Ratio & Proportion · SSC CGL previous year questions

2025 111 questions

1. Q602025 · 26 Sept 2025 · Shift 3

   A 40-litres mixture of acid and water contains acid and water in the ratio 3 : 1. 8 litres of this mixture is removed and replaced with another solution of acid and water in the ratio 1 : 3. What is the final ratio of acid to water in the resulting mixture?

   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
   Show answer

   Answer: B

2. Q622025 · 26 Sept 2025 · Shift 3

   The volumes of two right circular cylinders have a ratio of . If the radii of these cylinders are in the ratio of , what is the ratio of their heights?

   
   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
   Show answer

   Answer: D

3. Q602025 · 25 Sept 2025 · Shift 1

   A regular triangle and a regular hexagon have equal areas. What is the ratio of their sides?

   
   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
   Show answer

   Answer: C

4. Q572025 · 25 Sept 2025 · Shift 2

   The surface area of a cuboid is , and its dimensions are in the ratio . Find its volume.

   
   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
   Show answer

   Answer: B

5. Q572025 · 24 Sept 2025 · Shift 1

   What is the ratio of the interior angle of a regular hexagon to the interior angle of a regular 12-sided polygon (dodecagon)?

   1. A.4:7
   2. B.3:7
   3. C.4:5
   4. D.3:5
   Show answer

   Answer: C

6. Q592025 · 24 Sept 2025 · Shift 1

   Two numbers are in the ratio 5:7. If 9 is added to each, the new ratio becomes 8:11. What are the original numbers?

   1. A.135 and 189
   2. B.150 and 210
   3. C.120 and 168
   4. D.180 and 252
   Show answer

   Answer: A

7. Q602025 · 24 Sept 2025 · Shift 1

   A:B = 3:4, B:C = 6:7, C:D = 14:15. What is the ratio A:D?

   1. A.3:5
   2. B.9:16
   3. C.7:20
   4. D.9:25
   Show answer

   Answer: A

8. Q652025 · 24 Sept 2025 · Shift 1

   In a quadrilateral ABCD, angles A, B, C are in the ratio 1:2:3. If angle D = 120°, what is angle A?

   1. A.60°
   2. B.64°
   3. C.40°
   4. D.50°
   Show answer

   Answer: C

9. Q562025 · 24 Sept 2025 · Shift 2

   'A', 'B', and 'C' formed a consulting firm. Their capital investments were Rs. 6,00,000, Rs. 4,00,000, and Rs. 5,00,000, respectively. After 3 months, 'A' withdrew Rs. 1,00,000, and 'B' added Rs. 1,00,000. The partnership lasted for 9 months. What was the ratio of their effective capital contributions?

   1. A.16:14:15
   2. B.16:15:14
   3. C.14:15:16
   4. D.14:16:15
   Show answer

   Answer: A

10. Q642025 · 24 Sept 2025 · Shift 2

    A triangular storage prism has a base shaped like a right triangle with side lengths in the ratio 5:12:13. If the total perimeter of the base is 60 cm and the height of the prism is 8 cm, calculate the lateral surface area of the prism.

    1. A.360 cm2
    2. B.300 cm2
    3. C.480 cm2
    4. D.400 cm2
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    Answer: C

11. Q602025 · 24 Sept 2025 · Shift 3

    A box has 120 pencils in red, blue, and black in the ratio 2:3:5. If 10 red and 20 black pencils are removed, what is the new ratio of red to black pencils?

    1. A.1:2
    2. B.3:5
    3. C.13:15
    4. D.7:20
    Show answer

    Answer: D

12. Q612025 · 24 Sept 2025 · Shift 3

    Two similar hexagons have their perimeters in the ratio 5:7. If the smaller hexagon has an area of 75 cm², what is the area of the larger hexagon?

    1. A.147 cm²
    2. B.125 cm²
    3. C.130 cm²
    4. D.159 cm²
    Show answer

    Answer: A

13. Q702025 · 24 Sept 2025 · Shift 3

    A 30-litre mixture of oil and kerosene contains oil and kerosene in the ratio 2:1. Some quantity of kerosene is added, changing the ratio to 1:2. What is the quantity of kerosene added?

