APTITUDE QUIZ
1. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:
A. 400 kg
B. 560 kg
C. 600 kg
D. 640 kg
2. In what ratio must water be mixed with milk to gain 16% on selling the mixture at cost price?
A. 1 : 6
B. 6 : 1
C. 2 : 3
D. 4 : 3
3. Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
A. 1 : 3
B. 2 : 3
C. 3 : 4
D. 4 : 5
4. In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?
A. 3 : 2
B. 3 : 4
C. 3 : 5
D. 4 : 5
5. The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:
A. Rs. 18
B. Rs. 18.50
C. Rs. 19
D. Rs. 19.50
6. 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?
A. 18 litres
B. 24 litres
C. 32 litres
D. 42 litres
7. In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
A. 3 : 7
B. 5 : 7
C. 7 : 3
D. 7 : 5
8. A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
A. 4%
B. 6 1/4 %
C. 20%
D. 25%
9. How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?
A. 36 kg
B. 42 kg
C. 54 kg
D. 63 kg
10. A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
A. 26.34 litres
B. 27.36 litres
C. 28 litres
D. 29.16 litres
11. In a hockey championship, there are 153 matches played. Every two team played one match with each other. The number of teams participating in the championship is:
A. 16
B. 17
C. 18
D. 19
12. A box contains 10 balls out of which 3 are red and rest are blue. In how many ways can a random sample of 6 balls be drawn from the bag so that at the most 2 red balls are included in the sample and no sample has all the 6 balls of the same colour?
A. 105
B. 168
C. 120
D. 189
13. How many arrangements of four 0’s (zeroes), two 1’s and two 2’s are there in which the first 1 occur before the first 2?
A. 420
B. 360
C. 320
D. 210
14. A selection committee is to be chosen consisting of 5 ex-technicians. Now there are 12 representatives from four zones. It has further been decided that if Mr. X is selected, Y and Z will not be selected and vice-versa. In how many ways it can be done?
A. 572
B. 672
C. 472
D. 372
15. How many 5-digit positive integers exist the sum of whose digits are odd?
A. 36000
B. 38000
C. 45000
D. 90000
16. A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?
A. 392
B. 126
C. 26
D. 9
17. A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 woman. The shortlist consists of 9 men and 6 women. In how many ways can this committee be formed?
A. 4914
B. 3630
C. 3724
D. 3824
18. How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?
A. 100
B. 50
C. 26
D. 1000
19. How many number of times will the digit 7 be written when listing the integers from 1 to 1000?
A. 271
B. 300
C. 252
D. 304
20. If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM?
A. 24
B. 31
C. 32
D. 30
ANSWERS
1. C
2. A
3. B
4. A
5. A
6. B
7. C
8. C
9. D
10. D
11. C
12. B
13. D
14. B
15. C
16. B
17. A
18. A
19. B
20. C
