Wipro Placement Papers

questions not in order.

1.distance D=rt where r & t are +ve and r is constant,as t increses then

ans:D increses irrespective of r & t

2.E=I*I*R what is the effect of E when I becomes I/2

ans:1/4E(E decreses by 4 times)

3.out of 55 eggs 5 are defective. what is % of defective eggs


4.salary is 's' per month,'x'% of salary is given as bonus, if 3 months
salary is s1,s2 & s3 then what is his salary.

ans:s1*x/100 + s2*x/100 + s3*x/100

5.consider expresion 'ab' . what happens when 'a' is divided by 'c' &
'b' is
multiplied by 'c'.

ans:value remains same.

6.area of triangle=1/2*b*h base incresed by 4 times & height is devided
2, the net effect of area.

ans:twice the the original area.

7.in base representation for a rupee 100 paise,then base 8
what is rupee value .


8.A>B,B>C,C=D,D>E,then which is greatest
a)A/B b) A/C c) A/E d)none

ans: c

9.to travel 'm' miles the time is 'h' hours,then what is the time taken
travel M miles.


10.a sum 's' is devided into 4 parts.second person gets Rs 10 more than
first.3rd person is Rs 10 more than second, 4th is 10 more than 3rd.
how much amount do 1st person get.


11.fridge cost R Rs,cover value is 5,discount d% then its new cost


12.1/8 is devided by 's' , if 's' is incresed by 2 times, what is the

ans:increses two times.
section 2. letter series
1. a c b d f e g i __ ans: h
2. x y z u v w r s t __ ans: o
3. a c f j o __ ans:u
section 3. numerical ability
1. 10099+99=10198
2. 31 - 29+2/33=__ ans:64/33
3. 2.904+0.0006=___ ans: 2.9046
4. 55/1000=___ ans:.005
5. 0.799*0.254= 0.202946
6. 200/7*5.04=144
7. 842.8 +602=1444.8
8. 5.72% of 418= 23.9096
9. 625% of 7.71=48.1875
10. 25% of 592=148.00
11. 665+22.9=687.9
12. 15% of 86.04=12.906
section 4 : DIAGRAMMING
each flowchart contains 5 questions .
in each flow chart,there will be 5 numbered(1,2,3,4&5)
boxes(cells).each cell we have to fill with the conditions given below.

1. 400 employee(not complete question)
different categories based on age,salary,lenth of expereince in years
cell 1-c,cell2-a,cell3-b,cell4-e,cell5-d.

2. 10 balls,red,black balls.
2 points for red balls etc.. 3 points for a ball
if it is of the same colour as preceeding one..
cell 1-c,cell 3-d,cell 5-d,cell 2-e,cell 4-e.

30 coins. these are divided into 3 groups:A,B,C to find
the only largest weight coin,other 29 coins are of lower weight.
D A C A C.

totally there are 100 numbers to find largest(LNUM).smallest(SNUM).
A _ D _ _ _
feed problem to adjust temperature and pressure for
optimal production.
(answer not known exactly.).

5.bag red,black balls,different condition
odd,red etc
---------------------------------end ---------------------------

there two types of jobs in wipro.1 is soft ware side
2 is hard ware side

in soft ware side there is only interview (no test)
in hard ware side both test & interview.
for software interview the main possible areas to ask are
1.a deep look into C
2.an outlook of datasrtuctures
3.operating systems
4.networking mainly ethernet,internet etc..


