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Linear Equations

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 9 times: 10 Sep 2024 S3, 12 Sep 2024 S2, 12 Sep 2024 S3, 13 Sep 2024 S2, 17 Sep 2024 S1, 17 Sep 2024 S2, 24 Sep 2024 S2, 25 Sep 2024 S1, 25 Sep 2024 S2. This one: 25 Sep 2024 S2 See all 9 of this type

    52
    The relation between K1K_1 and K2K_2 for which the system of linear equations K1x+3y=8K_1x + 3y = 8 and 4x+K2y=164x + K_2y = 16 represents coincident lines, is:

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  2. Question 2

    This type asked 9 times: 14 Jul 2023 S2, 19 Jul 2023 S2, 19 Jul 2023 S3, 9 Sep 2024 S2, 19 Sep 2024 S2, 23 Sep 2024 S1, 24 Sep 2024 S1, 24 Sep 2024 S2, 24 Sep 2024 S3. This one: 24 Sep 2024 S3 See all 9 of this type

    56
    One year ago, the age of B was twice that of A. After 9 years, if the ratio of the ages of B and A would be 4:34 : 3, then the sum of their present ages is _____ years.

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  3. Question 3

    Asked 5 times: 10 Sep 2024 S2*, 11 Sep 2024 S1*, 12 Sep 2024 S3*, 13 Sep 2024 S1*, 26 Sep 2024 S3 (* = numbers or wording changed that year) See all 5 times it was asked

    60
    Find the value of the unknowns: x+1.5y+2z=5.5x + 1.5y + 2z = 5.5 x+5y+7z=15x + 5y + 7z = 15 3x+11y+13z=253x + 11y + 13z = 25

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  4. Question 4

    Asked 4 times: 12 Sep 2025 S2*, 13 Sep 2025 S3*, 14 Sep 2025 S2*, 14 Sep 2025 S3 (* = numbers or wording changed that year) See all 4 times it was asked

    58
    A stationery shop ordered 6 dozen red pens and some additional dozen blue pens. The price of the red pens per dozen was three times that of the blue ones. When the order was delivered, it was found that the number of dozens of the two colours had been interchanged. This increased the bill by 40%40\%. Find the ratio of the number of dozens of red pens to the number of dozens of blue pens in the original order.

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  5. Question 5

    This type asked 4 times: 11 Sep 2024 S2, 24 Sep 2024 S1, 25 Sep 2024 S3, 26 Sep 2024 S1. This one: 26 Sep 2024 S1 See all 4 of this type

    56
    Given a linear equation in two variables: 5x+7y−8=05x + 7y - 8 = 0, which of the following linear equations, along with the given equation, forms a system of linear equations having no solution?

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  6. Question 6

    This type asked 3 times: 19 Jul 2023 S3, 15 Sep 2025 S2, 20 Sep 2025 S1. This one: 20 Sep 2025 S1 See all 3 of this type

    68
    Find the solution to the system: y=3x−4y = 3x - 4 and y=−x+2y = -x + 2.

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  7. Question 7

    This type asked 3 times: 18 Jul 2023 S2, 13 Sep 2024 S3, 23 Sep 2024 S2. This one: 23 Sep 2024 S2 See all 3 of this type

    74
    Ten chairs and six tables together cost ₹5,140; three chairs and two tables together cost ₹1,635. The cost of 1 chair and 1 table is:

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  8. Question 8

    This type asked 3 times: 9 Sep 2024 S1, 12 Sep 2024 S1, 13 Sep 2024 S1. This one: 13 Sep 2024 S1 See all 3 of this type

    60
    At a cafe, Rama bought drinks for her 7 friends at ₹240. Some of them wanted coffee, while others wanted black tea. A regular cup of coffee cost ₹40 and a regular cup of black tea cost ₹ 30. How many cups of tea did she purchase?

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  9. Question 9

    Asked 2 times: 12 Sep 2024 S2*, 25 Sep 2024 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    71
    Find the values of 'a' and 'b' for which the system of equations 3x+y=3 and (a-b)x+ (a+b)y=3a+b-3 has infinite solutions.

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  10. Question 10

    Asked 2 times: 17 Sep 2024 S2*, 24 Sep 2024 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    61
    For what value of K does the following system have an infinite number of solutions? x + 2Ky - 8 = 0 2x - y - 16 = 0

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