1. The average of 3 prime numbers lying between 47 and 74 is 191/3. The greatest possible difference between any two out of the 3 prime numbers is:
(a) 12
(b) 14
(c) 18
(d) 24
(e) can’t be determined
2. The average score of Dhoni after 48 innings is 48 and in the 49th innings Dhoni scores 97 runs. In the 50th innings the minimum number of runs required to increase his average score by 2 than it was before the 50th innings:
(a) 99
(b) 149
(c) 151
(d) 171
(e) can’t be determined
3. In a village the average age of n people is 42 years. But after the verification it was found that the age of a person had been considered 20 years less than the actual age, so the new average, after the correction, increased by 1. The value of n is:
(a) 21
(b) 20
(c) 22
(d) 24
(e) none of these
4. Bhupesh sells two types of tea viz. Desi Chai and Videshi chai. He sells Desi Chai at Rs. 18 per kg and incurs a loss of 10% whereas on selling the Videshi Chai at Rs. 30 per kg, he gains 20%. In what proportion should the Desi Chai and Videshi chai be mixed such that he can gain a profit of 25% by selling the mixture at Rs. 27.5 per kg?
(a) 3 : 2
(b) 2 : 3
(c) 2 : 5
(d) 3 : 5
(e) none of these
5. The diluted wine contains only 8 litres of wine and the rest is water. A new mixture whose concentration is 30%, is to be formed by replacing wine. How many litres of mixture shall be replaced with pure wine if there was initially 32 litres of water in the mixture?
(a) 4
(b) 5
(c) 8
(d) 10
(e) none of these
6. A milk man had a mixture of milk in which ratio of milk and water is 5 : 3. He sells 40 litres of milk i.e, mixture then the adds up 15 litres of pure water. Now the ratio of milk and water is 5 : 4. What is the new quantity of mixture?
(a) 72 litres
(b) 270 litres
(c) 135 litres
(d) data insufficient
(e) none of these
7. Rs. 960 were distributed among A, B, C and D in such in way that C and D together gets half of what A and B together gets and C gets one-third amount of B. Also D gets 5/3 times as much as C. What is the amount of A?
(a) Rs. 240
(b) Rs. 280
(c) Rs. 320
(d) data insufficient
(e) Rs. 4500
8. The cost of packaging of the mangoes is 40% the cost of fresh mangoes themselves. The cost of mangoes increased by 30% but the cost of packaging decreases by 50%, then the percentage change of the cost of packed mangoes, if the cost of packed mangoes is equal to the sum of the cost of fresh mangoes and cost of packaging:
(a) 14.17%
(b) 7.14%
(c) 6.66%
(d) 8.64%
(e) none of these
9. Abhinav scores 80% in Physics and 66% in chemistry and the maximum marks of both the papers are 100. What per cent does he score in Maths which is of 200 marks, if the scores 80% marks in all the three subjects:
(a) 74 %
(b) 84 %
(c) 87 %
(d) 83 %
(e) none of these
10. A dishonest trader marks up his goods by 80% and gives discount of 25%. Besides he gets 20% more amount per kg from wholeseller and sells 10% less per kg to customer. What is the overall profit percentage?
(a) 80 %
(b) 60 %
(c) 70 %
(d) 65 %
(e) none of these
11. A merchant earns 25% profit in general. Once his 25% consignment was abducted forever by some goondas. Trying to compensate his loss he sold the rest amount by increasing his selling price by 20%. What is the new percentage profit or loss?
(a) 10 % loss
(b) 12.5 % loss
(c) 12.5 % profit
(d) 11.11% loss
(e) none of these
12. Akbar lends twice the interest received from Birbal to chanakya at the half of the interest at which he lent to Birbal. If Akbar lent Rs. P @ r% per annum for 1 year to Birbal then the interest received by Akbar from Chanakya is:
(a) Pr2/100
(b) (Pr/10)2
(c) P (r/10)2
(d) P (r/100)2
(e) none of these
13. The ratio of the amount for two years under CI annually and for one year under SI is 6 : 5. When the rate of interest is same, then the value of rate of interest is:
(a) 12.5 %
(b) 18 %
(c) 20 %
(d) 16.66 %
(e) none of these
14. Sunidhi borrowed Rs. 10815, which is to be paid back in 3 equal half yearly installments. If the interest is compounded half yearly at 40/3% per annum, how much is each installment?
(a) 2048
(b) 3150
(c) 4096
(d) 5052
(e) none of these
15. The difference between simple and compound interest for the fourth year is Rs. 7280 at 20% p.a. What is the principal sum?
(a) 10000
(b) 5000
(c) 1 lakh
(d) 4000
(e) 8275
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