> Wipro paper(System software)
> July-1997
> ------------
> PART --A
> ------------------------------------------------------
> 1) abcD+abcd+aBCd+aBCD
> then the simplified function is
> ( Capital letters are copliments of corresponding letters
> A=compliment of a)
> [a] a [b] ab [c] abc [d] a(bc)* [e] mone
> (bc)*=compliment of bc
> Ans: e
> -------------------------------------
> 2) A 12 address lines maps to the memory of
> [a] 1k bytes [b] 0.5k bytes [c] 2k bytes [d] none
> Ans: b
> ----------------------------------------
> 3) In a processor these are 120 instructions . Bits needed to impliment
> this instructions
> [a] 6 [b] 7 [c] 10 [d] none
> Ans: b
> -----------------------------------------
> 4) In 8085 microprocessor READY signal does.which of the following
> is incorrect statements
> [a]It is input to the microprocessor
> [b] It sequences the instructions
> Ans : b
> ----------------------------------------
> 5) Return address will be returned by function to
> [a] Pushes to the stack by call
> Ans : a
> ------------------------------------------
> 6)
> n=7623
> {
> temp=n/10;
> result=temp*10+ result;
> n=n/10
> }
> Ans : 3267
> ----------------------------------------------
> 7) If A>B then
> F=F(G);
> else B>C then
> F=G(G);
> in this , for 75% times A>B and 25% times B>C then,is 10000 instructions
> are there ,then the ratio of F to G
> [a] 7500:2500 [b] 7500:625 [c] 7500:625 if a=b=c else
> 7500:2500
> --------------------------------------------------
> 8) In a compiler there is 36 bit for a word and to store a character 8bits are
> needed. IN this to store
> a character two words are appended .Then for storing a K characters string,
> How many words are needed.
> [a] 2k/9 [b] (2k+8)/9 [c] (k+8)/9 [d] 2*(k+8)/9 [e] none
> Ans: a
> ---------------------------------------------------------
> 9) C program code
> int zap(int n)
> {
> if(n<=1)then zap=1; > else zap=zap(n-3)+zap(n-1);
> }
> then the call zap(6) gives the values of zap
> [a] 8 [b] 9 [c] 6 [d] 12 [e] 15
> Ans: b
> ---------------------------------------------------------------
> -------
> 1) Virtual memory size depends on
> [a] address lines [b] data bus
> [c] disc space [d] a & c [e] none
> Ans : a
> -----------------------------------------------
> 2) Critical section is
> [a]
> [b] statements which are accessing shared resourses
> Ans : b
> -------------------------------------------------
> 3) load a
> mul a
> store t1
> load b
> mul b
> store t2
> mul t2
> add t1
> then the content in accumulator is
> Ans : a**2+b**4
> ---------------------------------------------------
> 4) question (3) in old paper
> 5) q(4) in old paper
> 6) question (7) in old paper
> 7) q(9) in old paper
> ------------------------------


1. Place of the word "SURITI" in the dictionary involving the letters of its own.
2. There are two groups having five questions in each group. You have to answer six questions taking maximum four from each.( 150 200/ 250 300)
3. There are three person A , B & C. Find the probability that A will come first and B will come before C.
4. Seven toys are to be distributed among three children's. What is the number of distribution? ( )
5. Two men think numbers one to twenty five each. Find the probability to obtain no match. ( 1/25 24/25 2/25 none)
6. There are two series: 16 21 26 ...... & 17 21 25 ..... Find the sum of 100 terms which are common to the both series. Ans.-101100
7. Solve differential equation dy = (sec x + ytan x)dx. Ans: ycos x = x
8. Solve differential equation xdy - ydx + logxdx = 0 at ( x = 1, y = 1)
9. Evaluate ((2x-3)/(x*x + x + 1)**2 dx Ans: - 1/(x*x + x + 1) +something.
10. Find the value of f(0) .When f(x) = {1-cosx(1-cosx)}/x**4 is continuous.
11. Find the value of Lt {( e**x dx}/{( e**2x dx }
x®0 [Lower lim=0, Upper lim=x inthe both integral.]

12. Given x = sin( 1t, y = 1/sqrt( 1- t**2) Find (d/dx)(dy/dx) at t = 0.5.
13. A question related with work , heat & internal energy...... Ans: (Q - (W.
14. Direction of motion of an electron placed in an electromagnetic field .....
(a. along electric field b. along magnetic field c. plane of magnetic field and electron. d. .....)
15. One question related with saturation current of triod valve. Ans: increasing
Temperature of cathode.
16. One question relating the frequency of X-ray (about range of frequency)
17. Two atoms having same atomic number and mass number are called -
a. isotope b. isober c. isomer d. isotone.
18. Arrange in the order of acidity of phenol, o-chlorel, nitro benzene.
19. What is the main product of the reaction of toluene & chlorine in the presence of
ferric chloride. ( a. ortho & chloro toluene b. penta toluene c. meta choloro
toluene d. ...... )
20. A water drop having 0.3 micro coulomb charge in the field 50 volts per metre.
What is the force .
21. 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.
22. Two problems on coding and decoding Ans: SOFT- FEAT MOON- 2778
23. From Barrons GRE book edition 1997 page - 377 chap - analytical ability-
The office staff of X,Y,Z .....
( question no 24 to 26) Write according to the given conditions :
a. only A is sufficient, B not necessary.
b. Only B is sufficient, A not necessary.
c. A & B together are sufficient.
d. A alone sufficient, B alone sufficient.
24. Is x> 0 ? A. x**2 + 1 = 0 B. x**3-1 = 0 Ans: b
25. One man is standing near a light post of height 18 ft . What is the length of shadow?
A. height of man is 6 ft. B. he is standing ..... ft away from lamp post. Ans: c.
26. One train S starts from a town P towards Q .Another starts from Q towards P. They meet at R. which train has greater velocity?
A............... B................. Ans: d.
27. Question to find out permitivity.. Ans: 3.3.

