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Day 218: SSC CGL Quant

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

  1. Question 1

    Simple and Compound Interest. Asked once: 18 Jul 2023 S1 (same type asked 6 times) See all 6 of this type

    65
    If the simple interest for 5 years is equal to 25% of the principal, then the interest will be equal to the principal after _______ years.

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  2. Question 2

    Circles. Asked once: 9 Sep 2024 S2 (same type asked 6 times) See all 6 of this type

    58
    Let C be a circle with centre O and P be an external point to C. Let PA and PB be two tangents to C with A and B being the points of tangency, respectively. If PA and PB are inclined to each other at an angle of 60∘60^\circ, then find ∠POA\angle POA.

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: 14 Jul 2023 S2 (same type asked 6 times) See all 6 of this type

    63
    What is the value of a3+b3+c3a^3 + b^3 + c^3 if (a+b+c)=0(a + b + c) = 0?

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  4. Question 4

    Mensuration 2D. Asked once: 13 Sep 2025 S2 (same type asked 6 times) See all 6 of this type

    72
    A circular pond is surrounded by a path 2 m wide. If the total area (pond + path) is 616 m2\text{m}^2 and the pond area is 452.16 m2\text{m}^2, what is the radius of the pond?

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: 9 Sep 2024 S3 (same type asked 6 times) See all 6 of this type

    64
    If 7sin⁡θ+4cos⁡θ9sin⁡θ−2cos⁡θ=54\frac{7\sin\theta + 4\cos\theta}{9\sin\theta - 2\cos\theta} = \frac{5}{4}, then the value of tan⁡2θ+5tan⁡2θ−5\frac{\tan^2\theta + 5}{\tan^2\theta - 5} is:

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