PYQ Vault

Day 199: SSC CGL Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 14 Jul 2023 S4 (same type asked 2 times) See all 2 of this type

    71
    Simplify the following. sin⁡3α+cos⁡3αsin⁡α+cos⁡α\frac{\sin^3\alpha + \cos^3\alpha}{\sin\alpha + \cos\alpha}

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  2. Question 2

    Number System. Asked once: 17 Jul 2023 S3 (same type asked 2 times) See all 2 of this type

    60
    How many of the following numbers are divisible by 132? 660, 754, 924, 1452, 1526, 1980, 2045 and 2170

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  3. Question 3

    Time, Speed and Distance. Asked once: 19 Jul 2023 S1 (same type asked 2 times) See all 2 of this type

    60
    On day one, with speed v, R covers a distance x, in t time. On the next day, he covers a distance 2.5x in 0.75t time. What is his speed the next day?

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  4. Question 4

    Circles. Asked once: 21 Jul 2023 S1 (same type asked 2 times) See all 2 of this type

    67
    In the given figure, a circle is inscribed in ΔPQR\Delta PQR, such that it touches the sides PQ, QR and RP at points D, E, F, respectively. If the lengths of the sides PQ = 18 cm, QR = 13 cm and RP = 15 cm, then find the length of PD.

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: 18 Jul 2023 S1 (same type asked 2 times) See all 2 of this type

    74
    If tan⁡A2=x\tan \frac{A}{2} = x, then find x.

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