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Day 72: SSC CGL Tier II Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 15 Nov 2020 Tier II (same type asked 3 times) See all 3 of this type

    94
    sin⁡θ[(1−tan⁡θ)tan⁡θ+sec⁡2θ](1−sin⁡θ)tan⁡θ(1+tan⁡θ)(sec⁡θ+tan⁡θ)\frac{\sin\theta[(1 - \tan\theta)\tan\theta + \sec^2\theta]}{(1 - \sin\theta)\tan\theta(1 + \tan\theta)(\sec\theta + \tan\theta)} is equal to:

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: 15 Nov 2020 Tier II (same type asked 6 times) See all 6 of this type

    39
    The value of 2sin⁡238∘sec⁡252∘+cos⁡64∘sin⁡26∘+sin⁡264∘tan⁡223∘+cot⁡223∘−sec⁡267∘−cosec267∘\frac{2\sin^2 38^\circ \sec^2 52^\circ + \cos 64^\circ \sin 26^\circ + \sin^2 64^\circ}{\tan^2 23^\circ + \cot^2 23^\circ - \sec^2 67^\circ - \text{cosec}^2 67^\circ} is:

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  3. Question 3

    Surds, Indices and Simplification. Asked once: 15 Nov 2020 Tier II (same type asked 4 times) See all 4 of this type

    21
    The value of [47 of 245×123−(312−216)]÷(315÷412 of 513)\left[\frac{4}{7} \text{ of } 2\frac{4}{5} \times 1\frac{2}{3} - \left(3\frac{1}{2} - 2\frac{1}{6}\right)\right] \div \left(3\frac{1}{5} \div 4\frac{1}{2} \text{ of } 5\frac{1}{3}\right) is:

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  4. Question 4

    Surds, Indices and Simplification. Asked once: 15 Nov 2020 Tier II (same type asked 4 times) See all 4 of this type

    1
    The value of 3÷18 of 3×6+21×6÷18−3÷2+3−3÷9 of 3×93 \div 18 \text{ of } 3 \times 6 + 21 \times 6 \div 18 - 3 \div 2 + 3 - 3 \div 9 \text{ of } 3 \times 9 is:

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  5. Question 5

    Algebraic Identities and Simplification. Asked once: 6 Mar 2023 Tier II

    19
    If 4x2+y2=404x^2 + y^2 = 40 and xy=6xy = 6, then find the value of 2x+y2x + y.

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