(IGP) IAS Pre Paper - 2: GS - Basic Numeracy - Percentage (MCQ -6)

1. The difference of two numbers is 20%of the larger number. If the smaller number is 20, then the larger number is:
(a) 25
(b) 46
(c) 27
(d) 82

2. When any number is divided by 12, then dividend becomes 1/4th of the other number. By how much percent first number is greater than the second number?
(a) 165
(b) 200
(c) 300
(d) 400

3. If one number is 80% of the other and 4 times the sum of their squares is 656, then the numbers are:
(a) 6,8
(b) 8, 10
(c) 16, 20
(d) 10, 15

4. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
(a) 1 : 2
(b) 3 : 1
(c) 3 : 4
(d) 4 : 3

5. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
(a) 57%
(b) 77%
(c) 80%
(d) 90%

6. The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:
(a) 7%
(b) 5%
(c) 9%
(d) 8.75%

7. A student multiplied a number by 3 instead of 5/3.What is the percentage error in the calculation?
(a) 36%
(b) 44%
(c) 55%
(d) 35%

8. A tempo is insured to the extent of 4 5 of its original value. If the premium on it at the rate of 1.3 percent amounts to Rs. 910, the original value of the tempo is:
(a) Rs. 78,000
(b) Rs. 78,500
(c) Rs. 80,000
(d) Rs. 87,500

9. When 15% is lost in grinding wheat, a country can export 30 lakh tons of wheat. On the other hand, if 10% is lost in grinding, it can export 40 lakh tons of wheat. The production of wheat in the country is:
(a) 40 lakh tons
(b) 400 lakh tons
(c) 200 lakh tons
(d) 900 lakh tons

10. In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80more candidates got selected than A. What was the number of candidates appeared from each State?
(a) 7600
(b) 8000
(c) 8300
(d) 4000

11. The price of a car is Rs. 3,25,000. It was insured to 85% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received?
(a) Rs. 60,000
(b) Rs. 49,000
(c) Rs. 76,375
(d) Rs. 82,250

12. The sum of the number of boys and girls in a school is 150. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is:
(a) 51
(b) 65
(c) 60
(d) 95

13. In an examination of n questions, a student replied 15 out of the first 20 questions correctly. Of the remaining questions, he answered onethird correctly. All the questions have the same credit. If the student gets 50% marks, the value of n is:
(a) 30
(b) 67
(c) 50
(d) 82

14. The salaries of A and B together amount to Rs. 2000. A spends 95% of his salary and B, 85% of his. If now, their savings are the same, what is A’s salary?
(a) Rs. 850
(b) Rs. 1350
(c) Rs. 1500
(d) Rs. 1800

15. A’s marks in Biology are 20 less than 25% of the total marks obtained by him in Biology, Maths and Drawing. If his marks in Drawing be 50,what are his marks in Maths?
(a) 60
(b) 47
(c) 63
(d) cannot be determined

16. In an examination, there are three papers and a candidate has to get 35% of the total to pass. In one paper, he gets 62 out of 150 and in the second 35 out of 150. How much must he get, out of 180, in the third paper to just qualify for a pass?
(a) 50.5
(b) 88
(c) 70
(d) 71

17. In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 95 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class?
(a) 60
(b) 72
(c) 75
(d) 85

18. A scored 30% marks and failed by 15 marks. B scored 40% marks and obtained 35 marks more than those required to pass. The pass percentage is:
(a) 33%
(b) 40%
(c) 34%
(d) 48%

19. What is 40% of 40% equal to ?
(a) 0.16%
(b) 16%
(c) 1.6%
(d) 0.016%

20. 9 : 4 = ?
(a) 125%
(b) 200%
(c) 225%
(d) 250%

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