IAS Exam: IAS Prelims CSAT Basic Numeracy Set 2

For the Civil Services aspirants, here, we have provided numerical test paper for the IAS Prelim Examination:

Created On: Jan 7, 2016 09:49 IST

In the Civil Services Prelim Examination, the CSAT paper has been made qualifying in nature from 2015 onwards. The candidates have to score at least qualifying marks in the paper but in case, if a candidate could not be able to score the required qualifying marks in CSAT Paper then his/her other papers will not be evaluated. So, it is important for the candidates to do preparation in such a manner that there must not lay them in any suspicion of underscoring.

Category: Simple interest and compound interest

1. The population of a town was 3600 three years back. It is 4800 right now. What will be the population three years down the line, if the rate of growth of population has been constant over the years and has been compounding annually?

a) 6000

b) 6400

c) 7200

d) 9600

Answer (b)


Category: Mensuration

2. What is the diagonal of a rectangle with perimeter and area, 32m and 56 m2 respectively?

a) 144 m

b) 12 m

c) 13

d) 16

Answer (b)

Explanation: Let the diagonal of the rectangle be d.

Category: Mixture and allegations

3. A mixture can be prepared by Zinc and copper. Price of Zinc is thrice the price of copper. Rohan sells the mixture at Rs. 4320 per 20g, thereby making a profit of 20%. If the ratio of zinc  and copper in the mixture be 2 : 3, find the cost price of Zinc.

a) Rs. 210/gm

b) Rs. 300/gm

c) Rs. 120/gm

d) Rs. 354/gm

Answer (b)

Explanation: Let C.P. of copper =x and C.P. of Zinc = 3x

4. A sphere of radius 12 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 16 cm. If the sphere is submerged completely, then the surface of the water rises by:

a) 7 cms

b) 8 cms

c) 9 cms

d) 10 cms

Answer (c)


Category: Probability

5. The probability that a diversified company will get a Power project is 2/3 and the probability that he will get an solar energy project is 5/9. If the probability of getting at least one contract is 4/5, what is the probability that he will get both the contracts?

a) 19/45

b) 13/45

c) 12/35

d) 11/23

Answer (a)


6. The sum of the ages of a mother and daughter is 45 years. Five years ago the product of their ages was 4 times the mother's age at that time. The present ages of the mother and daughter respectively are:

a) 25 years, 10 years

b) 36 years, 9 years

c) 39 years, 6 years

d) None of these

Answer (b)

Explanation: Let daughter's age=x. Then, mother's age=(45-x)

(x-5) (45-x-5)=4(45-x-5)

x-5=4, x=9

Therefore, mother's age now=36 years & daughter's age=9 years.

Category: Data sufficiency

7. Direction: In each question there are two statements A and B, you have to select the correct answer from (a) to (d) depending upon the sufficiency of data given in the statements to answer the question.

a) If statement A alone is sufficient and statement B alone is not sufficient to answer the question.

b) If statement B alone is sufficient and statement A alone is not sufficient to answer the question.

c) If statements A and B together are sufficient but neither statements alone is sufficient to answer the question.

d) If both the statements A and B together are not sufficient to answer the question.

Find the profit obtained by the Ramesh at the end of the year, if the profit is Rs 60,000    .

A. Ramesh has invested 60,000 and Vishwas 25,000.

B. Ramesh has invested the money for 10 months and Vishwas for 12 months

Answer (c)

Explanation: Both the statements are needed to solve this question

Amount1* time 1: Amount2*time2

60,000*10 : 25,000*12



So the profit has to be divided in the ratio of 2:1

So the profit of Ramesh =2* 60,000/3=2 *60,000=1, 20,000/3= 40,000.

Category: Data interpretation

Directions (18- 20): Given below is the data of production and consumption of wheat (in tonnes) in India during the given time period. (Production + Import = Consumption + Export + change in closing stock)





(-) and (+) in Closing Stock

2001 - 2002

3, 50,480




2002 - 2003





2003 - 2004





2004 - 2005





2005 - 2006





2007 - 2008





2007 - 2008





2008 - 2009





8. Calculate the total quantity of import during the year?

a) 2,01,786

b) 1,98,456

c) 2,14,786

d) 1,89,821

Answer (d)

Explanation: Total amount of import during the year

= (19,940 + 8093 + 51,635 + 19,770 + 32,070 + 29,534 + 20,207 + 8572)

= 1, 89,821

9. What is the respective ratio of average export and average import during the period?

a) 331 : 2373

b) 378 : 3456

c) 361 : 2871

d) None of these

Answer (a)

Explanation: Average Export: Average Import

26505/8 : 189821/8

3310:  23730 (approximately)

10. Find the approximate percentage growth in the quantity of the export during the entire period?

a) 87

b) 93

c) 96

d) None of these

Answer (b)


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