(Study Materials) Numerical Ability/Quantitative Aptitude : Ratio and Proportion - MCQ

1. A sum of money is divided among 160 males and some females in the ratio 16 : 21. Individually each male gets  Rs. 4 and each female Rs. 3. The number of females is:

1. 280
2. 298
3. 292
4. 293
5. 300

2. In a factory men, women and children were employed in the ratio 8 : 5 : 1 to finish a job-and their individual wages were in the ratio 5 : 2 : 3. Total daily wages of all amount to Rs. 318. Find the total daily wages paid to each category.

1. Rs. 240, 60, 18
2. Rs. 210, 70, 38
3. Rs. 190, 95, 33
4. Rs. 240,45,15
5. None of these

3. Ram, Shiv and Ganesh assemble for a contributory party. Ram brings 3 apples while Shiv brings 5. Since Ganesh did not have any apples, he contributed Rs. 8. How many rupees should Ram and Shiv respectively get, assuming each of the three consumes an equal portion of the apples?

1. 1, 7
2. 2, 5
3. 5, 3
4. 2, 6
5. 2,7

4. A factory employs skilled workers, unskilled workers and clerks in the proportion 8 : 5 : 1 and the wages of a skilled worker as unskilled worker and a clerk are in the ratio 5 : 2 : 3. When 20 unskilled workers are employed, the total daily wages of all, amount to Rs. 318. Find the daily wages paid to each category of employees (Rs.):

1. 240,57,19
2. 210,70,13
3. 230,65,12
4. 210,70,15
5. 240,60,18

5. The price of a diamond is proportional to the square of its weight. The diamond accidentally fell and broke into four pieces whose weights are in the ratio of 1 : 2 : 3 : 4. If the price fetched is Rs. 70,000 less than the original price, find the original price?

1. Rs. 100,000
2. Rs. 70,000
3. Rs. 160,000
4. Rs. 10800
5. Rs. 150,000

6. The speeds of three cars are in the ratio 2 : 3 : 4. The ratio between the times taken by these cars to travel the same distance is

1. 1 : 2 : 3
2. 2 : 3 : 4
3. 8 : 5 : 4
4. 4 : 3 : 6
5. 6 : 4 : 3

7. If a, b, c and d are proportional then the mean proportion between a2 + c2 and  b2 + d2 is

1. ad/dc
2. ab + cd
3. a/b + d/c
4. b2/a2 + d2/c2
5. a/b + d2/c2

8. A cat takes 5 leaps for every 4 leaps of a dog, but 3 leaps of the dog are equal to 4 leaps of the cat. What is the ratio of the speed of the cat to that of the dog?

1. 13 : 14
2. 15 : 11
3. 17 : 15
4. 15 : 16
5. 15 : 17

9. A bag contains one rupee, 50-paise and 25-paise coins in the ratio 2 : 3 5. Their total value is Rs. 114. The value of 50 paise coins is:

1. Rs. 28
2. Rs. 36
3. Rs. 49
4. Rs. 72
5. Rs. 50

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