1. An electron moving in an electromagnetic field moves in a

(a) In a straight path
(b) Along the same plane in the direction of its propagation
(c) Opposite to the original direction of propagation
(d) In a sine wave

Ans. (b)

2. The total work done on the particle is equal to the change in its kinetic energy

(a) Always
(b) Only if the forces acting on the body are conservative.
(c) Only if the forces acting on the body are gravitational.
(d) Only if the forces acting on the body are elastic.

Ans. (a)

3. The following unit measure energy:

(a) Kilo-watt hour.
(b) Volt*volt/sec*ohm.
(c) Pascal*foot*foot
(d) (Coulomb*coulomb)*farad

Ans. (a)

4. Astronauts in stable orbits around the earth are in a state of weightlessness because

(a) There is no gravitational force acting on them.
(b) The satellite and the air inside it have an acceleration equal to that of gravitational acceleration there.
(c) The gravitational force of the earth and the sun balance giving null resultant.
(d) There is no atmosphere at the height at which the satellites move.

Ans. (b)

5. An organ pipe, open at both ends and another organ pipe closed at one end,
will resonate with each other, if their lengths are in the ratio of

(a) 1:1
(b) 1:4
(c) 2:1
(d) 1:2

Ans. (c)

6. During an isothermal expansion of an ideal gas

(a) Its internal energy increases.
(b) Its internal energy decreases.
(c) Its internal energy does not change.
(d) The work done by the gas is not equal to the quantity of heat absorbed by it.

Ans. (c)

7. A parallel plate capaciator is charged and the charging battery is then disconnected.
If the plates of the capacitor are moved further apart by means of insulating handles

(a) The charge on the capacitor increases.
(b) The voltage across the plates increases.
(c) The capacitance increases.
(d) The electrostatic energy stored in the capacitor decreases.

Ans. (b)

8. Two equal negative charges q are fixed at point (0,a) and (0,-a) on the y-axis.
A positive charge Q is released from rest at the point (2a,0) on the x-axis. The charge Q will

(a) Execute simple harmonic motion about the origin
(b) Move to the origin and remain at rest
(c) Move to infinity
(d) Execute oscillatory but not simple harmonic motion

Ans. (d)

9. A square conducting loop of length Lon a side carries a current I.
The magnetic field at the centre of the loop is

(a) Independant of L
(b) Proportional to L*L
(c) Inversely proportoinal to L
(d) Directly proportional to L

Ans. (c)

10. The focal length of a convex lens when placed in air and then in water will

(a) Increase in water with respect to air
(b) Increase in air with respect to water
(c) Decrease in water with respect to. air
(d) Remain the same

Ans. (a)

11. The maximum kinectic energy of the photoelectron emitted from the surface is dependant on

(a) The intensity of incident radiation
(b) The potential of the collector electrode
(c) The frequency of incident radiation
(d) The angle of incidence of radiation of the surface

Ans. (c)

12. An electron orbiting in a circular orbit around the nucleus of the atom

(a) Has a magnetic dipole moment
(b) Exerts an electric force on the nucleus equal to that on it by the nucleus
(c) Does not produce a magnetic induction at the nucleus
(d) All of the above

Ans. (d)

13. The X-rays beam coming from an X-ray tube will be:

(a) Monochromatic
(b) Having all wavelengths smaller than a certain minimum wavelength
(c) Having all wavelengths larger than a certain minimum wavelength
(d) Having all wavelengths lying between a minimum and a maximum wavelength

Ans. (c)

14. The mass number of a nucleus is

(a) Always less than its atomic number
(b) Always more than its atomic number
(c) Always equal to its atomic number
(d) Sometimes more and sometimes equal to its atomic number

Ans. (d)

15. Two successive elements belonging to the first transition series have the same number
of electrons partially filling orbitals. They are

(a) V and Cr
(b) Ti and V
(c) Mn and Cr
(d) Fe and Co

Ans. (c)

16. When n+l has the same value for two or more orbitals,the new electron enters the orbital where

(a) n is maximum
(b) n is minimum
(c) l is maximum
(d) l is minimum

Ans. (b)

