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Day 5: SSC CGL Tier II Quant

5 questions. Try each one first, then open its answer.

  1. Question 1

    Averages. This type asked 3 times: 2 Mar 2023 Tier II, 7 Mar 2023 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 3 of this type

    29
    The weekly expenditure (in dollars) of 5 families on groceries is: Family A = 250, Family B = 400, Family C = 350, Family D = 500, Family E = 300. Determine: (i) Average expenditure, (ii) Family spending above average, (iii) Difference between highest and lowest expenditure.

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  2. Question 2

    Linear Equations. 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

    Ratio, Proportion and Variation. This type asked 3 times: 15 Nov 2020 Tier II, 8 Aug 2022 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 3 of this type

    16
    A, B, and C invest in a business in the ratio 2:3:5. After 4 months, A increases his capital by 50%, B decreases his capital by 13\frac{1}{3}, and C leaves the capital unchanged. At the end of the year, if the total profit is Rs. 33,000, find the share of B.

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  4. Question 4

    Ratio, Proportion and Variation. This type asked 3 times: 3 Mar 2023 Tier II, 18 Jan 2025 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 3 of this type

    28
    A sum of Rs. 4800 is divided among A, B, and C in the ratio 3:4:53 : 4 : 5. The share of B is how much more than that of A?

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  5. Question 5

    Trigonometric Ratios and Identities. This type asked 3 times: 15 Nov 2020 Tier II, 20 Jan 2025 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 3 of this type

    30
    If sin⁡θx=cos⁡θy\frac{\sin \theta}{x} = \frac{\cos \theta}{y}, then sin⁡θ−cos⁡θ\sin \theta - \cos \theta is:

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