SSC CGL Ratio, Proportion and Average Verified Practice Test 2

1. The ratio of 36 to 48 in simplest form is:

• A. 2:3
• B. 3:4 (Correct)
• C. 4:5
• D. 5:6

Explanation: 36:48 simplifies by dividing both terms by 12.

2. If 2:5 = x:20, then x =

• A. 6
• B. 8 (Correct)
• C. 10
• D. 12

Explanation: 2/5 = x/20, so x = 8.

3. Average of 10, 20, 30, 40 is:

• A. 20
• B. 22.5
• C. 25 (Correct)
• D. 27.5

Explanation: Sum = 100, average = 100/4 = 25.

4. If the average of 5 numbers is 18, their sum is:

• A. 80
• B. 85
• C. 90 (Correct)
• D. 95

Explanation: Sum = average × number of terms = 18 × 5 = 90.

5. Average weight of 4 boys is 50 kg and of 6 boys is 60 kg. Average weight of all boys is:

• A. 54 kg
• B. 55 kg
• C. 56 kg (Correct)
• D. 58 kg

Explanation: Total weight = 4×50 + 6×60 = 560, average = 560/10 = 56.

6. A and B invest 5000 and 7000 for the same time. Their profit ratio is:

• A. 5:7 (Correct)
• B. 7:5
• C. 12:7
• D. 10:7

Explanation: Equal time means profit ratio equals investment ratio.

7. Water is mixed with milk in the ratio 1:4. What percentage of the mixture is water?

• A. 20% (Correct)
• B. 25%
• C. 30%
• D. 40%

Explanation: Water fraction = 1/(1+4) = 1/5 = 20%.

8. If boys:girls = 3:2 and total students are 50, number of girls is:

• A. 18
• B. 20 (Correct)
• C. 22
• D. 25

Explanation: Total parts = 5, so each part = 10, girls = 2 parts = 20.

9. The average age of 3 persons is 24 years. If one more person of age 36 joins, the new average is:

• A. 26
• B. 27 (Correct)
• C. 28
• D. 30

Explanation: Total age = 3×24 = 72. New total = 108, average = 108/4 = 27.

10. Rice at Rs. 40/kg is mixed with rice at Rs. 50/kg to get a mixture worth Rs. 46/kg. Ratio of cheaper to dearer rice is:

• A. 2:3 (Correct)
• B. 3:2
• C. 4:1
• D. 1:4

Explanation: By alligation, cheaper:dearer = (50-46):(46-40) = 4:6 = 2:3.

11. A man covers equal distances at 30 km/h and 60 km/h. Average speed is:

• A. 40 km/h (Correct)
• B. 42 km/h
• C. 45 km/h
• D. 48 km/h

Explanation: Average speed for equal distances = 2ab/(a+b) = 2×30×60/90 = 40.

12. If A:B = 4:5 and B:C = 3:2, then A:B:C =

• A. 12:15:10 (Correct)
• B. 4:5:2
• C. 8:15:10
• D. 12:5:2

Explanation: Make B common: 4:5 and 3:2 become 12:15 and 15:10.

13. Fourth proportional to 2, 4, 8 is:

• A. 12
• B. 14
• C. 16 (Correct)
• D. 18

Explanation: 2:4 = 8:x, so x = 16.

14. Average of first 9 natural numbers is:

• A. 4
• B. 4.5
• C. 5 (Correct)
• D. 5.5

Explanation: Average of first n natural numbers = (n+1)/2 = 5.

15. A invests for 12 months and B invests the same amount for 8 months. Profit ratio is:

• A. 2:3
• B. 3:2 (Correct)
• C. 1:1
• D. 4:3

Explanation: Profit ratio follows money × time, so 12:8 = 3:2.