Andhra Pradesh AP Police Constable Exam Paper – 6 January 2019 (Answer Key)

41. There are some benches in a classroom. If 4 students sit on each bench, then 4 benches are left unoccupied. However, if 3 students sit on each bench, then 3 students are left standing
Then the sum of the number of benches and number of students in that class room is
(1) 84
(2) 79
(3) 65
(4) 72

42. A printer alloted consecutive integers to all the pages of a book starting with 1. In this
process, the digits from 0 to 9 are used 4893 times. Then the total number of pages in that book is
(1) 1281
(2) 1224
(3) 1500
(4) 1612

43. While travelling from Hyderabad to Bangalore by a car, the driver covers ¼ of the distance
at 60 kmph, ⅓ of the distance at 80 kmph, ⅙ of the distance at 100 kmph and the remaining
distance at 50 kmph. Then his average speed for the whole journey, in kilometers per hour, is (1) 72 1/2
(2) 70 5/6
(3) 68 1/6
(4) 66 2/3

44. A person travels on his car drom a place A to a place B with an average speed of 60kmph and he is late by 30 minutes than the time he usually takes. During hus return hourney, with an average speed of 80kmph, he reached his destination 5 minutes earlier. Then the distance (in km) between A and B is
(1) 160
(2) 150
(3) 140
(4) 120

45. A person covers a certain distance at a speed of 15kruph in 10 minutes. If he wants to cover
the same distance in 6 minutes, then his speed (in kmph) is
(1) 20
(2) 25
(3) 30
(4) 24

46. A car covers a distance of 720 km in 10 hours. The speed of a train is double the speed of
the car and the speed of a bike is 4/9 of the speed of the train. Then the distance (in km)
covered by the bike in 4 hours is
(1) 256
(2) 128
(3) 512
(4) 132

Directions for the questions from 47 to 49: Each of these questions has a statement followed by two conclusions I and II. You have to decide which of the conclusions follows from the given
statement and mark your answer as
(1) if conclusion I only follows;

(2) if conclusion II only follows;
(3) if neither conclusion I nor II follows;
(4) if both conclusions I and II follow

47. Statement: Mr. A is not among the candidates shortlisted for the post of vice-chancellor of a university
Conclusions:
I) I Mr. A will be selected as Vice-chancellor.
II) Mr. A will not be considered for the post of Vice-chancellor.

48. Statement: This is the only book which focuses on the problem of Indian Economy during 2000 and 2010A.D
Conclusions:
I). There was no book on Indian Economy before 2000A.D
II). No other book deals with Indian Economy between 2000 and 2010A.D

49. Statement: Only good speakers are owledge can be a good speaker No one without good knowledge can be a good speaker
Conclusions:
I) All invited speakers for the conference have god knowledge in their topics
II) Those speakers who do not have good knowledge are not invited for the conference.

50. A right circular solid cylinder has radius 7cm and height 24cm. A conical cavity of same dimensions is carved out of the cylinder. Then the sum of the areas, in square centimeters,
of the inner and the outer surfaces of the remaining solid is
(1) 1056
(2) 1606
(3) 1760
(4) 1814

51. The radius, in centimeters, of the greatest sphere that can be carved out of a solid cone of radius 9 cm and height 40 cm, is
(1) 8.6
(2) 7.2
(3) 6.9
(4) 7.6

52. The frustum of a right circular cone has height 12cm, radius of the base 8cm and the radius
of the top 3cm. Then the ratio of the volume of the frustum to its total surface area is
(1) 97:54
(2) 2:1
(3) 82:53
(4) 3:2

53. Three cubes of metal whose edges are 3cm, 4cm and 5cm are melted to form a bigger
cube. If there is no loss of metal in this process, then the diagonal of the bigger cube, in centimeters, is
(1) 3√3
(2) 4√3
(3) 8√3
(4) 6√3

54. When each edge of a cube of cube is increased by 10%, then the increase in the total surface area of cube is
(1) 44%
(2) 21%
(3) 20%
(4) 40%

55. A vendor has fixed the rate of a vegetable at Rs.40 per kg. But he could not find buyers at this rate. So he reduced its price to Rs.35 per kg using a faulty weight of 910 gm fo 1kg. Then the actual change in the price is
(1) 4 11/13 %decrease
(2) 4 11/13 % increase
(3) 3 11/13 %decrease
(4) 3 11/13 % increase

56. An article when sold for Rs.1770 fetches 18% profit. If 18 such articles are sold for Rs.1600 each, then the profit or loss is
(1) 6 2/3% profit
(2) 8 1/3% profit
(3) 6 2/3% loss
(4) 8 1/3% loss

57. A shopkeeper purchased a chair marked.at Rs.750 at two successive discounts of 20% and Rs. 10% respectively. If he spent Rs.60 on transportation and sold the chair for Rs.700, then
his gain percentage is
(1) 25
(2) 15 ⅓
(3) 20
(4) 16 ⅔

58. A sumn of money at simple interest amounts to Rs. 24,000.in 4 years. If the rate of interest is increased by 20%, the same sum amounts to Rs. 25,800 in the same time. The original rate of interest is
(1) 18%
(2) 10%
(3) 15%
(4) 20%

59. The interest earned by A on a certain amount compounded at the rate of 10% per annum the end of two years is Rs. 4,410. Then the total amount that A would have got at the end of
first year, in rupees, is
(1) 25,410
(2) 23,100
(3) 21,000
(4) 24,410

60. The interest on a sum at a certain rate of interest compounded yearly for two years is Rs. 5,500. If the simple interest on the same sum, at the same rate of interest for 4 years is Rs. 10,000 then the rate of interest is
(1) 20%
(2) 25%
(3) 10%

(4) 15%

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