Comparing Quantities Quiz

The cost of 18 kg of oranges is equal to the cost of 16 kg of tomatoes. Determine the ratio of the cost of 20 kg of tomatoes to 24 kg of oranges.

1. 16 : 15
2. 5 : 8
3. 15 : 16
4. 20 : 27

Answer: (c) 15 : 16

The ratio of two numbers is 1 : 3. If 4 is added to the smaller number and 3 is subtracted from the larger number, then the ratio becomes 5 : 12. Determine two-sevenths of the larger number.

1. 18
2. 6
3. 24
4. 63

Answer: (a) 18

If the sum of c and d is 21 and 6 : d : : c : 9, find the value of c³ + d³.

1. 279
2. 333
3. 1134
4. 5859

Answer: (d) 5859

For what value of s are the ratios 4/7 : 1/3 and s : 7/5 in proportion?

1. 20/21
2. 4/15
3. 12/5
4. 28

Answer: (b) 4/15

Train A travels 1350 km in 9 hours, while Train B travels 2275 km in 7 hours. Determine the ratio of the speed of Train B to that of Train A.

1. 13 : 6
2. 6 : 19
3. 6 : 13
4. 13 : 19

Answer: (a) 13 : 6

A committee is formed with a certain number of males and females. The number of females in the committee is 10 more than half the number of males. After one year, 8 new members are added - 5 males and 3 females. As a result, the ratio of males to females becomes 19 to 13. What is the total number of females in the committee after one year?

1. 36
2. 55
3. 39
4. 57

Answer: (c) 39

The sum of three numbers is 17 less than the square of 13. If the ratio of the first and the second number is 1 : 3 and the ratio of the second number to the third number is 7 : 16. Find the third number.

1. 42
2. 126
3. 152
4. 96

Answer: (d) 96

Given that p : q = 3 : 10 and q : r = 15 : 8. Find the value of p : q : r.

1. 9 : 15 : 9
2. 9 : 30 : 16
3. 3 : 10 : 16
4. 9 : 5 : 8

Answer: (b) 9 : 30 : 16

In a mixture of 102 litres, the ratio of milk to water is 9 : 8. If some quantity of water is added to the mixture, the ratio of milk to water becomes 3 : 4. What is the quantity of water added?

1. 24 litres
2. 36 litres
3. 48 litres
4. 54 litres

Answer: (a) 24 litres

If s : t = 6 : 1, then find the value of (5s + 9t) : (12s - 7t).

1. 1/15
2. 3/5
3. -59/30
4. 5/3

Answer: (b) 3/5