# UP Police Constable exam paper 25 October 2018 (Answer key)

41. What would be the interest accrued in two years if ₹600 is invested @ 10% interest compounded annually?
(A) ₹121
(B) ₹123
(C) ₹124
(D) ₹126

42. Abhay and Shreya can individually complete a piece of work in 42 mins and 70 mins respectively. Starting with Abhay, they work alternately for a minute each till the work is completed, with only the one working at the end being allowed to work for less than a minute in the final turn. How long will it take the duo to complete the work?
(A) 52 mins 24 secs
(B) 52 mins 30 secs
(C) 52 mins 36 secs
(D) 52 mins 40 secs

43. Raksha can complete a piece of work in 12 days while Esther takes 20 days to complete the work. They start working together but Raksha leaves 4 days before the work gets over. For how many days does Esther work?
(A) 6
(B) 8
(C) 10
(D) 12

44. A ship develops a leak 20 km from the shore. Despite the leak, the ship is able to move towards the shore at a speed of 12 km/hr. However, the ship can stay afloat only for 23 minutes. If a rescue vessel were to leave from the shore towards the ship and it takes 8 minutes to evacuate the crew and passengers of the ship, what should be the minimum speed of the rescue vessel in order to be able to successfully rescue the people aboard the ship?
(A) 65 km/hr
(B) 67 km/hr
(C) 68 km/hr
(D) 70 km/hr

45. Paulson usually leaves his home everyday at 8:15 am and travels at a certain speed to reach office on time. One day he travelled at 3/5 of the usual speed and hence arrived 45 minutes late. How much time does Paulson usually take to reach his office?
(A) 1 1/2 hours
(B) 1 1/3 hours
(C) 1 1/4 hours
(D) 1 1/8 hours

46. Simplify:
48 + [25 – {20 – (11 – 16 2 x 4)}] = ?
(A) 40
(B) 32
(C) 62
(D) 58

47. Simplify:
256 + 25.6 + 2.56 + 0.256 + 0.0256 = ?
(A) 284.6536
(B) 284.4666
(C) 284.4766
(D) 284.4416

48. Which of the fractions given below is not equal to 13/19?
(A) 39/57
(B) 91/133
(C) 195/247
(D) 208/304

49. The LCM of 47, 141 and 188 is :
(A) 564
(B) 282
(C) 376
(D) 424

50. 840/x and 960/x are both positive integers, and so is x. What is the largest possible value of x?
(A) 140
(B) 210
(C) 120
(D) 240

51. Which of the numbers given below is exactly divisible by 12?
(A) 14744
(B) 28856
(C) 43976
(D) 57228

52. If a rope 154 m long is divided in the ratio 9:5, then the length of the shorter piece (in m) is: (A) 60
(B) 55
(C) 52.5
(D) 50

53. 78% of 450 is:
(A) 351
(B) 312
(C) 296
(D) 303

54. ₹x invested at 9% simple interest per annum for 7 years yields the same interest as that on ₹y invested at 5.25% simple interest per annum for 16 years. Find x:y.
(A) 10:9
(B) 12:7
(C) 4:3
(D) 16:7

55. By selling an item for ₹198, Souvik made a loss of 12%. By how much should he have raised the price to make a profit of 8%?
(A) ₹25
(B) ₹55
(C) ₹44
(D) ₹45

56. The discounted price of a toy was ₹1470. If the discount offered was 16%, what was the marked price of the toy?
(A) ₹1800
(B) ₹1750
(C) ₹1720
(D) ₹1680

57. Rishika and Akash invested some money each in a partnership. Rishika had invested ₹1875 and took home ₹225 as his share from the profit made. If Akash took home 288 as his share of the profit made, then how much had Akash invested?
(A) ₹2475
(B) ₹2500
(C) ₹2400
(D) ₹2250

58. Select the option that is related to the third term in the same way as the second term is related to first term,
Bees : Swarm :: Riders : ?
(A) Drivers
(C) Man
(D) Fast

59. Calf is related to Cow in the same way as Larva is related to:
(A) Snake
(B) Mosquito
(C) Fish
(D) Insect

60. Select the option that is related to the third term in the same way as the second term is related to first term.
Bangladesh : Dhaka :: Italy : ?
(A) Rome
(B) London
(C) Tokyo
(D) Havana