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Wednesday, August 22, 2012

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)

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