17. A balloon filled with ethylene is pricked with a sharp pointed needle and quickly placed in a tank
full of hydrogen at the same pressure. After a while the balloon would have

(a) Shrunk
(b) Enlarged
(c) Completely collapsed
(d) Remain unchanged in size

Ans. (b)

18. Which of the following statements is not true?

(a) The ratio of the mean speed to the rms speed is independant of temperature
(b) Tthe square of the mean speed of the molecules is equal to the mean squared speed at a certain temperature
(c) Mean kinetic energy of the gas molecules at any given temperature is independant of the mean speed
(d) None

Ans. (b)

19. Which of the following statements represent Raoult's Law

(a) Mole fraction of solvent = ratio of vapour pressure of the solution to vapour pressure of the solvent
(b) Mole fraction of solute = ratio of vapour pressure of the solution to vapour pressure of the solvent
(c) Mole fraction of solute = lowering of vapour pressure of the solution
(d) Mole fraction of solvent = lowering of vapour pressure of the solution

Ans. (a)

20. Elements having the same atomic number and the same atomic mass are known as

(a) Isotopes
(b) Isotones
(c) Isomers
(d) None of the above

21.Which is the most acidic amongst

(a) Nitrophenol
(b) O-toulene
(c) Phenol
(d) Cresol

22. Pure water does not conduct electricity because it is

(a) Almost not ionised
(b) Low boiling
(c) Neutral
(d) Readily decomposed

Ans. (a)

23. In a salt bridge, KCl is used because

(a) It is an electrolyte
(b) The transference number of K+ and Cl¯ is nearly the same
(c) It is a good conductor of electricity
(d) All of the above

Ans. (d)

24. A depolarizer used in the dry cell batteries is

(a) KCl
(b) MnO2
(c) KOH
(d) None of the above

Ans. (b)

25. The hydrolysis of alkyl halides by aqueous NaOH is best termed as

(a) Electrophylic substitution reaction
(b) Electrophylic addition reaction
(c) Nnucleophylic addition reaction
(d) Nucleophylic substitution reaction

Ans. (d)

26. The hydrocarbon that gives a red precipitate with ammoniacal cuprous chloride is (where 'º' means a triple bond)

(a) CH3-CH2-CH2-CH3
(b) CH3-CºC-CH3
(c) CH2=CH-CH=CH2
(d) CH3-CH2-CºCH

Ans. (d)

27. Which of the following reagents is neither neutral nor basic

(a) Lucas' reagent
(b) Tollen's reagent
(c) Bayer's reagent
(d) Fehling's solution

Ans. (a)

28. The substance which is most easily nitrated

(a) Toluene
(b) Bbenzene
(c) Nitrobenzene
(d) Chlorobenzene

Ans. (a)

29. Carbylamine reaction is a test for

(a) Primary amine
(b) Secondary amine
(c) Tertiary amine
(d) Quarternary ammonium salt

Ans. (a)

30. Which of the following oxides cannot be reduced by carbon to obtain metal

(a) ZnO
(b) Al2O3
(c) Fe2O3
(d) PbO

Ans. (b)

31. Which of the following is not an oxide ore?

(a) Cassiterite
(b) Siderite
(c) Pyrolusite
(d) Bauxite

Ans. (b)

32. Which among the following is called philosopher's wool

(a) Cellulose
(b) Calamine
(c) Stellite
(d) Cerussite

Ans. (c)

33. Out of 10 white, 9 black and 7 red balls, in how many ways can we select one or more balls

(a) 234
(b) 52
(c) 630
(d) 879

Ans. (d)

34. A and B throw a dice. The probabilty that A's throw is not greater than B's is

(a) 5/12
(b) 7/12
(c) 11/12
(d) 5/36

Ans. (b)

35. Given two numbers a and b. Let A denote the single AM between these and S denote the sum of n AMs
between them. Then S/A depends upon

(a) n
(b) n,a
(c) n,b
(d) n,a,b

Ans. (a)

36. If the sum of the roots of the equation ax²+bx+c=0 is equal to the sum of the squares of their reciprocals,
then, a/c, b/a, c/b are in

(a) AP
(b) GP
(c) HP
(d) None of the these

Ans. (c)

In the following questions ~ represents the integral sign-for eg. 1~2[f(x)] means integration of
the function f(x) over the interval 1 to2.