    1. A.30 L
    2. B.40 L
    3. C.35 L
    4. D.45 L
    Show answer

    Answer: A

14. Q572025 · 23 Sept 2025 · Shift 1

    A square of side 10 cm has a smaller square (of side 4 cm) removed from one side. What is the ratio of the remaining area to the original?

    1. A.22:26
    2. B.21:25
    3. C.23:31
    4. D.24:25
    Show answer

    Answer: B

15. Q512025 · 23 Sept 2025 · Shift 2

    The number of students in two sections A and B having different heights is shown in the table given below: Height (in metres) Section A Section B 1.55 6 5 1.60 10 0 1.62 14 15 1.65 16 11 1.68 9 8 1.71 7 6 1.75 5 4 What is the ratio of the number of students with a height of 1.62 metres in Section A to the total number of students in Section A?

    
    1. A.14:67
    2. B.14:62
    3. C.1:4
    4. D.7:33
    Show answer

    Answer: A

16. Q612025 · 23 Sept 2025 · Shift 2

    A 50-liter solution contains acid and water in the ratio 3:2. How much water must be added to make the ratio 1:1?

    1. A.5 L
    2. B.10 L
    3. C.15 L
    4. D.20 L
    Show answer

    Answer: B

17. Q522025 · 23 Sept 2025 · Shift 3

    Which of these numbers is neither Rational nor Integer?

    1. A.-4
    2. B.1.5
    3. C.Square root of 2
    4. D.7
    Show answer

    Answer: C

18. Q592025 · 23 Sept 2025 · Shift 3

    The ratio of areas of two regular polygons with same number of sides is 4:9. What is the ratio of their side lengths?

    1. A.2:3
    2. B.4:5
    3. C.1 : √2
    4. D.2 : √5
    Show answer

    Answer: A

19. Q572025 · 22 Sept 2025 · Shift 1

    Two numbers are in the ratio 6:5. If the difference between them is 11, find the numbers.

    1. A.66 and 55
    2. B.60 and 49
    3. C.72 and 61
    4. D.88 and 77
    Show answer

    Answer: A

20. Q652025 · 22 Sept 2025 · Shift 1

    Two right prisms have the same height of 10 cm. One has a regular hexagonal base with side 6 cm, and the other has a square base with side 6 cm. What is the ratio of their volumes?

    
    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: B

21. Q662025 · 22 Sept 2025 · Shift 1

    A 45-litre mixture of kerosene and diesel contains kerosene and diesel in the ratio 4:5. How much diesel must be added to make the ratio 4:6?

    1. A.3 L
    2. B.5 L
    3. C.6 L
    4. D.7.5 L
    Show answer

    Answer: B

22. Q692025 · 22 Sept 2025 · Shift 1

    In a triangle ABC, side BC is extended to a point D. The exterior angle at C is 105°. The interior angles at A and B are in the ratio 2:5. What is the measure of the largest interior angle of the triangle?

    1. A.30°
    2. B.75°
    3. C.105°
    4. D.15°
    Show answer

    Answer: B

23. Q602025 · 22 Sept 2025 · Shift 2

    The weights of three friends are in the ratio 7:8:9. If each gains 5 kg, the new ratio becomes 12:13:14. What is the original weight of the heaviest friend?

    1. A.5 kg
    2. B.7 kg
    3. C.9 kg
    4. D.11 kg
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    Answer: C

24. Q612025 · 22 Sept 2025 · Shift 2

    A triangular field has side lengths in the ratio 2:3:4 and perimeter 72 m. What is the area?

    
    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: B

25. Q662025 · 22 Sept 2025 · Shift 2

    A trader bought 5 varieties of rice whose weights are in the ratio 2:3:4:5:6. Their respective prices per kg are Rs. 40, Rs. 42, Rs. 45, Rs. 48, and Rs. 50. What is the average cost per kg of the mixture?

    
    1. A.Rs. 46.8
    2. B.Rs. 44.1
    3. C.Rs. 44.8
    4. D.Rs. 46.3 m m m m
    Show answer

    Answer: D