1. A person sold a cycle for Rs.918 and got a percentage of profit equal to the 4/75th of the cost price. What is the cost price?
(a) Rs.575
(b) Rs.625
(c) Rs.650
(d) Rs.675
(e) Rs.725
2. A sum of money amounts to Rs.2380 in four years at simple interest. If the rate of interest be raised by 30%, the sum amounts to Rs.2584 during the same period. What is the rate of interest ?
(a) 8% p. a
(b) 10 % p. a
(c) 12 % p.a
(d) 13% p.a
(e) 15 % p.a
3. The compound interest on a certain sum of money for 2 years at 11% p.a is Rs.16247. What will be the simple interest at the same rate and for same period ?
(a) Rs.14800
(b) Rs.15200
(c) Rs.15400
(d) Rs.15600
(e) Rs.15800
4. 1677 litres of a mixture contains milk and water in the ratio 9 : 4. How much water is to be added to get a new mixture containing milk and water in the ratio 9 : 7 ?
(a) 312 litres
(b) 334 litres
(c) 348 litres
(d) 387 litres
(e) 396 litres
5. Twelve years ago a father was 6 times as old as his son. After twelve years he will be 2.25 times as old as his son. What is the present age of father ?
(a) 48 years
(b) 52 years
(c) 60 years
(d) 72 years
(e) 80 years
6. How many three letter words, can be formed out of the letters of the word "SIDHANT", if repetition of letters is not allowed?
(a) 5040
(b) 2520
(c) 840
(d) 420
(e) 210
7. A bag contains 8 black and 12 blue balls. One ball is drawn at random. What is the probability that the ball drawn is black?
(a) 2/3
(b) 2/5
(c) 3/5
(d) 1/5
(e) None of these
8. Santosh sold a ball and a bat together for Rs.1966 there by making a profit of 16% on ball and 12% on bat. By selling them together for Rs.2024, he would have made a profit of 12% on ball and 16% on bat. What is the cost price of ball and bat together?
(a) Rs.1600
(b) Rs.1650
(c) Rs.1700
(d) Rs.1750
(e) Rs.1800
9. A man can row 18 km. upstream and 36 km downstream in 9 hours. Also he can row 15 km upstream and 60 km. downstream in 10 hours. What is the rate of current?
(a) 3 km/hr.
(b) 4.5 km/hr.
(c) 5 km/hr.
(d) 6 km/hr.
(e) 7.5 km/hr.
10. If 6 men and 15 women can earn Rs.7350 in 7 days and 10 men and 5 women can earn Rs.10450 in 11 days. In what time 8 men and 8 women can earn Rs.19320?
(a) 15 days
(b) 16 days
(c) 18 days
(d) 20 days
(e) 21 days
11. The width of a rectangle is 65% of its length. If the area of the rectangle is 2340 sq. metre then what is the difference between the length and width of the rectangle?
(a) 18 meter
(b) 21 meter
(c) 24 meter
(d) 32 meter
(e) 39 metre
12. The breadth of a room is 3/8 times its length. The cost of carpeting it at Rs.13.5 per sq. metre is Rs.15876 and the cost of painting the four walls at Rs.5 per square metre is Rs.6160. What is the height of the room?
(a) 5 meter
(b) 6 meter
(c) 7 meter
(d) 8 meter
(e) 9 meter
13. A rectangular tank is 24 metres long and 11 metres deep. If 1260 cu. metre of water be drawn from the tank, the level of the water goes down by 3 metres. How many cubic metres of water the tank can hold?
(a) 4050 cu. m
(b) 4180 cu. m
(c) 4260 cu. m
(d) 4480 cu. m
(e) 4620 cu. m
14. A well of 22 m diameter is dug 13.75 m deep. The earth taken out has been spread all round it to a width of 8.25 m to form a circular embankment. What will be the height of embankment?
(a) 4.84 m.
(b) 5.26 m.
(c) 6.66 m.
(d) 7.24 m.
(e) 8.48 m.
15. What is the total number of solid sphere, each of diameter 9 cm. Which could be moulded to form a solid metal cylinder of height 94.5 cm. and diameter 6 cm?
(a) 4
(b) 5
(c) 6
(d) 7
(e) 8
Answers:
1.d, 2.b,
3.c, 4.d, 5.c, 6.e, 7.b, 8.d, 9.b, 10.e, 11.b, 12.d, 13.e, 14.c, 15.d.