37. Value of -1~2[|2-x²|]dx, ie integration of the function |2-x²| over the interval -1 to 2.

(a) 0
(b) 1
(c) 2
(d) None of the above

Ans. (d)

38. If 0~P[log sinx]dx=k,then the value of 0~P/4[log(1 + tan x)]dx ,where P stands for pi,is

(a) -k/4
(b) k/4
(c) -k/8
(d) k/8

Ans. (c)

39. If a,b,c be in GP and p,q be respectively AM between a,b and b,c then

(a) 2/b=1/p+1/q
(b) 2/b=1/p-1/q
(c) 2=a/p-c/q
(d) None of the above

Ans. (a)

40. A solution of KMnO4 is reduced to MnO2 .The normality of solution is 0.6.The molarity is

(a) 1.8M
(b) 0.6M
(c) 0.1M
(d) 0.2M

Ans. (d)

The questions 41-46 are based on the following pattern.The problems below contain a question
and two statements giving certain data. You have to decide whether the data given in the
statements are sufficient for answering the questions.The correct answer is

(A) If statement (I) alone is sufficient but statement (II) alone is not sufficient.
(B) If statement(II) alone is sufficient but statement(I) alone is not sufficient.
(C) If both statements together are sufficient but neither of statements alone is sufficient.
(D) If both together are not sufficient.

41. What is John's age?

(I) In 15 years John will be twice as old as Dias would be
(II) Dias was born 5 years ago

Ans. (C)

42. What is the distance from city A to city C in kms?

(I) City A is 90 kms from City B
(II) City B is 30 kms from City C

Ans. (D)

43.Is A=C ? A,B,C are real numbers

(I) A-B=B-C
(II) A-2C = C-2B

Ans. (C)

44. What is the 30th term of a given sequence ?

(I) The first two terms of the sequence are 1,1/2
(II) The common difference is -1/2

Ans. (A)

45.Was Avinash early, on time or late for work?

(I) He thought his watch was 10 minutes fast
(II) Actually his watch was 5 minutes slow

Ans. (D)

46. What is the value of A if A is an integer?

(I) A4 = 1
(II) A3 + 1 = 0

Ans. (B)

47. A person travels 12 km in the southward direction and then travels 5km to the right and then travels 15km toward the right and finally travels 5km towards the east, how far is he from his starting place?

(a) 5.5 kms
(b) 3 km
(c) 13 km
(d) 6.4 km

Ans. (b)

48. X's father's wife's father's granddaughter uncle will be related to X as

(a) Son
(b) Nephew
(c) Uncle
(d) Grandfather

Ans. (c)

49. Find the next number in the series 1, 3 ,7 ,13 ,21 ,31

(a) 43
(b) 33
(c) 41
(d) 45

Ans. (a)

50. If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678.
Then the code for the word "MANGO" would be

(a) 82357
(b) 89343
(c) 84629
(d) 82347

Ans. (d)

51. If "PROMPT" is coded as QSPLOS ,then "PLAYER" should be


Ans. (a)

The questions 52-53 are based on the following data

6 people A,B,C,D,E and F sit around a table for dinner.Since A does not like C, he doesn't sit either opposite or beside C.B and F always like to sit opposite each other.

52. If A is beside F then who is are the two neighbours of B?

(a) D and C
(b) E and C
(c) D and E
(d) Either (a) or (b)

Ans. (c)

53. If D is adjacent to F then who is adjacent to C?

(a) E and B
(b) D and A
(c) D and B
(d) either (a) or (c)


54. Complete the sequence A, E ,I ,M ,Q ,U , _ , _

(a) B, F
(b) Y, C
(c) G, I
(d) K, O


55. A person travels 6km towards west, then travels 5km towards north ,then finally travels
6km towards west. Where is he with respect to his starting position?

(a) 13km east
(b) 13km northeast
(c) 13km northwest
(d) 13km west

Ans. (c)

56. If A speaks the truth 80% of the times, B speaks the truth 60% of the times.
What is the probability that they tell the truth at the same time

(a) 0.8
(b) 0.48
(c) 0.6
(d) 0.14


57. If the time quantum is too large, Round Robin scheduling degenerates to

(a) Shortest Job First Scheduling
(b) Multilevel Queue Scheduling
(c) FCFS
(d) None of the above

Ans. (c)

58. Transponders are used for which of the following purposes

(a) Uplinking
(b) Downlinking
(c) Both (a) and (b)
(d) None of the above

Ans. (c)

59. The format specifier "-%d" is used for which purpose in C

(a) Left justifying a string
(b) Right justifying a string
(c) Removing a string from the console
(d) Used for the scope specification of a char[] variable

Ans. (a)

