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Ratio, Proportion and Variation

SSC CGL Quant. Try each one first, then open its answer.

Top 10 SSC CGL PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 14 times: 14 Jul 2023 S2, 18 Jul 2023 S2, 20 Jul 2023 S2, 25 Jul 2023 S4, 9 Sep 2024 S3, 11 Sep 2024 S2, 11 Sep 2024 S3, 12 Sep 2024 S1, 12 Sep 2024 S3, 13 Sep 2024 S3, 18 Sep 2024 S1, 18 Sep 2024 S2, 23 Sep 2024 S1, 24 Sep 2024 S2. This one: 24 Sep 2024 S2 See all 14 of this type

    58
    If the mean proportional between p and q is 12, then the possible values of p and q, respectively, are:

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  2. Question 2

    This type asked 10 times: 14 Jul 2023 S4, 25 Jul 2023 S4, 23 Sep 2024 S1, 26 Sep 2024 S2, 12 Sep 2025 S1, 14 Sep 2025 S1, 22 Sep 2025 S1, 22 Sep 2025 S3, 23 Sep 2025 S2, 24 Sep 2025 S3. This one: 24 Sep 2025 S3 See all 10 of this type

    70
    A 30-litre mixture of oil and kerosene contains oil and kerosene in the ratio 2:12:1. Some quantity of kerosene is added, changing the ratio to 1:21:2. What is the quantity of kerosene added?

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  3. Question 3

    This type asked 10 times: 10 Sep 2024 S2, 13 Sep 2024 S1, 17 Sep 2024 S1, 18 Sep 2024 S3, 25 Sep 2024 S2, 14 Sep 2025 S2, 15 Sep 2025 S1, 16 Sep 2025 S1, 17 Sep 2025 S1, 24 Sep 2025 S1. This one: 24 Sep 2025 S1 See all 10 of this type

    60
    A:B=3:4A:B = 3:4, B:C=6:7B:C = 6:7, C:D=14:15C:D = 14:15. What is the ratio A:DA:D?

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  4. Question 4

    This type asked 10 times: 20 Jul 2023 S4, 12 Sep 2025 S1, 12 Sep 2025 S3, 14 Sep 2025 S3, 15 Sep 2025 S3, 16 Sep 2025 S1, 16 Sep 2025 S2, 17 Sep 2025 S2, 21 Sep 2025 S1, 23 Sep 2025 S2. This one: 23 Sep 2025 S2 See all 10 of this type

    57
    Partners X and Y invest Rs. 60,000 and Rs. 90,000 respectively. X works for 6 months, Y for 4 months. Profit is divided based on capital * time. Find their profit ratio.

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  5. Question 5

    This type asked 10 times: 17 Jul 2023 S3, 21 Jul 2023 S2, 25 Jul 2023 S3, 27 Jul 2023 S1, 13 Sep 2024 S2, 19 Sep 2024 S1, 24 Sep 2024 S2, 13 Sep 2025 S2, 13 Sep 2025 S3, 15 Sep 2025 S3. This one: 15 Sep 2025 S3 See all 10 of this type

    65
    A shopkeeper mixes two qualities of tea. The first quality costs ₹150 per kg and is mixed with the second quality in the ratio 4:54 : 5. If the mixture is sold at ₹130 per kg (at no profit, no loss), what is the cost per kg of the second quality of tea?

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  6. Question 6

    This type asked 8 times: 13 Sep 2025 S2, 15 Sep 2025 S1, 20 Sep 2025 S1, 21 Sep 2025 S2, 24 Sep 2025 S1, 26 Sep 2025 S1, 26 Sep 2025 S2, 26 Sep 2025 S3. This one: 26 Sep 2025 S3 See all 8 of this type

    60
    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?

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  7. Question 7

    This type asked 8 times: 13 Sep 2025 S2, 13 Sep 2025 S3, 14 Sep 2025 S2, 14 Sep 2025 S3, 15 Sep 2025 S3, 22 Sep 2025 S3, 23 Sep 2025 S1, 24 Sep 2025 S2. This one: 24 Sep 2025 S2 See all 8 of this type

    56
    '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?

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  8. Question 8

    This type asked 8 times: 12 Sep 2024 S2, 17 Sep 2024 S1, 17 Sep 2024 S2, 19 Sep 2024 S3, 12 Sep 2025 S2, 14 Sep 2025 S3, 17 Sep 2025 S2, 24 Sep 2025 S1. This one: 24 Sep 2025 S1 See all 8 of this type

    59
    Two numbers are in the ratio 5:75:7. If 9 is added to each, the new ratio becomes 8:118:11. What are the original numbers?

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  9. Question 9

    This type asked 7 times: 17 Jul 2023 S4, 24 Jul 2023 S3, 26 Sep 2024 S2, 15 Sep 2025 S2, 16 Sep 2025 S2, 19 Sep 2025 S3, 22 Sep 2025 S3. This one: 22 Sep 2025 S3 See all 7 of this type

    58
    If x:y=2:5x : y = 2 : 5, then what is (2x+3y):(x+y)(2x + 3y) : (x + y)?

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  10. Question 10

    This type asked 7 times: 24 Sep 2024 S1, 12 Sep 2025 S1, 12 Sep 2025 S3, 14 Sep 2025 S1, 15 Sep 2025 S2, 16 Sep 2025 S2, 21 Sep 2025 S3. This one: 21 Sep 2025 S3 See all 7 of this type

    67
    A seller mixes two varieties of rice costing Rs. 40/kg and Rs. 60/kg in a certain ratio and sells the mixture at Rs. 55/kg, gaining 10%. What is the ratio in which the two types are mixed?

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