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Day 368: SSC CGL Quant

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

  1. Question 1

    Surds, Indices and Simplification. Asked once: 24 Jul 2023 S1

    64
    What is the value of the given expression? 4a+4−5×4a+215×4a−22×4a\frac{4^{a + 4} - 5 \times 4^{a + 2}}{15 \times 4^a - 2^2 \times 4^a}

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  2. Question 2

    Time and Work. Asked once: 25 Jul 2023 S2

    55
    P and Q together complete a job in 4254\frac{2}{5} days. R and S complete the same job in 4894\frac{8}{9} days. If P, Q, R and S work together, how many days do they need to complete the same job?

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  3. Question 3

    Time, Speed and Distance. Asked once: 19 Jul 2023 S4

    57
    Ashok runs 2232\frac{2}{3} times as fast as Bharat. If Ashok gives Bharat a head start of 160m, then how far must the winning post be so that Ashok and Bharat can reach it at the same time?

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  4. Question 4

    Triangles. Asked once: 18 Sep 2024 S2

    56
    In a ΔPQR\Delta PQR, PQ = PR and PT is perpendicular to QR. If PQ = 17 cm, PT = 15 cm, then what is the measure (in cm) of QR?

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: 23 Sep 2024 S2

    57
    The value of 1cosec θ−cot⁡θ−1sin⁡θ\frac{1}{\text{cosec}\,\theta - \cot\theta} - \frac{1}{\sin\theta} is equal to:

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