. 735 D.
756
E. None of these
View Answer Workspace Report Discuss in Forum
3.
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

A. 360 B. 480
C.
720
D. 5040
E. None of these
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4.
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

A. 810 B. 1440
C. 2880 D.
50400
E. 5760
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5.
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

A. 210 B. 1050
C.
25200
D. 21400
E. None of these

Best of luck, work it out

Next topic is PERMUTATION AND COMBINATION


Factorial Notation:

Let n be a positive integer. Then, factorial n, denoted n! is defined as:

n! = n(n - 1)(n - 2) ... 3.2.1.

Examples:

We define 0! = 1.

4! = (4 x 3 x 2 x 1) = 24.

5! = (5 x 4 x 3 x 2 x 1) = 120.

Permutations:

The different arrangements of a given number of things by taking some or all at a time, are called permutations.

Examples:

All permutations (or arrangements) made with the letters a, b, c by taking two at a time are (ab, ba, ac, ca, bc, cb).

All permutations made with the letters a, b, c taking all at a time are:
( abc, acb, bac, bca, cab, cba)

Number of Permutations:

Number of all permutations of n things, taken r at a time, is given by:

nPr = n(n - 1)(n - 2) ... (n - r + 1) = n!
(n - r)!
Examples:

6P2 = (6 x 5) = 30.

7P3 = (7 x 6 x 5) = 210.

Cor. number of all permutations of n things, taken all at a time = n!.

An Important Result:

If there are n subjects of which p1 are alike of one kind; p2 are alike of another kind; p3 are alike of third kind and so on and pr are alike of rth kind,
such that (p1 + p2 + ... pr) = n.

Then, number of permutations of these n objects is = n!
(p1!).(p2)!.....(pr!)
Combinations:

Each of the different groups or selections which can be formed by taking some or all of a number of objects is called a combination.

Examples:

Suppose we want to select two out of three boys A, B, C. Then, possible selections are AB, BC and CA.

Note: AB and BA represent the same selection.

All the combinations formed by a, b, c taking ab, bc, ca.

The only combination that can be formed of three letters a, b, c taken all at a time is abc.

Various groups of 2 out of four persons A, B, C, D are:

AB, AC, AD, BC, BD, CD.

Note that ab ba are two different permutations but they represent the same combination.

Number of Combinations:

The number of all combinations of n things, taken r at a time is:

nCr = n! = n(n - 1)(n - 2) ... to r factors .
(r!)(n - r!) r!
Note:

nCn = 1 and nC0 = 1.

nCr = nC(n - r)

Examples:

i. 11C4 = (11 x 10 x 9 x 8) = 330.
(4 x 3 x 2 x 1)
ii. 16C13 = 16C(16 - 13) = 16C3 = 16 x 15 x 14 = 16 x 15 x 14 = 560.
3! 3 x 2 x 1



1.
In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together?

A. 3990 B.
1540
C. 1995 D. 3672
E. None of these
View Answer Workspace Report Discuss in Forum
2.
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

A. 564 B. 645
C. 735 D.
756
E. None of these
View Answer Workspace Report Discuss in Forum
3.
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

A. 360 B. 480
C.
720
D. 5040
E. None of these
View Answer Workspace Report Discuss in Forum
4.
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

A. 810 B. 1440
C. 2880 D.
50400
E. 5760
View Answer Workspace Report Discuss in Forum
5.
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

A. 210 B. 1050
C.
25200
D. 21400
E. None of these

Best of luck, work it out

Test 2 on Permutation and combination



6.
In how many ways can the letters of the word 'LEADER' be arranged?

A. 72 B. 144
C.
360
D. 720
E. None of these
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7.
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

A. 159 B. 194
C. 205 D.
209
E. None of these
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8.
How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

A. 5 B. 10
C. 15 D.
20
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9.
In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

A. 266 B. 5040
C.
11760
D. 86400
E. None of these
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10.
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

A. 32 B. 48
C.
64
D. 96
E. None of these

Best of luck, if you can't able to find the answer i will send you

Test 3

11.
In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

A. 32 B. 48
C.
36
D. 60
E. 120
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12.
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A.
63
B. 90
C. 126 D. 45
E. 135
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13.
How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

A. 40 B. 400
C.
5040
D. 2520
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14.
In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?

A. 10080 B. 4989600
C.
120960
D. None of these
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15.
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

A. 120 B.
720
C. 4320 D. 2160
E. None of these


Best of luck, work hard to get the success

Originally Posted by roma.chugh23

gd aftnoon sir
plz give me some suggestion for gk
how i can prepare gk for PO exam
can u provide me previous PO exam paper.
plz send me some current gk notes for bank of india po exam?

