PYQ Vault

Day 280: SSC CGL Quant

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

  1. Question 1

    Algebraic Identities and Simplification. Asked once: 20 Jul 2023 S1 (same type asked 6 times) See all 6 of this type

    65
    Simplify the expression l2−m2(l+m)2\frac{l^2 - m^2}{(l + m)^2}, provided (l+m)≠0(l + m) \ne 0.

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  2. Question 2

    Algebraic Identities and Simplification. Asked once: 21 Jul 2023 S3 (same type asked 6 times) See all 6 of this type

    60
    If x and y are positive numbers such that x - y = 5 and xy = 150, then the value of (x + y) is:

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: 10 Sep 2024 S3 (same type asked 6 times) See all 6 of this type

    63
    3sin⁡58∘5cos⁡32∘+2cos⁡62∘5sin⁡28∘\frac{3\sin 58^\circ}{5\cos 32^\circ} + \frac{2\cos 62^\circ}{5\sin 28^\circ} is equal to:

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  4. Question 4

    Data Interpretation. Asked once: 26 Jul 2023 S2 (same type asked 6 times) See all 6 of this type

    62
    Study the given table and answer the question that follows. The table gives the number of graduate students enrolled in 4 different colleges A, B, C, and D in a city over the years 2010 to 2014 and also the number of students who passed in the final examination during these years.
    Year2010201020112011201220122013201320142014
    CollegeEnrolledPassEnrolledPassEnrolledPassEnrolledPassEnrolledPass
    A680620600560720700800760750700
    B550530450420600550650620700680
    C480450520500580550620600720700
    D710650750710680640720690740710
    Find the percentage of students who passed from college B for all the years put together to the number of students from college B during all the years ( rounded to 2 decimals ).

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  5. Question 5

    Mensuration 3D. Asked once: 18 Sep 2025 S2 (same type asked 5 times) See all 5 of this type

    60
    A marble is spherical in shape with a radius of 4 cm. If the marble is placed inside a cube with side length 10 cm, what is the volume of the cube that is not occupied by the marble?

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