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
(c)-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 traveling at 72kmph take to overtake another train 200m long traveling 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 electron 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.
38.
- 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)
39.
- 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 identical.
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) | 
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