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Linear Equations

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

Top 10 SSC CGL Tier II 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 4 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II, 3 Feb 2022 Tier II, 8 Aug 2022 Tier II. This one: 8 Aug 2022 Tier II See all 4 of this type

    77
    What is the solution of the following equations ? 2x+3y=122x + 3y = 12 and 3x−2y=53x - 2y = 5

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  2. Question 2

    This type asked 3 times: 2 Mar 2023 Tier II, 6 Mar 2023 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 3 of this type

    12
    If 3x - ky + 8 = 0 and 9x - 18y + 20 = 0 have no solution, find k.

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  3. Question 3

    This type asked 3 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II, 6 Mar 2023 Tier II. This one: 6 Mar 2023 Tier II See all 3 of this type

    27
    Six years ago, the ratio of ages of A to B was 7 : 5. After 4 years from now, the ratio of their ages will be 11 : 9. What is A's age at present?

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  4. Question 4

    Asked 2 times: 29 Jan 2022 Tier II*, 3 Feb 2022 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    49
    The graphs of the equations 7x+11y=37x + 11y = 3 and 8x+y=158x + y = 15 intersect at the point P, which also lies on the graph of the equation:

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  5. Question 5

    This type asked 2 times: 7 Mar 2023 Tier II, 26 Oct 2023 Tier II. This one: 26 Oct 2023 Tier II See all 2 of this type

    20
    The cost of 2 pencils and 3 pens is ₹55 and the cost of 7 pencils and 2 pens is ₹65. What is the total price (in ₹) of one pen and one pencil?

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  6. Question 6

    This type asked 2 times: 3 Mar 2023 Tier II, 26 Oct 2023 Tier II. This one: 26 Oct 2023 Tier II See all 2 of this type

    14
    At a certain time in a park, the number of heads and the number of legs of monkeys and human visitors were counted, and it was found that there were 54 heads and 148 legs. Find the number of monkeys in the park.

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  7. Question 7

    Asked once: 15 Nov 2020 Tier II (same type asked 4 times) See all 4 of this type

    97
    The graphs of the equations 3x−20y−2=03x - 20y - 2 = 0 and 11x−5y+61=011x - 5y + 61 = 0 intersect at P(a,b). What is the value of (a2+b2−ab)/(a2−b2+ab)(a^2 + b^2 - ab)/(a^2 - b^2 + ab)?

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  8. Question 8

    Asked once: 2 Mar 2023 Tier II (same type asked 3 times) See all 3 of this type

    22
    For what value of m will the system of equations 17x+my+102=017x+my+102=0 and 23x+299y+138=023x+299y+138=0 have infinite number of solutions?

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  9. Question 9

    Asked once: 29 Jan 2022 Tier II (same type asked 3 times) See all 3 of this type

    42
    Eight years ago, the ratio of ages of A and B was 5 : 4. The ratio of their present ages is 6 : 5. What will be the sum (in years) of the ages of A and B after 7 years from now?

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  10. Question 10

    Asked once: 7 Mar 2023 Tier II (same type asked 2 times) See all 2 of this type

    9
    If two LED TVs and one mobile phone cost ₹31,000, while two mobile phones and one LED TV cost ₹35,000, then the value of one mobile phone is:

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