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Day 142: SSC CGL Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 23 Sep 2025 S2 (same type asked 7 times) See all 7 of this type

    70
    If sin⁡A=45\sin A = \frac{4}{5} and A lies in 2nd quadrant, find the value of (1+tan⁡A)(1−tan⁡A)(1 + \tan A)(1 - \tan A).

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  2. Question 2

    Ratio, Proportion and Variation. Asked once: 19 Sep 2025 S3 (same type asked 7 times) See all 7 of this type

    51
    If (x+y):(x−y)=5:2(x+y):(x-y) = 5:2, find (x3+y3):(x3−y3)(x^3 + y^3) : (x^3 - y^3)

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  3. Question 3

    Triangles. Asked once: 24 Sep 2024 S1 (same type asked 7 times) See all 7 of this type

    61
    △ABC\triangle ABC and △PQR\triangle PQR are respectively congruent. If AB=8=PQAB = 8 = PQ, BC=10=QRBC = 10 = QR and ∠B=35∘\angle B = 35^\circ, then what is the value of ∠P+∠C\angle P + \angle C?

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  4. Question 4

    Mensuration 3D. Asked once: 18 Sep 2025 S2 (same type asked 7 times) See all 7 of this type

    61
    Two hemispheres of radii 2 cm and 4 cm respectively are melted and recast into another hemisphere. What is the approximate total surface area of the newly formed hemisphere?

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: 26 Sep 2024 S2 (same type asked 7 times) See all 7 of this type

    75
    In a Δ\DeltaABC, right angled at B if tan⁡C=3\tan C = \sqrt{3}, then find sin⁡2C+cos⁡2C1+cot⁡2C\frac{\sin^2 C + \cos^2 C}{1 + \cot^2 C}.

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