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Day 254: SSC CGL Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 17 Sep 2025 S3 (same type asked 7 times) See all 7 of this type

    64
    If sin⁡A=35\sin A = \frac{3}{5} and A lies in the second quadrant, find the value of (sin⁡A+cos⁡A)2(\sin A + \cos A)^2.

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  2. Question 2

    Ratio, Proportion and Variation. Asked once: 17 Jul 2023 S4 (same type asked 7 times) See all 7 of this type

    59
    What is the value of XY\frac{X}{Y} if X−5YX+5Y=713\frac{X - 5Y}{X + 5Y} = \frac{7}{13}.

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  3. Question 3

    Triangles. Asked once: 10 Sep 2024 S3 (same type asked 7 times) See all 7 of this type

    55
    If △PQR≅△MON\triangle PQR \cong \triangle MON such that ∠PQR=82∘\angle PQR = 82^\circ,∠QRP=47∘\angle QRP = 47^\circ,∠RPQ=51∘\angle RPQ = 51^\circ,∠MON=(5y−8)∘\angle MON = (5y - 8)^\circ,QR = 24 and ON = 3x + y,then find (x + y).

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  4. Question 4

    Mensuration 3D. Asked once: 25 Jul 2023 S1 (same type asked 7 times) See all 7 of this type

    54
    A metallic cube has each of its side of length 12 cm. It is melted and recast into three small cubes. Out of these cubes, two have their sides as 6 cm and 8 cm, respectively. The length of each side of the third cube is:

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: 17 Sep 2024 S1 (same type asked 7 times) See all 7 of this type

    72
    In a right angle Δ\DeltaABC, ∠B=90∘\angle B = 90^\circ, if tan⁡A=1\tan A = 1, then 4sin⁡Acos⁡A4 \sin A \cos A =_________________.

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