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Day 65: SSC CGL Tier II Quant

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

  1. Question 1

    Algebraic Identities and Simplification. Asked once: 3 Feb 2022 Tier II (same type asked 6 times) See all 6 of this type

    78
    If x+1x=3x + \frac{1}{x} = 3, x≠0x \ne 0, then the value of x7+1x7x^7 + \frac{1}{x^7} is:

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  2. Question 2

    Simple and Compound Interest. Asked once: 2 Mar 2023 Tier II (same type asked 6 times) See all 6 of this type

    8
    If interest be compounded half-yearly, then find the compound interest on ₹8,000 at the rate of 20% per annum for 1 year.

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: 8 Aug 2022 Tier II (same type asked 6 times) See all 6 of this type

    76
    What is the value of 3sin⁡58∘cos⁡32∘+3sin⁡42∘cos⁡48∘\frac{3\sin 58^\circ}{\cos 32^\circ} + \frac{3\sin 42^\circ}{\cos 48^\circ}?

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: 3 Feb 2022 Tier II (same type asked 5 times) See all 5 of this type

    19
    If cos⁡θ=1213\cos\theta = \frac{12}{13}, then the value of sin⁡θ(1−tan⁡θ)tan⁡θ(1+cosec θ)\frac{\sin\theta(1 - \tan\theta)}{\tan\theta(1 + \text{cosec}\,\theta)} is:

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  5. Question 5

    Mensuration 3D. Asked once: 29 Jan 2022 Tier II (same type asked 4 times) See all 4 of this type

    43
    The base of a right prism is a triangle with sides 16 cm, 30 cm and 34 cm. Its height is 32 cm. The lateral surface area (in cm2\text{cm}^2) and the volume (in cm3\text{cm}^3) are, respectively:

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