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Day 106: SSC CGL Tier II Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 29 Jan 2022 Tier II

    22
    If 1+2tan⁡2θ+2sin⁡θsec⁡2θ=ab1 + 2\tan^2\theta + 2\sin\theta\sec^2\theta = \frac{a}{b}, 0∘<θ<90∘0^\circ < \theta < 90^\circ, then a+ba−b=?\frac{a + b}{a - b} = ?

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  2. Question 2

    Algebraic Identities and Simplification. Asked once: 15 Nov 2020 Tier II

    32
    If 3x2−5x+1=03x^2 - 5x + 1 = 0, then the value of (x2+19x2)\left(x^2 + \frac{1}{9x^2}\right) is:

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  3. Question 3

    Averages. Asked once: 15 Nov 2020 Tier II

    68
    The average of three numbers a, b and c is 2 more than c. The average of a and b is 48. If d is 10 less than c, then the average of c and d is:

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  4. Question 4

    Circles. Asked once: 29 Jan 2022 Tier II

    84
    A circle is inscribed in ΔPQR\Delta PQR touching the sides QRQR, PRPR and PQPQ at the points SS, UU and TT, respectively. PQ=(QR+5)PQ = (QR + 5) cm, PQ=(PR+2)PQ = (PR + 2) cm. If the perimeter of ΔPQR\Delta PQR is 32 cm, then PRPR is equal to:

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  5. Question 5

    Data Interpretation. Asked once: 3 Feb 2022 Tier II

    44
    Study the given pie charts and answer the question that follows. If the ratio of the number of boys to that of the girls who passed from institute A is 5 : 6, and 40% of the students who passed from institute D are boys, then the ratio of the number of boys who passed from institute A to that of boys who passed from institute D is:

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