NUMERICAL ABILITY
1. The difference between the square of any two consecutive integers is equal to
(a) An even number
(b) Difference of two numbers
(c) Product of two numbers
(d) Sum of two numbers
Ans: ( d ) Sum of two numbers
2 What is the greatest possible length of a scale that can be used to measure exactly the following three lengths?
3m; 5m-10 cm; 12m-90 cm
(a) 30 cm
(b) 20 cm
(c) 25 cm
(d) 10 cm
Ans: ( a ) 30 cm
3 The HCF of two numbers is 96 and their LCM is 1296. If one number is 864, then what is the other number?
(a) 72
(b) 64
(c) 144
(d) 11664
Ans: ( c ) 144
4 A drum of water is 3/5 full. When 38 litres are drawn from it, it is just 1/8 full. What is the total capacity of the drum in litres?
(a) 100 litres
(b) 80 litres
(c) 85 litres
(d) 90 litres
Ans: ( b ) 80 litres
5 If the cost of telephone calls in a town is 30 paise per call for the first 100 calls, 25 paise per call for the next 100 calls and 20 paise per call for calls exceeding 200, then how many calls can be made in Rs. 50 ?
(a) 180
(b) 200
(c) 225
(d) 175
Ans: ( a ) 180
6 A reduction of Rs. 2 per kg in the price of sugar enables a man to purchase 4 kg more sugar now in Rs. 16. What was the original price of sugar?
(a) Rs. 16 per kg
(b) Rs. 8 per kg
(c) Rs. 4 per kg
(d) Rs. 2 per kg
Ans: ( c ) Rs. 4 per kg
7 33% marks are required to pass an examination. A candidate who gets 210 marks, fails by 21 marks. What are the total marks for the examination ?
(a) 700
(b) 650
(c) 600
(d) 550
Ans: ( a ) 700
8 The ticket for admission to an exhibition was Rs. 5 and it was later reduced by 20%. As a result, the sale proceeds of tickets increased by 44%. What was the percentage increase in number of visitors?
(a) 50%
(b) 25%
(c) 75%
(d) 80%
Ans: ( d ) 80%
9 The average weight of 8 men is increased by 2 kg when one man of 50 kg is replaced by a new man. What is the weight of the new man?
(a) 58 kg
(b) 68 kg
(c) 60 kg
(d) 66 kg
Ans: ( d ) 66 kg
10. Nine men went to a hotel 8 of them spent Rs. 3 each over their meals and the ninth person spent Rs. 2 more than the average expenditure of all the nine. The total money spent by all of them was
(a) Rs. 26
(b) Rs. 40
(c) Rs. 29.25
(d) Rs. 27.50
Ans: ( c ) Rs. 29.25
11. The sum of the present ages of A, B and C is 90 years. Six years ago, their ages were in the ratio of 1 : 2 : 3. What is the present age of C?
(a) 36 years
(b) 42 years
(c) 40 years
(d) 45 years
Ans: ( b ) 42 years
12. The sum of the salaries of A and B is Rs. 2,100. A spends 80% of his salary and B spends 70% of his salary. If their savings are in the proportion of 4 : 3, then what is the salary of A
(a) Rs. 1400
(b) Rs. 1200
(c) Rs. 900
(d) Rs. 700
Ans: ( a ) Rs. 1400
13 Rs. 1,290 are divided between A, B and C such that As share is 1 ½ times that of B and Bs share is 1 ¾ times that of C. What is Cs hsare?
(a) Rs. 240
(b) Rs. 420
(c) Rs. 630
(d) Rs. 350
Ans: ( a ) Rs. 240
14. Five litres of water is added to a certain quantity of pure milk, which costs Rs. 3 per litre. If the mixture is sold at the same price of Rs. 3 per litre, a profit of 20% is made (ignore the cost of water). What is the amount of pure milk in the mixture?
(a) 20 litres
(b) 28 litres
(c) 25 litres
(d) 30 litres
Ans: ( c ) 25 litres
15. Fifteen men working 8 hours a day take 21 days to complete a work. How many days will be taken by 21 women to complete the same work, working 6 hours a day? ( 3 women do as much work as 2 men).
(a) 25 days
(b) 30 days
(c) 33 days
(d) 28 days
Ans: ( b ) 30 days
16. A can knit a pair of socks in 3 days. B can knit the same pair in 9 days. If they are knitting together, then in how many days will they knit two pairs of socks?
(a) 4 days
(b) 5 days
(c) 4 ½ days
(d) 3 days
Ans: ( c ) 4 ½ days
17. Two electronic music systems are bought for Rs. 8,000. One was sold at 40% profit and the other was sold at 40$ loss. If the S.P. of both be same, then what was the C.P. of both the systems ?
(a) Rs. 3000, Rs. 5000
(b) Rs. 4000, Rs. 4000
(c) Rs. 3500, Rs. 4500
(d) Rs. 2400, Rs. 5600
Ans: ( d ) Rs. 2400, Rs. 5600
18. If the marked price is 30% more than the C.P. and 10% discount is allowed on the marked price, then what will be the gain %?
(a) 20%
(b) 15 ½%
(c) 17%
(d) 18 ½%
Ans: ( c ) 17%
19. A man has Rs. 2,000. Some portion of this amount, he lends @ 5% p.a. S.I. and the remaining portion of the same is lent at 4% p.a. S.I. He earns Rs. 96 in a year. What amount was lent by him at 4%.
(a) Rs. 1200
(b) Rs. 600
(c) Rs. 400
(d) Rs. 1600
Ans: ( c ) Rs. 400
20. What sum will become Rs. 496 in 6 years @ 4% p.a. ?
(a) Rs. 500
(b) Rs. 400
(c) Rs. 460
(d) Rs. 456
Ans: ( b ) Rs. 400
21. A car covers a distance of 420 km at its normal speed. If the speed of the car would have been 10 km/hr
more htan the normal speed, then it would have taken one hour less to cover the same distance. What was the speed
of the car?
(a) 50 km/hr
(b) 40 km/hr
(c) 55 km/hr
(d) 60 km/hr
Ans: ( d ) 60 km/hr
22. A 110 m long train is running @ 60 km/hr. How much time will it take to cover the 240 m long platform?
(a) 5 5/6 seconds
(b) 14 2/5 seconds
(c) 4 seconds
(d) 21 seconds
Ans: ( d ) 21 seconds
23. In a river, a man takes 3 hours in rowing 3 km upstream or 15 km downstream. What is the speed of the
current?
(a) 2 km/hr
(b) 4 km/hr
(c) 6 km/hr
(d) 9 km/hr
Ans: ( a ) 2 km/hr
24. A and B can cover a 200 m race in 22 seconds and 25 seconds respectively. When a finished the race, then B is at what distance from the finishing line?
(a) 30 m
(b) 48 m
(c) 24 m
(d) 54 m
Ans: ( c ) 24 m
25. The difference between the circumference of a circle and its radius is 37 metres. What is the radius of
the circle?
(a) 5 m
(b) 7 m
(c) 12 m
(d) 14 m
Ans: ( b ) 7 m
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