UPSC IAS COMMERCIAL Maths Practice Test Paper

UPSC IAS COMMERCIAL Maths Practice Test Paper

Maths. Solved Sample Paper

Tick  the correct answer amongst the following.

1. The population of small town is increased by 7.5 % per annum for two years. If the

                                                                                

      present population is 73960, then two years before the population was

(a) 68,000

(b) 70,000

(c) 64,000

(d) 60,000

Ans. (c)

2. A person purchased 10 dozen pens the rate of Rs 4 per dozen. On checking, he found

      that 10 pens were not working. In order to earn 25% he should sell the remaining  

      pens, each at

(a) 40 paise

(b) 44 paise

(c) 50 paise

(d) none of these

Ans. (d)

3. The total number of candidates at an examination, if 31 % fail and the number of

      falling students is 248, is

(a) 800

(b) 900

(c) 1,000

(d) 1,100

Ans. (a)

4. A person finds that an increase in the rate of interest from 4.75% to per annum

      increases his yearly income by Rs 30. His capital in rupees is

(a) 15,000

(b) 14,000

(c) 13,000

(d) 12,000

Ans. (d)

5. A sum of money at compound interest is doubled in 20 years. Then the number of

      years required to treble the sum will be

(a) 32 yrs

(b) 35 yrs

(c) 40 yrs

(d) 45 yrs

Ans. (a)

6. If 391 is divided into three parts proportional to then the first part is

(a) 150

(b) 160                                                                      

(c) 180

(d) none

Ans. (d)

7. 12 men complete a work in 20 days. If only 8 men are employed, then the time

      required to complete the same work is

(a) 24 days

(b) 25 days

(c) 30 days

(d) 35 days

Ans. (c)

8. The difference between the simple and compound interest on a certain sum for 3

      years at 10% per annum is Rs 63.86. Then the sum is

(a) Rs 2,600

(b) Rs 2,006

(c) Rs 2,060

(d) Rs 2,080

Ans. (c)

9. If selling price of 16 items same as the cost price of 20 items, then there is a

(a) loss of 20%

(b) loss of 25%

(c) gain of 20%

(d) gain of 25%

Ans. (d)

10. The current population of a town is 10,000. If the population increases by 10% every

      year, then the population of the town after three years will be

(a) Rs 13,310

(b) Rs 13,500

(c) Rs 14,000

(d) Rs 14,500

Ans. (a)

11. 16 men or 24 women can do a piece of work in 20 days. The number of days needed

      to complete the job, if 20 men and 30 women are employed to do the same piece of

      work is

(a) 6

(b) 7

(c) 8

(d) 9

Ans. (c)

12. A man had Rs 2,000. He lent a part of this at 5% interest and the rest at 4% interest.

      The total interest he received in one year was Rs 92. The money he lent at 5% interest

      was

(a) Rs 1,200

(b) Rs 1,250

(c) Rs 1,300

(d) Rs 1,350

Ans. (a)

13. 10% of 15% of 20% of Rs 500 is

(a) 0.50

(b) 3.50

(c) 1.50

(d) 2.50

Ans. (c)

14. The price of sugarcane rises by 50%. Then by what fraction must a person reduce his

      consumption so that the expenditure remains same?

(a) 1/4

(b) 1/3

(c) 1/2

(d) 2/3

Ans. (b)

15. A boy is given rich diet and gains 15% in weight. He is then put on a poor diet and

      loses 20% in weight. On the whole the boy will

(a) lose 5% weight

(b) lose 8% weight

(c) lose 10% weight

(d) remain the same

Ans. (b)

16. Jayant sold two books at Rs 14 each. On one he gains 20% and on the other loses

      20%. Then he made

(a) no profit no loss

(b) loss of 4%

(c) gain of 1%

(d) none of these

Ans. (b)

17. Ram owns a plot worth Rs 10,000. He sells it to Shyam at a profit of 10%. After

      sometime Shyam sells it back to Ram at a 10% loss, then Ram overall

(a) loses Rs 100

(b) loses Rs 900

(c) gains Rs 100

(d) gains Rs 1.100

Ans. (d)

18. ‘A’ buys a pen for Rs 4 and sells it for Rs 5. He calculates his profit first as a

       percentage of the buying price then as a percentage of the selling price. The

       difference between these two is

(a) 20%

(b) 10%

(c) 5%

(d) 15%

Ans. (c)

19. An agent makes a profit of 20% even after a discount of 10% discount on the

      advertised price. If he makes a profit of Rs 750 on the sale of a scooter, then the

      advertised price is

(a) Rs 4,550

(b) Rs 4,500

(c) Rs 5,000

(d) Rs 5,050

Ans. (c)

20. If the cost of a pen is Rs 12.60 and the gain was 10% of the marked price, then the

      marked price of a pen was

(a) Rs 15

(b) Rs 14

(c) Rs 13

(d) Rs 12

Ans. (b)

21. A shopkeeper professes to sell his goods at cost price but uses a weight of 800 grams

      instead of a kilogram weight. Thus he makes a gain of

(a) 10%

(b) 15%                                            

(c) 20%

(d) 25%

Ans. (d)

22. Mr. Rai bought a machine that was tested at Rs 320. He was given successive

      discounts of 20% and 10%, then the price he paid was

(a) Rs 120.40

(b) Rs 220.40

(c) Rs 230.40

(d) none of these

Ans. (c)

23. The time required so that Rs 450 may increase to Rs 576 (the rate of simple interest

      being 7% per annum) is

(a) 2 years

(b) 3 years

(c) 4 years

(d) 6 years

Ans. (c)

24. Rs 300 amounts to Rs 360 in 4 years at simple interest. If the rate of interest is

      increased by 1%, it would amount to

(a) Rs 364

(b) Rs 368

(c) RS 372

(d) Rs 384

Ans. (c)

25. The simple interest on a sum of money is 9/25 % of the principal and the rate percent is

      equal to number of years. The rate percent is

(a) 3%

(b) 4%

(c) 5%

(d) 6%

Ans. (d)