PART - 1 ( same for all departments ) , Total 55 questions
Q1 - 30 +2 level PCM, Q31-50 aptitude Q51-55 algorithm
1) An electron can move freely in the field
of an em wave.In which direction does it move? a)in the direction of
elec. field
b)in the direction of magnetic field
c)in the direction of propagation of em wave
d)in a plane containing magnetic field & direction
of propagation of wave
Ans . (a)
2) A man measures the length of a rod . In the first case the man
is moving & in the second case the rod is
moving. Will there be any change in the measurement of length ?
3)
The wavelength of X-rays lies
a) above a certain minimum
value b) below a certain maximum value
c) above a certain minimum and below a
certain maximum value
d) above a certain maximum and below a
certain minimum value Correct
answer (c)
4) Toluene + chlorine in presence of ferric chloride gives
a) metachlorotoluene b) ortho & para chlorotoluene
c) benzoyl chloride d)
.. answer (b)> >
.5) Mechanism by which a proton
..
a) metamerism
b) tautomerism
c) structural isomerism d)
Ans: c
6) Acidic effect is shown by
a) CO3- - b) NO3-
c) I- d) OH
probably
Ans: c
7) Which is correct ?
a) 40 ml of hydrogen sulphide & 40 ml of chlorine gives 120 ml of gas under
stp
b)
gram equivalent weight
c)
normality
. d)
.
.8) In how many ways can 7 distinct toys be
distributed among 3 children ?
a) 3^7 b) ..
c) 7p3 d)7c3> >
ans :a
9) One series is 17,21,25,29
.Another series is 16,21,26,31
. Sum of first 100 terms common to both
series is
ans: 101100
10) There are 10 letters . How many 5 lettered words can be formed
if the letters may be repeated ?
ans 10^5
11) A answers a question correctly in 80% cases & B answers the same
question correctly in 70% cases .What
is the probability that both will not answer correctly is
ans : 1-((7/10)*(8/10))
12) A & B think of a no. between 1 & 25 . If the
nos. match they win a prize .What is the probability that they
win in the first attempt ?
a) 1/25 b) 24/25
c) 2/25 d)
none ans
:1/25
13) Solve differential equation dy = (sec x + y tan x) dx.
Ans: y cos x = x
14) Solve differential equation xdy - ydx + logxdx = 0 at ( x = 1 y = 1)
15) Evaluate ς(2x-3)/(x*x + x + 1)**2 dx
Ans: - 1/(x*x + x+ 1)
+constant
16) Find the value of f(0) when f(x) = {1-cosx(1-cosx)}/x**4 is
continuous.
17) Find the value of Lt { ex dx}/{ e2x dx }
[Lower lim=0,> Upper lim=x in both integrals]
18) Given x = sin inverse t, y = log ( 1 - t *t ) Find (d/dx)(dy/dx) at t =
0.5
ans : (-8/3)
19) There are two groups having 5 questions in each group . In how many
ways can you answer 6 questions
taking maximum 4 from each group ?
a)150 b)200 c)250 d)300 ans :d
20
) There are 3 persons A,B,C.Find the probability that A will come first and B will come before C.
ans : 1/6
21) Sum of series 1 + ( 1+1/n) + 2(1+1/n)^2 + 3(1+1/n)^3 +
to n
terms is
22) 100 drops each of charge .. and radius
are
joined to form a single drop. Which of the following is correct ?
23) Value of a to make the function
..
24) Arrange in the order of acidity of phenol, o-chlorel, nitro benzene
25) Two atoms having same atomic number and mass number are called
a. isotope b. isobar
c. isomer d. isotone.> Ans : b
(same aomic number is called isoope,same neurons called isoone)
26) A water drop having 0.3 micro coulomb charge in the field 50 volts per metre.> What is the force
?
Aptitude
31-33 (see GRE analytical ability)A Co. has to select 4 mechanical engineers out of 3 senior ( X,Y,Z)& 4 junior
(A,B,C,D). 2 should be senior & 2 should be junior. Following combinations are not allowed
i) A and Y ii) Z
and
C iii) A and B
31
If A is selected who else are selected ? correct
answer : X,Z,D
34 The letters SURITI are arranged in all possible ways and the words are
Arranged in alphabetical order.What is
the rank of the word SURITI ?
a) 245 b)307
35-36 In a certain code X
.. is written
as 6
35 What will be MOON in that code ? ans : 2778
36 Which word will have the code SOFT? correct
ans FEAT
37-39 A question is followed by 2 conditions A and B . Mark
a) only A is sufficient, B not necessary.
b) only B is sufficient, A not necessary.
c) A alone sufficient, B alone sufficient.
d) A and B together are necessary
A.) x**2 + 1 = 0 B). x**3-1 = 0
Ans: b
38) One man is standing near a light post of height 18 ft . What is the length of the
shadow?
A). height of man is 6 ft. B)he is standing 20 ft away from lamp post.
39 One train T1 starts from a town P towards
Q .Another T2 starts from Q towards P .They meet at C .Which
train has greater velocity ? A) T2 reaches C before T1 B)
.
Ans. a
40-42 see GRE logical ability e.g All cats are dogs All dogs are rats Q. an organic comp. Having the
fwg.
Components, c=40%, h 6.6%, o=53.3 %. Find the empirical formula. Ans. CH2O.
PART -2 (ELECTRICAL) 20 questions
56) A gas is taken from state P1,V1,T1 to state P2,V2,T2 by two
different paths. Which is constant ?
a) dW b) dQ c) dQ - dW d) dQ + dW ans : c
57 In a triode valve the value of saturation current can be increased by
a) increasing grid
voltage
b) increasing plate voltage
c) increasing separation between
. d) Inc. temp. of cathode
ans : d
58 For producing photoelectricity collector is placed vertically over emitter &
light is incident .An elec. field is
applied downwards .What happens ?
a) photocurrent increases
b) K.E. of emitted electrons increases
c)
.
d)
. ans: (b)
59 In machines interpoles are provided
a)
..
b) to improve comutation c)
..
d) due to variation of air gaps ans b
60 In a CRO a beam has a horizontal swap of 1000Hz.It has 2 phases per cycle
..What is the rate of vertical
sweep ?
a)500Hz b) 1000Hz
c) 2000Hz d)5000Hz
61 A condensor has dielectric of thickness 3 cm and permittivity 4 Another dielectric of thickness 4 cm and
permittivity x is inserted so that capacitance of condensor is now 1/3 rd of original capacitance .
Value of x is
Ans 3.3
62 In a 3-phase 4-pole induction motor slip = 4%.Rotor speed = 720 rpm Supply frequency
is
Ans: 25Hz
63) The stator of induction motor has supply frquency 50 Hz when
rotor is circuited . The rotor is rotated at 1800
rpm in the direction of stator RMF. The value of rotor frequency
is
64 Which two of the following are in time domain ?
i) Nyquist plot ii) Root locus iii) Routh - Hurwitz iv) Bode Plot
65 The no. of zeroes in K(s+2)/s(s+2-j4)(s+2+j4) is
a) one
b) two c) three
d) none
66
Routh Hurwitz criterion gives
a) no. of roots to the right of jw axis
b) no. of roots to the left of jw axis
c) no. of roots to the right of jw axis & on it
d) no. of roots to the left of jw axis & on
it
67 An induction motor shows loss of torque with vibrations. Possible cause is
a) bearings need greasing b) there is short circuit
c)
. d)
.
68 In an RLC circuit R=20 ohm , L=0.5 H , C=10 microfarad.The
resonant frequency , bandwidth ,
. are
ans . 1414 rad/sec
.