SSC CGL Ratio and Proportion Questions
18 questions on Ratio and Proportion for SSC CGL, including questions from 2024 papers. Each comes with the correct answer and a worked explanation.
- Questions
- 18
- Easy
- 18
Ratio and Proportion questions with solutions
Two numbers are in the ratio 3 : 7 and their sum is 140. What is the larger number?
- (A)56
- (B)98
- (C)112
- (D)42
Show answer and explanation
Correct answer: (B) 98
Let the numbers be 3x and 7x. Then 3x + 7x = 140, so 10x = 140 and x = 14. The larger number is 7x = 7 × 14 = 98.
Shortcut: Larger number = 7/10 of 140.
Two numbers are in the ratio 2 : 5 and their sum is 84. What is the larger number?
- (A)36
- (B)24
- (C)72
- (D)60
Show answer and explanation
Correct answer: (D) 60
Let the numbers be 2x and 5x. Then 2x + 5x = 84, so 7x = 84 and x = 12. The larger number is 5x = 5 × 12 = 60.
Shortcut: Larger number = 5/7 of 84.
Two numbers are in the ratio 5 : 8 and their sum is 156. What is the larger number?
- (A)36
- (B)96
- (C)60
- (D)151
Show answer and explanation
Correct answer: (B) 96
Let the numbers be 5x and 8x. Then 5x + 8x = 156, so 13x = 156 and x = 12. The larger number is 8x = 8 × 12 = 96.
Shortcut: Larger number = 8/13 of 156.
Two numbers are in the ratio 3 : 7 and their sum is 100. What is the larger number?
- (A)97
- (B)30
- (C)80
- (D)70
Show answer and explanation
Correct answer: (D) 70
Let the numbers be 3x and 7x. Then 3x + 7x = 100, so 10x = 100 and x = 10. The larger number is 7x = 7 × 10 = 70.
Shortcut: Larger number = 7/10 of 100.
Two numbers are in the ratio 3 : 4 and their sum is 105. What is the larger number?
- (A)75
- (B)60
- (C)45
- (D)102
Show answer and explanation
Correct answer: (B) 60
Let the numbers be 3x and 4x. Then 3x + 4x = 105, so 7x = 105 and x = 15. The larger number is 4x = 4 × 15 = 60.
Shortcut: Larger number = 4/7 of 105.
Two numbers are in the ratio 2 : 5 and their sum is 91. What is the larger number?
- (A)89
- (B)65
- (C)78
- (D)39
Show answer and explanation
Correct answer: (B) 65
Let the numbers be 2x and 5x. Then 2x + 5x = 91, so 7x = 91 and x = 13. The larger number is 5x = 5 × 13 = 65.
Shortcut: Larger number = 5/7 of 91.
Two numbers are in the ratio 4 : 5 and their sum is 54. What is the larger number?
- (A)30
- (B)50
- (C)24
- (D)36
Show answer and explanation
Correct answer: (A) 30
Let the numbers be 4x and 5x. Then 4x + 5x = 54, so 9x = 54 and x = 6. The larger number is 5x = 5 × 6 = 30.
Shortcut: Larger number = 5/9 of 54.
Two numbers are in the ratio 2 : 3 and their sum is 65. What is the larger number?
- (A)13
- (B)26
- (C)39
- (D)63
Show answer and explanation
Correct answer: (C) 39
Let the numbers be 2x and 3x. Then 2x + 3x = 65, so 5x = 65 and x = 13. The larger number is 3x = 3 × 13 = 39.
Shortcut: Larger number = 3/5 of 65.
Two numbers are in the ratio 3 : 5 and their sum is 48. What is the larger number?
- (A)12
- (B)36
- (C)45
- (D)30
Show answer and explanation
Correct answer: (D) 30
Let the numbers be 3x and 5x. Then 3x + 5x = 48, so 8x = 48 and x = 6. The larger number is 5x = 5 × 6 = 30.
Shortcut: Larger number = 5/8 of 48.
Two numbers are in the ratio 5 : 7 and their sum is 168. What is the larger number?
- (A)98
- (B)28
- (C)112
- (D)70
Show answer and explanation
Correct answer: (A) 98
Let the numbers be 5x and 7x. Then 5x + 7x = 168, so 12x = 168 and x = 14. The larger number is 7x = 7 × 14 = 98.
Shortcut: Larger number = 7/12 of 168.
Two numbers are in the ratio 5 : 7 and their sum is 144. What is the larger number?
- (A)24
- (B)60
- (C)96
- (D)84
Show answer and explanation
Correct answer: (D) 84
Let the numbers be 5x and 7x. Then 5x + 7x = 144, so 12x = 144 and x = 12. The larger number is 7x = 7 × 12 = 84.
Shortcut: Larger number = 7/12 of 144.
Two numbers are in the ratio 4 : 5 and their sum is 45. What is the larger number?
- (A)30
- (B)25
- (C)41
- (D)5
Show answer and explanation
Correct answer: (B) 25
Let the numbers be 4x and 5x. Then 4x + 5x = 45, so 9x = 45 and x = 5. The larger number is 5x = 5 × 5 = 25.
Shortcut: Larger number = 5/9 of 45.
Two numbers are in the ratio 4 : 7 and their sum is 33. What is the larger number?
- (A)29
- (B)24
- (C)12
- (D)21
Show answer and explanation
Correct answer: (D) 21
Let the numbers be 4x and 7x. Then 4x + 7x = 33, so 11x = 33 and x = 3. The larger number is 7x = 7 × 3 = 21.
Shortcut: Larger number = 7/11 of 33.
Two numbers are in the ratio 4 : 7 and their sum is 77. What is the larger number?
- (A)73
- (B)49
- (C)28
- (D)56
Show answer and explanation
Correct answer: (B) 49
Let the numbers be 4x and 7x. Then 4x + 7x = 77, so 11x = 77 and x = 7. The larger number is 7x = 7 × 7 = 49.
Shortcut: Larger number = 7/11 of 77.
Two numbers are in the ratio 5 : 8 and their sum is 104. What is the larger number?
- (A)24
- (B)72
- (C)40
- (D)64
Show answer and explanation
Correct answer: (D) 64
Let the numbers be 5x and 8x. Then 5x + 8x = 104, so 13x = 104 and x = 8. The larger number is 8x = 8 × 8 = 64.
Shortcut: Larger number = 8/13 of 104.
Showing 15 of 18 questions. Start a practice set above to work through the rest.
Frequently asked questions
How many SSC CGL Ratio and Proportion questions can I practise here?
18 questions — 18 easy. 15 are shown on this page with answers and explanations, and the practice set draws from all of them.
How should I practise Ratio and Proportion for SSC CGL?
Read through a few solved questions first to see the method, then take a timed practice set. Afterwards, check which questions you got wrong or spent longest on and redo those before moving on.