PYQ Vault

Day 126: SSC CGL Quant

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

  1. Question 1

    Mensuration 2D. This type asked 2 times: 9 Sep 2024 S3, 10 Sep 2024 S3. This one: 10 Sep 2024 S3 See all 2 of this type

    67
    What is the central angle of a sector of a circle whose area and perimeter are, respectively, equal to 209 cm2\text{cm}^2 and 63 cm if it is given that its radius is a non-negative integer (roundup to one decimal place)?

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  2. Question 2

    Triangles. This type asked 2 times: 9 Sep 2024 S1, 10 Sep 2024 S1. This one: 10 Sep 2024 S1 See all 2 of this type

    53
    By applying which of the following criteria can two triangles NOT be proved congruent?

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  3. Question 3

    Averages. This type asked 2 times: 24 Jul 2023 S4, 9 Sep 2024 S3. This one: 9 Sep 2024 S3 See all 2 of this type

    53
    A stock portfolio consists of four stocks. Stock A represents 20%20\% of the portfolio and has a return of 6%6\%. Stock B represents 30%30\% of the portfolio and has a return of 8%8\%. Stock C represents 20%20\% of the portfolio and has a return of 4%4\%. Stock D represents the remaining 30%30\% of the portfolio and has a negative-return of 5%5\%. What is the average return of the portfolio?

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  4. Question 4

    Triangles. This type asked 2 times: 19 Jul 2023 S2, 9 Sep 2024 S3. This one: 9 Sep 2024 S3 See all 2 of this type

    63
    In a ΔPQR\Delta PQR, the bisectors of ∠Q\angle Q and ∠R\angle R meet at point O, inside the triangle. If ∠QOR=107∘\angle QOR = 107^\circ, then the measure of ∠P\angle P is:

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  5. Question 5

    Trigonometric Ratios and Identities. This type asked 2 times: 14 Jul 2023 S4, 9 Sep 2024 S2. This one: 9 Sep 2024 S2 See all 2 of this type

    62
    Simplify the following. sin⁡3A−cos⁡3Asin⁡A−cos⁡A\frac{\sin^3 A - \cos^3 A}{\sin A - \cos A}, where A is an acute angle.

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