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Day 1: SSC CGL Tier II Quant

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

  1. Question 1

    Algebraic Identities and Simplification. This type asked 6 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II, 3 Feb 2022 Tier II, 8 Aug 2022 Tier II, 2 Mar 2023 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 6 of this type

    14
    If x+1x=23x + \frac{1}{x} = 2\sqrt{3}, then find the value of x3+1x3x^3 + \frac{1}{x^3}.

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  2. Question 2

    Simple and Compound Interest. This type asked 6 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II, 2 Mar 2023 Tier II, 6 Mar 2023 Tier II, 26 Oct 2023 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 6 of this type

    21
    At what rate of interest per annum will a sum of ₹15,625 amount to ₹19,683 in 1 year 6 months, if the interest is compounded half-yearly?

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  3. Question 3

    Trigonometric Ratios and Identities. This type asked 6 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II, 3 Feb 2022 Tier II, 8 Aug 2022 Tier II, 2 Mar 2023 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 6 of this type

    5
    What is the value of 32(cos⁡39sin⁡51)−sin⁡239∘+sin⁡251∘\frac{3}{2}\left(\frac{\cos 39}{\sin 51}\right) - \sqrt{\sin^2 39^\circ + \sin^2 51^\circ} ?

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  4. Question 4

    Number System. This type asked 5 times: 2 Mar 2023 Tier II, 3 Mar 2023 Tier II, 6 Mar 2023 Tier II, 7 Mar 2023 Tier II, 20 Jan 2025 Tier II. This one: 20 Jan 2025 Tier II See all 5 of this type

    4
    Which number among 38211, 38121, 32118, and 31128 is divisible by 24?

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  5. Question 5

    Trigonometric Ratios and Identities. This type asked 5 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II, 3 Feb 2022 Tier II, 8 Aug 2022 Tier II, 20 Jan 2025 Tier II. This one: 20 Jan 2025 Tier II See all 5 of this type

    6
    Let PQR be a right angled triangle, right-angled at R. Let PQ = 29 cm, QR = 21 cm and ∠Q=θ\angle Q = \theta. Find the value of cos⁡2θ−sin⁡2θ\cos^2\theta - \sin^2\theta.

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