Try to get the general awarness in
1.Current National Events,
2.International Events,
3.Economic Scene related to(production,imports,exports,new economic policies,economic development of india and other related programmes),
4.Persons and the Places in the news,
5.Latest GK related to (Awards,Day,Anniversary,Appointments,Books
and Authors,Conferences,Defence,Facts and Figures,Films Projects etc..),
5.Latest Information on science and technology related to(space research,everyday science so on),
6.Sports and Games latest informaton

In the above areas you should prepare well and along with this u can get success competition review in all the book stories. It provide u question banks for po and other examinations too.

All the Best for ur Success

Formula on H.C.F and L.C.M

Factors and Multiples:

If number a divided another number b exactly, we say that a is a factor of b.

In this case, b is called a multiple of a.

Highest Common Factor (H.C.F.) or Greatest Common Measure (G.C.M.) or Greatest Common Divisor (G.C.D.):

The H.C.F. of two or more than two numbers is the greatest number that divided each of them exactly.

There are two methods of finding the H.C.F. of a given set of numbers:

Factorization Method: Express the each one of the given numbers as the product of prime factors. The product of least powers of common prime factors gives H.C.F.

Division Method: Suppose we have to find the H.C.F. of two given numbers, divide the larger by the smaller one. Now, divide the divisor by the remainder. Repeat the process of dividing the preceding number by the remainder last obtained till zero is obtained as remainder. The last divisor is required H.C.F.

Finding the H.C.F. of more than two numbers: Suppose we have to find the H.C.F. of three numbers, then, H.C.F. of [(H.C.F. of any two) and (the third number)] gives the H.C.F. of three given number.

Similarly, the H.C.F. of more than three numbers may be obtained.

Least Common Multiple (L.C.M.):

The least number which is exactly divisible by each one of the given numbers is called their L.C.M.

There are two methods of finding the L.C.M. of a given set of numbers:

Factorization Method: Resolve each one of the given numbers into a product of prime factors. Then, L.C.M. is the product of highest powers of all the factors.

Division Method (short-cut): Arrange the given numbers in a rwo in any order. Divide by a number which divided exactly at least two of the given numbers and carry forward the numbers which are not divisible. Repeat the above process till no two of the numbers are divisible by the same number except 1. The product of the divisors and the undivided numbers is the required L.C.M. of the given numbers.

Product of two numbers = Product of their H.C.F. and L.C.M.

Co-primes: Two numbers are said to be co-primes if their H.C.F. is 1.

H.C.F. and L.C.M. of Fractions:

1. H.C.F. = H.C.F. of Numerators
L.C.M. of Denominators
2. L.C.M. = L.C.M. of Numerators
H.C.F. of Denominators
H.C.F. and L.C.M. of Decimal Fractions:

In a given numbers, make the same number of decimal places by annexing zeros in some numbers, if necessary. Considering these numbers without decimal point, find H.C.F. or L.C.M. as the case may be. Now, in the result, mark off as many decimal places as are there in each of the given numbers.

Comparison of Fractions:

Find the L.C.M. of the denominators of the given fractions. Convert each of the fractions into an equivalent fraction with L.C.M as the denominator, by multiplying both the numerator and denominator by the same number. The resultant fraction with the greatest numerator is the greatest.


1.
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

A.
4
B. 7
C. 9 D. 13
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2.
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

A. 276 B. 299
C.
322
D. 345
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3.
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

A. 4 B. 10
C. 15 D.
16
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4.
Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

A.
4
B. 5
C. 6 D. 8
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5.
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

A. 9000 B. 9400
C.
9600
D. 9800

Best of luck work account to that

Originally Posted by roma.chugh23

gd aftnoon sir
plz give me some suggestion for gk
how i can prepare gk for PO exam
can u provide me previous PO exam paper.
plz send me some current gk notes for bank of india po exam?

Dear friend,
For bank or those type of compitative exem aptitude is very importent.
I will suggest you some books like
Quantative Aptitude -R.S.Agarwal
GRE - Berron
GMAt
CAT
etc
Those books are very effective for those exem...

For preparing GK you must be update with news and for that you just read newspaper and read previous year question papers

some are provided below:--

hello friends,

For the current gk. you better go throu near by bookstores and GK books.

For other questions you can follow the following link:

http://questionpaper.in/QuestionPaper.aspx?id=666&bn=53

http://www.sriraj.org/notifications-and-exam-results/bank-exams-question-paper/


good luck.........

will u help me for preparing gk of po exam?

sir, how to solve out input -output question of p.o.
[email protected]

where can i find previous bank clerk exam question papers?

sir plz post answer as well so that i can check my answer

sir please give me advice for prepartion for ibps po for self study