60. Virtual functions allow you to

(a) Create an array of type pointer-to-base-class that can hold pointers to derived classes
(b) Create functions that have no body
(c) Group objects of different classes so they can all be accessed by the same function code
(d) Use the same function call to execute member functions to objects from different classes

62. A sorting algorithm which can prove to be a best time algorithm in one case
and a worst time algorithm in worst case is

(a) Quick Sort
(b) Heap Sort
(c) Merge Sort
(d) Insert Sort

Ans. (a)

63. What details should never be found in the top level of a top-down design?

(a) Details
(b) Coding
(c) Decisions
(d) None of the above

Ans. (c)

64. In an absolute loading scheme, which loader function is accomplished by assembler

(a) Reallocation
(b) Allocation
(c) Linking
(d) Both (a) and (b)

Ans. (d)

65. Banker's algorithm for resource allocation deals with

(a) Deadlock prevention
(b) Deadlock avoidance
(c) Deadlock recovery
(d) None of these

Ans. (b)

66. Thrashing can be avoided if

(a) The pages, belonging to the working set of the programs, are in main memory
(b) The speed of CPU is increased
(c) The speed of I/O processor are increased
(d) All of the above

Ans. (a)

67. Which of the following communications lines is best suited to interactive processing applications?

(a) Narrowband channels
(b) Simplex channels
(c) Full-duplex channels
(d) Mixedband channels

Ans. (b)

68. A feasibility document should contain all of the following except

(a) Project name
(b) Problem descriptions
(c) Feasible alternative
(d) Data flow diagrams

Ans. (d)

69. What is the main function of a data link content monitor?

(a) To detect problems in protocols
(b) To determine the type of transmission used in a data link
(c) To determine the type of switching used in a data link
(d) To determine the flow of data

Ans. (a)

70. Which of the following is a broadband communications channel?

(a) Coaxial cable
(b) Fiber optic cable
(c) Microwave circuits
(d) All of the above

Ans. (d)

71. Which of the following memories has the shortest access time?

(a) Cache memory
(b) Magnetic bubble memory
(c) Magnetic core memory
(d) RAM

Ans. (a)

72. A shift register can be used for

(a) Parallel to serial conversion
(b) Serial to parallel conversion
(c) Digital delay line
(d) All the above

Ans. (d)

73. In which of the following page replacement policies, Balady's anomaly occurs?

(a) FIFO
(b) LRU
(c) LFU
(d) NRU

Ans. (a)

74. Subschema can be used to

(a) Create very different, personalised views of the same data
(b) Present information in different formats
(c) Hide sensitive information by omitting fields from the sub-schema's description
(d) All of the above

Ans. (d)

75. Question on l-values in automata

1.When a bicycle is in motion,the force of friction exerted by the ground on the two wheels is such that it acts

(a) In the backward direction on the front wheel and in the forward direction on the rear wheel.
(b) In the forward direction on the front wheel and in the backward direction on the rear wheel.
(c) In the backward direction on both the front and rear wheels.
(d) In the backward direction on both the front and rear wheels.

Ans. (d)

2. A certain radioactive element A, has a half life = t seconds.
In (t/2) seconds the fraction of the initial quantity of the element so far decayed is nearly

(a) 29%
(b) 15%
(c) 10%
(d) 45%

Ans. (a)

3. Which of the following plots would be a straight line ?

(a) Logarithm of decay rate against logarithm of time
(b) Logarithm of decay rate against logarithm of number of decaying nuclei
(c) Decay rate against time
(d) Number of decaying nuclei against time

Ans. (b)

4. A radioactive element x has an atomic number of 100.
It decays directly into an element y which decays directly into element z.
In both processes a charged particle is emitted.
Which of the following statements would be true?

(a) y has an atomic number of 102
(b) y has an atomic number of 101
(c) z has an atomic number of 100
(d) z has an atomic number of 101

Ans. (b)

5. If the sum of the roots of the equation ax2 + bx + c=0 is equal to the sum of the squares of their reciprocals
then a/c, b/a, c/b are in

(a) AP
(b) GP
(c) HP
(d) None of these

Ans. (c)

6. A man speaks the truth 3 out of 4 times.
He throws a die and reports it to be a 6.
What is the probability of it being a 6?

