1. The speed of three buses are in the ratio 2:3:4. The ratio between the time taken by these buses to travel the same distance is:
a) 2:3:4 b) 4:3:2
c) 4:3:6 d) 6:4:3
2. Four years ago, the ratio of the ages of A and B was 13:9 and eight years hence, it would be 4:3. The difference of their present ages is:
a) 56 years b) 40 years
c) 16 years d) 24 years
3. A woman borrows Rs4000 from a bank at 7.50% CI. At the end of every year, she pays Rs 1500 as a part repayment of loan and interest. How much does she still owe to the bank after three such installments?
a) Rs 123.25 b) Rs 125
c) Rs 400 d) Rs469.18
4. If a sum on CI becomes three times in 4 yr, then with the same interest rate, the sum will become 81 times in:
(a) 12 yr (b) 18 yr
(c) 16 yr (d) 14 yr
5. If a% of a + b% of b = 2% of ab, then what percentage of a is b?
a) 50% b) 75%
c) 100% d) Cannot be determined
6. If (5x + 11y) is a prime number for natural number values of x and y, then what is the minimum value of (x + y)?
a) 2 b) 3 c) 4 d) 5
7) What is the di_ erence between the sum of the cubes and that of squares of the first 10 natural numbers?
a) 5280 b) 2640 c) 3820 d) 4130
8) Four bells toll at intervals of 14, 21, and 42 min, respectively. If they toll together at 11:22 am, when will they toll together for the first time after that?
a) 11:56 am b) 12:04 pm
c) 12:06 pm d) 11:48 am
* Direction for Questions 8 to10 : Read the passage below and solve the questions based on it. Two of my friends Nishant and Rajesh, have the same number of children. Each son of Nishant has 5 times as many sisters as the number of brothers, whereas each son of Rajesh has as many sisters as the number of bro thers. Each daughter of Nishant has tw ice the number of the brothers but each daughter of Rajesh has twice the number of brothers as the number of sisters.
9. How many children did Rajesh have?
a) 3 b) 4 c) 6 d) 7
10. How many sons does Nishant have?
a) 1 b) 2 c) 4
d) Cannot be determined
11. What is the ratio of the number of sons to the number of daughters in the 2 families?
a) 1:3 b) 3:1 c) 7:2
d) None of these
12. A can do half as much work as B in one day. B alone can do a certain work in 12 days. In how many days, can A and B together finish that work?
a) 6 days b) 7 days
c) 8 days d) None of these
13. In a kilometre race, A beats B by 10_m. In a two kilometres race, A beats B by:
a) 10m b) 20m
c) 40m d) 25m
14. If the side of a cube is increased by 100%, find by what percentage the surface area of the cube is increased?
a) 150% b) 200%
c) 300% d) 350%
15. If the diagonals of a rhombus are 18cm and 24cm, respectively, then find its perimeter.
a) 15cm b) 42cm
c) 60cm d) 68cm
Direction for Questions 15 and 16: Read the passage below and solve the questions based on it.
Of the 400 members of a sports club, 144 play squash (S), 135 play badminton (B), and 156 play cricket (C). Each member . plays at least one game. The members who play badminton and cricket both must play squash also. For every three members who play at least two games, there are two members who play all the three games.
16. Find the number of members who play all the three games.
a) 14 b) 23 c) 11
d) None of these
17. Find the number of members who play only squash.
a) 125 b) 122 c) 101 d) 123
18. What is the chance of drawing an ace from a deck of cards?
a) 8/52 b) 16/52
c) 2/52 d) 4/52
19. 25 natural numbers. What is the probability that it is a multiple of either 5 or 7?
a) 2/12 b) 8/25
c) 4/25 d) None of these
20. How many numbers between 100 and 1000 can be formed using the digits 0, 2, 4, 6, 8, and 5, if repetition of digits in a number is not allowed?
a) 99 b) 82 c) 100 d) 120
21. A man is running at the speed of 36_km/h, then how many m does he cover in 40 s?
a) 400m b) 300m
c) 2400m d) 100m
22. The speed of a train is 20 m/s. The time that it takes to cross a telephone pole is 10 s. What is the length of the train?
a) 100 m b) 1.5 km
c) 150 m d) 200 m
23. Four numbers in the ratio of 1:3:4:7 add up to give a sum of 75. Find the value of the biggest number.
a) 42 b) 35 c) 49 d) 63
24. Find the average age of a family of five members, whose ages are 42, 49, 56, 63, and 35 years, respectively.
a) 50 years b) 49 years
c) 45 years d) 48 years
25. In what ratio must 35% spirit solution be mixed with pure spirit to get a resultant solution of 56% spirit?
a) 35:44 b) 44:21
c) 8:3 d) 56:9
26. A beggar has 50 coins with an amount of `15 in the denominations of 25 paise and 50 paise. How many 25 paise coins are there with the beggar?
a) 36 b) 40 c) 30 d) 25
27. By selling a VCD player for `1950, I got a profit of 30%. At what price should I have sold it in order to get a profit of 40%?
a) Rs 2000 b) Rs 2100
c) Rs 2500 d) None of these
28. The profit obtained by selling a book for Rs 56 is the same as the loss obtained by selling this book for Rs 42. What is the cost price of the book?
a) Rs 40 b) Rs 50
c) Rs 49 d) None of these
29. Everyday a fruit seller sells 50% of his stock. 10% of the stock gets spoiled during the night. If a total of 1983 fruits got spoiled in three days period, how many fruits did he start with?
a) 20,000 b) 25,000
c) 24,000 d) None of these
20) Two trains have respective lengths as 230 m and 190 m. They cross each other completely in 21 s, if they are travelling in the opposite direction and in 42 s, if they are travelling in the same direction. Find the ratio of the speeds of the two trains.
a) 3 :1 b) 4:1
c) 3:2 d) None of these
31) Five tables and eight chairs cost Rs7350. Three tables and five chairs cost Rs4475. What is the price of one table?
a) Rs 950 b) Rs325
c) Rs 925 d) Rs 350
Answers
1.d 2.c 3.a 4.c 5.c
6.d 7.b 8.b 9.d 10.d
11.d 12.c 13.b 14.c 15.c
16.a 17.d 18.d 19.b 20.c
21.a 22.d 23.b 24.b 25.b
26.b 27.b 28.c 29.c 30.a
31.a
Authorization