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Day 64: SSC CGL Tier II Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 3 Feb 2022 Tier II (same type asked 2 times) See all 2 of this type

    66
    The expression (1−sin⁡θ+cos⁡θ)2(1−cos⁡θ)sec⁡3θcosec⁡2θ(sec⁡θ−tan⁡θ)(tan⁡θ+cot⁡θ)\frac{(1 - \sin\theta + \cos\theta)^2(1 - \cos\theta)\sec^3\theta\operatorname{cosec}^2\theta}{(\sec\theta - \tan\theta)(\tan\theta + \cot\theta)}, 0∘<θ<90∘0^\circ < \theta < 90^\circ, is equal to:

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  2. Question 2

    Percentage, Profit and Loss. Asked once: 29 Jan 2022 Tier II (same type asked 2 times) See all 2 of this type

    51
    If an article is sold for ₹355, there is a loss of 29%. At what price (in ₹) should it be sold to gain 31% of profit?

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  3. Question 3

    Ratio, Proportion and Variation. Asked once: 29 Jan 2022 Tier II (same type asked 2 times) See all 2 of this type

    76
    Alloy A contains metals x and y only in the ratio 5 : 2, while alloy B contains them in the ratio 3 : 4. Alloy C is prepared by mixing alloys A and B in the ratio 4 : 5. The percentage of x in alloy C is:

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: 15 Nov 2020 Tier II (same type asked 2 times) See all 2 of this type

    54
    The value of cos⁡6θ+sin⁡6θ+3sin⁡2θcos⁡2θcosec θsec⁡θ(sin⁡θ+cos⁡θ−1)(sin⁡θ+cos⁡θ+1)\frac{\cos^6\theta + \sin^6\theta + 3\sin^2\theta\cos^2\theta}{\text{cosec}\,\theta\sec\theta(\sin\theta + \cos\theta - 1)(\sin\theta + \cos\theta + 1)} is:

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  5. Question 5

    Data Interpretation. Asked once: 15 Nov 2020 Tier II (same type asked 2 times) See all 2 of this type

    80
    Study the given graph and answer the question that follows. The number of employees in department B is what per cent of the total number of employees working in departments D and E?

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