(a) 3/8
(b) 5/8
(c) 3/4
(d) None of the above

Ans. (a)

7. If cos2A + cos2B + cos2C = 1 then ABC is a

(a) Right angle triangle
(b) Equilateral triangle
(c) All the angles are acute
(d) None of these

Ans. (a)

8. Image of point (3,8) in the line x + 3y = 7 is

(a) (-1,-4)
(b) (-1,4)
(c) (2,-4)
(d) (-2,-4)

Ans. (a)

9. The mass number of a nucleus is

(a) Always less than its atomic number
(b) Always more than its atomic number
(c) Sometimes more than and sometimes equal to its atomic number
(d) None of the above

Ans. (c)

10. The maximum KE of the photoelectron emitted from a surface is dependent on

(a) The intensity of incident radiation
(b) The potential of the collector electrode
(c) The frequency of incident radiation
(d) The angle of incidence of radiation of the surface

Ans. (c)

11. Which of the following is not an essential condition for interference

(a) The two interfering waves must be propagated in almost the same direction or
the two interfering waves must intersect at a very small angle
(b) The waves must have the same time period and wavelength
(c) Amplitude of the two waves should be the same
(d) The interfering beams of light must originate from the same source

Ans. (c)

12. When X-Ray photons collide with electrons

(a) They slow down
(b) Their mass increases
(c) Their wave length increases
(d) Their energy decreases

Ans. (c)

13. An electron emits energy

(a) Because its in orbit
(b) When it jumps from one energy level to another
(c) Electrons are attracted towards the nucleus
(d) The electrostatic force is insufficient to hold the electrons in orbits

Ans. (b)

14. How many bonds are present in CO2 molecule?

(a) 1
(b) 2
(c) 0
(d) 4

Ans. (d)

15. In a balanced chemical equation

(a) Atoms are conserved
(b) Molecules are conserved
(c) Moles are conserved
(d) Reactant and product molecules are preserved

Ans. (a)

16. How many grams of NaOH will react with 0.2 equivalent of HCl?

(a) 0.59
(b) 0.285
(c) 1.18
(d) none of these

Ans. (a)

17. Which of the following is least acidic

(a) Ortho-cresol
(b) Para-cresol
(c) Phenol
(d) Meta-cresol

Ans. (b)

18. In Reimer-Tiemann's reaction, the reaction intermediate is

(a) Carbene
(b) Dichloro carbene
(c) Carbonion
(d) Carbonium ion

Ans. (b)

19. Which of the following is most acidic?

(a) C2H5OH
(c) Ethanol
(d) CH3OH

Ans. (b)

20.A catalyst

(a)always slows down the reaction
(b)always starts a rection that would not have ocurred at all otherwise
(c)causes changes in the rate of the reaction
(d)changes the quantities of the products formed

Ans. (c)

21.The rate of the first order reaction depends on the

(a) Concentration of the reactant
(b) Concentration of the product
(c) Time
(d) Temperature

Ans. (d)

22. The most abundant element in the universe is

(a) Hydrogen
(b) Helium
(c) Oxygen
(d) Silicon

Ans. (a)

23. Integrate 3x + 5 / (x3-x2-x+1)

(a) 1/2 log | (x+1)/(x-1) | - 4/(x-1)
(b) log |2+tanx|
(c) -(1+logx)/x
(d) 2 log|(tanx)/(tanx+2)

Ans. A

24. If y=cos-1(cosx + 4sinx)/(17)1/2, then dy/dx is

(a) 0
(b) 1
(d) none of these

Ans. (b)

25. If the sum of n terms of two series of A.P are in the ratio 5n+4:9n+6 .find the ratio of their 13th terms

(a) 129/231
(b) 1/2
(c) 23/15
(d) None of the above

Ans. (a)

26. If the letters of the word "rachit" are arranged in all possible ways and these words are written
out as in a dictionary, what is the rank of the word "rachit".

(a) 485
(b) 480
(c) 478
(d) 481

Ans. (d)

27. Ravi's salary was reduced by 25%.Percentage increase to be effected to bring the salary
to the original level is

(a) 20%
(b) 25%
(c) 33 1/3%
(d) 30%

Ans. (c)

28. A and B can finish a piece of work in 20 days .B and C in 30 days and C and A in 40 days.
In how many days will A alone finish the job

(a) 48
(b) 34 2/7
(c) 44
(d) 45

Ans. (a)

29. How long will a train 100m long travelling at 72kmph take to overtake another train
200m long travelling at 54kmph

(a) 70sec
(b) 1min
(c) 1 min 15 sec
(d) 55 sec

Ans. (b)

30. What is the product of the irrational roots of the equation (2x-1)(2x-3)(2x-5)(2x-7)=9?

(a) 3/2
(b) 4
(c) 3
(d) 3/4

Ans. (a)

31. Which of the following parameters is the same for molecules of all gases at a given temperature?

(a) Mass
(b) Momentum
(c) Speed
(d) Kinetic energy

Ans. (d)

