Q1. The price of a commodity has increased by 60%. By what percent must a consumer reduce the consumption of the commodity so as not to increase the expenditure?
(a) 37%
(b) 37.5%
(c) 40.5%
(d) 60%
Q2. Two blends of a commodity costing Rs. 35 and Rs. 40 per kg respectively are mixed in the ratio 2 : 3 by weight. If one-fifth of the mixture is sold at Rs. 46 per kg and the remaining at the rate Rs. 55 kg, the profit percent is
(a) 50
(b) 20
(c) 40
(d) 30
Q3. Two pipes can fill a tank with water in 15 and 12 hours respectively and a third pipe can empty it in 4 hours. If the pipes be opened in order at 8, 9 and 11 a.m. respectively, the tank will be emptied at
(a) 11:40 a.m.
(b) 12:40 p.m.
(c) 1:40 p.m.
(d) 2:40 p.m.
Q6. The area of a circle whose radius is the diagonal of a square whose area is 4 is:
(a) 4𝜋
(b) 8𝜋
(c) 6𝜋
(d) 16𝜋
Q8. 200 litres of a mixture contains 15% water and the rest is milk. The amount of milk that must be added so that the resulting mixture contains 87.5% milk is
(a) 30 litres
(b) 35 litres
(c) 40 litres
(d) 45 litres
Q9. A house and a shop were sold for Rs. 1 lakh each. In this transaction, the house sale resulted into 20% loss whereas the shop sale into 20% profit. The entire transaction resulted in:
(a) no loss no gain
(b) gain of Rs. 1/24 lakh
(c) loss of Rs. 1/12 lakh
(d) loss of Rs. 1/18 lakh
Q10. A can finish a piece of work in 18 days and B can do the same work in half the time taken by A. Then working together what part of the same work they can finish in a day?
(a) 1/6
(b) 2/5
(c) 1/9
(d) 2/7
Q11. A tank has two pipes. The first pipe can fill it in 4 hours and the second can empty it in 16 hours. If two pipes be opened together at a time, then the tank will be filled in
(a) 51/2 hours
(b) 6 hours
(c) 10 hours
(d) 51/3 hours
Q12. From the top of a tower of height 180 m the angles of depression of two objects on either sides of the tower are 30° and 45°. Then the distance between the objects are
(a) 180 (3 + √3)
(b) 180 (3 -√3)
(c) 180 (√3- 1)
(d) 180 (√3 + 1)
Q13. If x + 1/x = 2, then the value of x^12-1/x^12 is:
(a) -4
(b) 4
(c) 2
(d) 0
Q14. A cuboidal water tank has 216 litres of water. Its depth is 1/3 of its length and breadth is 1/2 of 1/3 of the difference of length and breadth. The length of the tank is
(a) 72 dm
(b) 18 dm
(c) 6 dm
(d) 2 dm
Q15. A book vendor sold a book at a loss of 20%. Had he sold it for Rs. 108 more, he would have earned a profit of 30%. Find the cost price of the book?
(a) Rs. 216
(b) Rs. 648
(c) Rs. 240
(d) Rs. 432
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