UP Police Constable exam paper 27 January 2019 (Answer key) – Evening Shift

Q41 The simple interest is ₹1 less than the compound interest on a certain principal for a period of 2 years at 10% interest. Find the principal.
(A) ₹100
(B) ₹110
(C) ₹195
(D) ₹90

Q42 Find the difference between the compound and simple interest on a principal of ₹2,000 for 3 years at an annual interest rate of 10%.
(A) 60
(B) 362
(C) 764
(D) 66

Q43 Three partners, X, Y and Z, shared profits. If the total profit was ₹3,000, X’s share being ₹400 less than Z’s and Y’s share being ₹200 less than Z’s, find the profit sharing ratio of X:Y:Z. (A) 2:3:4
(B) 3:4:5
(C) 4:5:6
(D) 5:6:7

Q44 A family consists of two parents and three children. If the average age of the parents is 36 years and that of the children is 10 years. Find the average age (in years) of the family.
(A) 20
(B) 20.4
(C) 20.8
(D) 21

Q45 18 articles were sold at an average price of ₹15. The cost price of 12 articles was
₹16 cach. Find the cost price of each of the remaining 6 articles if there was no profit/loss in the transaction.
(A) ₹12
(B) ₹12.5
(C) ₹313
(D) ₹13.5

Q46 A can complete a task in 8 days while B can complete it in 12 days. In how many days can C complete the task if all 3 of them together can complete it in 3 days?
(A) S
(B) 10
(C) 12
(D) 14

Q47 A man on a tour travels the first 120 km at 60 km/h and the next 120 km at 80 km/ h. What is the average speed of the journey?
(A) 70 km/h
(B) 68.57 km/h
(C) 71.11 km/h
(D) 69.23 km/h

Q48 The ratio of speeds of two cars of 10:11. If the first car travels a distance of 500 kms in 10 hours, what is the speed of the second car?
(A) 44 km/h
(B) 55 km/h
(C) 66 km/h
(D) 77 km/h

Q49 A sphere of radius 9 cm is moulded to form a cylinder of radius 3 cm. Find the height of the cylinder.
(A) 54 cm
(B) 108 cm
(C) 162 cm
(D) 216 cm

Q50 Find the product of the sum of digits of the smallest 4-digit number divisible by 6
and the sum of digits of the smallests 5-digit number divisible by 11.
(A) 4
(B) 5
(C) 6
(D) 7

Q51 Find the difference between the largest 5- digit number and the smallest 4-digit number.
(A) 99,899
(B) 99,989
(C) 98,999
(D) 89,999

Q52 Free notebooks were distributed equally among the children of a class. The number of notebooks each child got was 1/8th of the number of children. Had the number of children been hall, cach child would have got 16 notebooks. How many notebooks were distributed in total?
(A) 62
(B) 126
(C) 254
(D) 512

Q53 X gets on an elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time. Y gets on an elevator at the 5 1st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?
(A) 29
(B) 30
(C) 31
(D) 32

Q54 X has a balance of ₹100.82 in the bank account. How many chocolates of ₹5 each can he buy with his bank blance after a deposit of ₹74.35 and a withdrawal of ₹50.17?
(A) 23
(B) 24
(C) 25
(D) 26

Q55 What is the least number which when divided by 12, 20 and 24 leaves in each case a remainder of 8?
(A) 118
(B) 128
(C) 168
(D) 208

Q56 if (2x + 3): (5x + 4) is the triplicate ratio of 3:4, find the square of x.
(A) 100
(B) 121
(C) 144
(D) 169

Q57 A student scores 85% in an examination. The scores were 79, 81, 88 and 94 in 4 subjects. Find the student’s score in the 5th subject.
(A) 83
(B) 84
(C) 85
(D) 86

Q58 Given below is a statement, followed by two conclusions, I and II. You have to consider the statement to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow(s) from the given statements.
Statement 1: Quality has a price tag. India is allocating lots of funds to education.

Conclusion I: Quality of education in India would improve soon.
Conclusion II: Funding alone can enhance quality of education.
(A) Only conclusion I follows
(B) Only conclusion II follows
(C) Both I and II follow
(D) Neither I nor II follows

Q59 Given below is a statement, followed by two arguments, 1 and 2. You have to consider the statement to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given arguments, if any, support(s) the given statements.
Statement : Should lotteries operated by the state be stopped?
Arguments 1: No, government will lose revenue.
Arguinients 2: Yes, government should NOT promote gambling.
(A) Only arguments 1 is strong
(B) Only arguments 2 is strong
(C) Both arguments 1 and 2 are strong
(D) Neither arguments 1 nor 2 is strong

Q60 Given below are two statements, followed by three conclusions, I, II and III. You have to consider the statement to be true even if they to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, support(s) the given statements.
Statement 1: All the books written by X are textbooks.
Statement 2 : Some of his books are published by ABC Publishing Company

Conclusion I: ABC Publishing Company publishes textbooks only.
Conclusion II: Some textbooks written by X are published by publishers other than ABC Publishing Company.
Conclusion III: ABC Publishing Company publishes some critical theories written by X.
(A) Only conclusion I follows
(B) Only conclusion II follows
(C) Only conclusion III follows
(D) None of the 3 conclusions follow

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