UKPSC Preliminary Exam Paper II (General Aptitude Test) 03 April 2022 (Official Answer Key)

41. A cube of edge 6 cm is painted on all faces of it. It is then cut into cubes of edge 1 cm. How many cubes have no face painted ?
(a) 8
(b) 64
(c) 16
(d) 24

42. A statement is given followed by two conclusions I & II. Decide which of the given conclusions follows logically from the given statement :
Statement : Fortune favours the brave.
Conclusions :
I : Risks are necessary for success.
II : Cowards die many times before their death.
(a) Only I
(b) Only II
(c) Both I and II
(d) Neither I nor II

43. If the budget of a country is presented as follows :

Then the angle for income tax on a pie-chart is :
(a) 118.8°
(b) 120°
(c) 117.6°
(d) 126°

44. Find the missing term in the following series :
1, 1, 3,9,6, 36, 10, 100, __, 225
(a) 15
(b) 16
(c) 20
(d) 25

45. For the shaded region, given below,

Which of the following is correct ?
(a) x ≥ 0, y ≤ x
(b) x = 0, y ≥ x
(c) x ≥ 0, y ≥ x
(d) x > 0, y > x

46. Which of the following represents the sequence in which the following words occur in the English dictionary?
(i) Telegraph (ii) Telephone (iii) Teleprinter (iv) Telemark (v) Telepathy
(a) (i), (ii), (iii), (iv), (v)
(b) (v), (iv), (iii), (ii), (i)
(c) (i), (iv), (v), (ii), (iii)
(d) (ii), (iii), (iv), (v), (i)

47. Two numbers B and C are respectively, 15% and 32% less than a third number A. By what percentage is the number C less than the number B?
(a) 23.5%
(b) 22%
(c) 20%
(d) 18%

48. Four of the following five numbers are alike in a certain way and so form a group. Which one does not belong to that group ?
22, 26, 34, 46, 72
(a) 22
(b) 34
(c) 72
(d) None of these

49. JN is related to which of the following in the same way as AE is related to DH ?
(a) GK
(b) PR
(c) OU
(d) MQ

50. The value of ((0.000064)^½)^⅓ is :
(a) 0.02
(b) 0.2
(c) 0.002
(d) None of these

51. The volume of a cube is V. The total length of its edges is :
(a) 8√V
(b) 12√V
(c) 8V^⅓
(d) 12V^⅓

52. If (x + y + 2p + 3q) (x – y – 2p + 34) = (x – y + 2p – 39) (x + y – 2p – 39), then = ?
(a) p/q
(b) q/p
(c) 2p/3q
(d) 3p/2q

53. In the figure,

the shaded region represents :
(a) A ∪ B ∪ C
(b) A ∪ (B ∩ C)
(c) A ∩ (B ∩ C)
(d) A ∩ (B ∪ C)

54. Two trains, 130 m and 110 m long are going in the same direction. Faster train takes 1 minute to pass the other completely. If they move in opposite direction, they pass each other in 3 seconds. Difference in the speeds of the trains is :
(a) 4 m/sec
(b) 3 m/sec
(c) 2 m/sec
(d) 1 m/sec

55. At the rate of 10% compound interest per annum, in how many years, ₹1,000 will become ₹1,331 ?
(a) 2
(b) 2.5
(c) 3
(d) 3.5

56. If 9^x = 9/3^x, then the value of x is :
(a) ⅔
(b) 3/2
(c) 1
(d) 0

57. Rohit can complete a work in t hours. Due to some reason, he stopped working after 1% hours. Unfinished part of the work is :
(a) 2t/3
(b) (2t – 3)/t
(c) (t – 3)/2t
(d) (2t – 3)/2t

58. Find the missing terms : A, Z, X, B, V, T, C, R, __, __
(a) P,D
(b) E,O
(c) Q,E
(d) O, Q

59. If ‘Q’ means ‘+’, ‘J’ means ‘x’, ‘T’ means ‘-’, and ‘K’ means ‘-’, then the value of 30 K 2 Q 3 J 6 T 5 is :
(a) 18
(b) 28
(2) 31
(d) 103

60. If p is a number such that 0<p< 1, then which of the following is true ?
(a) p < 1/p
(b) p > p
(c) p > √p
(d) p > 1/p