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Day 28: SSC CGL Tier II Quant

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

  1. Question 1

    Ratio, Proportion and Variation. This type asked 2 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II. This one: 3 Feb 2022 Tier II See all 2 of this type

    98
    Mixture A contains chocolate and milk in the ratio 4 : 3 and mixture B contains chocolate and milk in the ratio 5 : 2. A and B are taken in the ratio 5 : 6 and mixed to form a new mixture. The percentage of chocolate in the new mixture is closest to:

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  2. Question 2

    Ratio, Proportion and Variation. This type asked 2 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II. This one: 3 Feb 2022 Tier II See all 2 of this type

    5
    The ratio of the incomes of A and B in 2020 was 5 : 4. The ratios of their individual incomes in 2020 and 2021 were 4 : 5 and 2 : 3, respectively. If the total income of A and B in 2021 was ₹7,05,600, then what was the income (in ₹) of B in 2021?

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  3. Question 3

    Surds, Indices and Simplification. This type asked 2 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II. This one: 3 Feb 2022 Tier II See all 2 of this type

    59
    If 1+32−1−32=c\sqrt{1 + \frac{\sqrt{3}}{2}} - \sqrt{1 - \frac{\sqrt{3}}{2}} = c, then the value of c is:

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  4. Question 4

    Triangles. This type asked 2 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II. This one: 3 Feb 2022 Tier II See all 2 of this type

    96
    In △PQR\triangle PQR, PQ = PR and S is a point on QR such that ∠PSQ=96∘+∠QPS\angle PSQ = 96^\circ + \angle QPS and ∠QPR=132∘\angle QPR = 132^\circ. What is the measure of ∠PSR\angle PSR?

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  5. Question 5

    Trigonometric Ratios and Identities. This type asked 2 times: 15 Nov 2020 Tier II, 3 Feb 2022 Tier II. This one: 3 Feb 2022 Tier II See all 2 of this type

    32
    The expression tan⁡6θ−sec⁡6θ+3sec⁡2θtan⁡2θtan⁡2θ+cot⁡2θ+2\frac{\tan^6\theta - \sec^6\theta + 3\sec^2\theta\tan^2\theta}{\tan^2\theta + \cot^2\theta + 2}, 0∘<θ<90∘0^\circ < \theta < 90^\circ, is equal to:

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