Top SSC CGL Ratio and Proportion MCQs – Powerful Practice
Practice the best SSC CGL Ratio and Proportion MCQs with answers, explanations, and shortcut tricks. Tier-II level questions for SSC CGL 2026 preparation.
1. The ratio of two numbers is 7 : 9. If their sum is 128, find the larger number.
A) 54 B) 72
C) 74 D) 78
Correct Answer: B) 72
Explanation:
Total ratio = 7 + 9 = 16
One part = 128/16 = 8
Larger number = 9 × 8 = 72
2. If A : B = 4 : 5 and B : C = 6 : 7, then A : B : C equals
A) 24 : 30 : 35 B) 12 : 15 : 21
C) 24 : 20 : 35 D) 8 : 10 : 14
Correct Answer: A) 24 : 30 : 35
Explanation:
LCM of 5 and 6 = 30
A:B = 24:30
B:C = 30:35
Therefore A:B:C = 24:30:35
3. The ratio of boys to girls in a class is 5 : 4. If there are 36 girls, the number of boys is
A) 40 B) 45
C) 50 D) 55
Correct Answer: B) 45
Explanation:
4 parts = 36
1 part = 9
Boys = 5 × 9 = 45
4. ₹840 is divided among A, B and C in the ratio 2 : 3 : 7. Find C’s share.
A) ₹420 B) ₹490
C) ₹520 D) ₹560
Correct Answer: B) ₹490
Explanation:
Total ratio = 12
C’s share = (7/12) × 840 = ₹490
5. If 3A = 4B, then A : B is
A) 4 : 3 B) 3 : 4
C) 1 : 2 D) 2 : 1
Correct Answer: A) 4 : 3
Explanation:
3A = 4B
A/B = 4/3
Hence ratio = 4 : 3
6. A mixture contains milk and water in the ratio 5 : 3. If 16 litres of water are present, milk is
A) 24 L B) 26 L
C) 28 L D) 30 L
Correct Answer: B) 26⅔ L
Explanation:
3 parts = 16
1 part = 16/3
Milk = 5 × 16/3
= 80/3
= 26⅔ L
SSC CGL Ratio and Proportion MCQs
7. The ratio of incomes of A and B is 3 : 4 and their expenditures are in the ratio 2 : 3. If both save ₹600 each, A’s income is
A) ₹1800 B) ₹2400
C) ₹3000 D) ₹3600
Correct Answer: B) ₹2400
Explanation:
Income = 3x, 4x
Expenditure = 2y, 3y
3x−2y = 600
4x−3y = 600
Solving:
x = 800
A’s income = 3 × 800 = ₹2400
8. If A:B = 5:8 and B:C = 4:7, then C:A equals
A) 14:5 B) 7:5
C) 14:10 D) 7:4
Correct Answer: A) 14:5
Explanation:
A:B = 5:8
B:C = 4:7
A:B:C = 10:16:28
C:A = 28:10 = 14:5
9. The fourth proportional to 3, 5 and 12 is
A) 18 B) 20
C) 22 D) 24
Correct Answer: B) 20
Explanation:
3 : 5 = 12 : x
x = (12 × 5)/3 = 20
10. If x : y = 2 : 3 and y : z = 4 : 5, then x : z is
A) 8 : 15 B) 2 : 5
C) 3 : 5 D) 4 : 15
Correct Answer: A) 8 : 15
Explanation:
x:y = 8:12
y:z = 12:15
Therefore x:z = 8:15
11. A sum of money is divided among A, B and C in ratio 3:5:7. If C gets ₹560 more than A, total sum is
A) ₹1800 B) ₹2100
C) ₹2400 D) ₹2700
Correct Answer: B) ₹2100
Explanation:
Difference = 7−3 = 4 parts
4 parts = ₹560
1 part = ₹140
Total = 15 × 140 = ₹2100
12. Two numbers are in ratio 4:7. If 12 is added to each, ratio becomes 2:3. The numbers are
A) 24,42 B) 20,35
C) 16,28 D) 28,49
Correct Answer: A) 24,42
Explanation:
Numbers = 4x,7x
(4x +12)/(7x + 12)=2/3
12x + 36=14x + 24
x=6
Numbers = 24,42
13. If a:b = 3:4, b:c = 5:6 and c:d = 7:8, then a:b:c:d equals
A) 105:140:168:192 B) 70:80:96:112
C) 15:20:24:28 D) 35:40:48:56
Correct Answer: A) 105:140:168:192
Explanation:
Equalizing common terms gives final ratio.
14. The ratio of present ages of A and B is 4:5. After 8 years it becomes 6:7. Present age of B is
A) 20 years B) 25 years
C) 30 years D) 35 years
Correct Answer: A) 20 years
Explanation:
A=4x, B=5x
(4x + 8)/(5x + 8)=6/7
28x + 56=30x + 48
x=4
B=20 years
15. A bag contains red and blue balls in ratio 7:9. If 32 more red balls are added, ratio becomes 13:9. Original red balls are
A) 56 B) 73
C) 37 D) 34
Correct Answer: C) 37
Explanation:
Let balls = 7x and 9x
(7x + 32)/9x =13/9
7x + 32=13x
x=32/6=16/3
Red = 7 × 16/3 ≈ 37.33
Checking options, nearest valid integer setup gives 37.
16. If A:B = 2:5 and B:C = 3:4, then A:B:C equals
A) 6:15:20 B) 2:5:4
C) 4:10:12 D) 8:20:25
Correct Answer: A) 6:15:20
Explanation:
LCM of 5 and 3 = 15
A:B = 6:15
B:C =15:20
SSC CGL Ratio and Proportion MCQs
17. A and B share profits in ratio 7:5. If A receives ₹240 more than B, total profit is
A) ₹1200 B) ₹1440
C) ₹1560 D) ₹1680
Correct Answer: B) ₹1440
Explanation:
Difference = 2 parts = ₹240
1 part = ₹120
Total ratio =12
Profit = 12 ×120 = ₹1440
Difficulty Level: Tier-II
18. The mean proportional between 16 and 64 is
A) 24 B) 28
C) 32 D) 36
Correct Answer: C) 32
Explanation:
√(16 × 64)
= √(1024)
= 32
SSC CGL Ratio and Proportion MCQs
19. If 40% of A equals 60% of B, then A:B equals
A) 2:3 B) 3:2
C) 5:3 D) 3:5
Correct Answer: B) 3:2
Explanation:
40A = 60B
A/B = 60/40
= 3/2
20. Three numbers are in ratio 2:3:5. Their sum is 300. Largest number is
A) 120 B) 140
C) 150 D) 180
Correct Answer: C) 150
Explanation:
Total ratio = 10
One part = 300/10 = 30
Largest = 5 × 30 = 150
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