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Day 30: SSC CGL Tier II Quant

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

  1. Question 1

    Triangles. This type asked 2 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II. This one: 29 Jan 2022 Tier II See all 2 of this type

    65
    In ΔABC\Delta ABC, ∠B=78∘\angle B = 78^\circ, ADAD is a bisector of ∠A\angle A meeting BCBC at DD, and AE⊥BCAE \perp BC at EE. If ∠DAE=24∘\angle DAE = 24^\circ, then the measure of ∠ACB\angle ACB is:

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  2. Question 2

    Algebraic Identities and Simplification. Asked once: 2 Mar 2023 Tier II (same type asked 6 times) See all 6 of this type

    30
    If 1x+x=4\frac{1}{x} + x = 4, then find 1x2+x2\frac{1}{x^2} + x^2.

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  3. Question 3

    Simple and Compound Interest. Asked once: 26 Oct 2023 Tier II (same type asked 6 times) See all 6 of this type

    23
    The compound interest on ₹10,000 at 20% per annum is ₹4,641. If the compounding is done half-yearly, then for how many years was the sum invested?

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: 2 Mar 2023 Tier II (same type asked 6 times) See all 6 of this type

    18
    Evaluate the following. sin⁡25∘sin⁡65∘−cos⁡25∘cos⁡65∘\sin 25^\circ \sin 65^\circ - \cos 25^\circ \cos 65^\circ.

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  5. Question 5

    Number System. Asked once: 7 Mar 2023 Tier II (same type asked 5 times) See all 5 of this type

    20
    Which of the following numbers is divisible by 11?

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