32. A solid is completely immersed in liquid. The force exerted by the liquid on the solid will

(a) Increase if it is pushed deeper inside the liquid
(b) Change if its orientation is changed
(c) Decrease if it is taken partially out of the liquid
(d) None of the above

Ans. (c)

33. Select the correct statements

(a) A simple harmonic motion is necessarily periodic
(b) An oscillatory motion is necessarily periodic
(c) A periodic motion is necessarily oscillatory
(d) All of the above

Ans. (a)

34. An elecrton is injected into a region of uniform magnetic flux density with the components
of velocity parallel to and normal to the flux.What is the path of the electron?

(a) Helix
(b) Parabola
(c) Circle
(d) Rectangle

Ans. (a)

35. A constant voltage is applied between the 2 ends of a uniform metallic wire.
Some heat is developed in it. The heat developed is doubled if

(a) both the length and radius of the wire are halved.
(b) both the length and radius of the wire are doubled
(c) the radius of the wire is doubled
(d) the length of the wire is doubled

Ans. (b)

36. If Young's double slit experiment is performed in water

(a) the fringe width will decrease
(b) the fringe width will increase
(c) the fringe width remains unchanged
(d) there will be no fringe

Ans. (a)

37. The shape of a spot of light produced when bright sunshine passes perpendicular
through a hole of very small size is

(a) Square, because the hole is a square
(b) Round, because it is an image of the sun
(c) Round with a small penumbra around it
(d) Square with a small penumbra

Ans. (b)

Select the alternative that logically follows from the two given statements.


Some forms are books
All books are made of paper
(a) Some forms are made of paper
(b) Some forms are not made of paper
(c) No forms are made of paper
(d) None of the above

Ans. (a)


All toffees are chocolates
Some toffees are not good for health
(a) Some chocolates are not good for health
(b) Some toffees are good for health
(c) No toffees are good for health
(d) Both (a) and (b)

Ans. (a)

The questions 40-46 are based on the following pattern.The problems below contain a question and two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the questions.The correct answer is

(A) If statement (I) alone is sufficient but statement (II) alone is not sufficient.
(B) If statement(II) alone is sufficient but statement(I) alone is not sufficient.
(C) If both statements together are sufficient but neither of statements alone is sufficient.
(D) If both together are not sufficient.
(E) If statements (I) and (II) are not sufficient

40. What is the volume of a cubical box in cubic centimetres?

(I) One face of the box has an area of 49 sq.cms.
(II) The longest diagonal of the box is 20 cms.

Ans. D

41. Is z positive?

(I) y+z is positive
(II) y-z is positive

Ans. E

42. Is x>y ? x, y are real numbers?

(I) 8x = 6y
(II) x = y + 4

Ans. B

43. If a ground is rectangular, what is its width?

(I) The ratio of its length to its breadth is 7:2
(II) Perimeter of the playground is 396 mts.

Ans. C

44. If the present age of my father is 39 yrs and my present age is x yrs, what is x?

(I) Next year my mother will be four times as old as i would be.
(II) My brother is 2 years older than I and my father is 4 years older than my mother.

Ans. C

45. How many brothers and sisters are there in the family of seven children?

(I) Each boy in the family has as many sisters as brothers
(II) Each of the girl in the family has twice as many brothers as sisters

Ans. D

46. x is not equal to 0, is x + y = 0?

(I) x is the reciprocal of y
(II) x is not equal to 1

Ans. A

Following questions are based on letter's analogy.First pair of letters should have the same relationship as the second pair of letters or vice versa.

47. ? : BGLQ : : YDIN : VAFK

(a) EKNS
(b) DKMT
(c) DLMS
(d) EJOT

Ans. (d)

48. NLO : RPS : : ? : ZXA

(a) VUW
(b) VTR
(c) VTW
(d) TRP

Ans. (c)

49. If "segment" is coded as rffndou, then "ritual" is coded as

(a) shutbm
(b) qjutbk
(c) qhutbk
(d) qhubtk

Ans. (c)

50. If "football" is "cricket" ,"cricket" is "basketball" ,"basketball" is "volleyball","volleyball" is "khokho" and "khokho" is cricket, which is not a ball game?

(a) cricket
(b) football
(c) khokho
(d) basketball

Ans. (a)

51. Which of the following is a recursive set of production

(a) S --> a|A, A --> S
(b) S --> a|A, A --> b
(c) S -->aA, A-->S
(d) None of these

Ans. (c)