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Day 188: SSC CGL Quant

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

  1. Question 1

    Surds, Indices and Simplification. Asked once: 12 Sep 2025 S3 (same type asked 2 times) See all 2 of this type

    53
    Simplify: (17+2)+(17−2)−(1449−2)\left(\frac{1}{7 + \sqrt{2}}\right) + \left(\frac{1}{7 - \sqrt{2}}\right) - \left(\frac{14}{49 - 2}\right)

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  2. Question 2

    Mensuration 3D. Asked once: 24 Sep 2024 S3 (same type asked 2 times) See all 2 of this type

    67
    The ratio of the length, the breadth, and the height of a solid cuboid is given as 3 : 2 : 1, and the breadth of this cuboid is given as 12 cm. Find the volume (in cm3\text{cm}^3) of the cuboid.

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: 24 Jul 2023 S1 (same type asked 2 times) See all 2 of this type

    58
    Find the value of the given expression. 2+cos⁡49∘cos⁡41∘−sin⁡49∘sin⁡41∘2 + \cos 49^\circ \cos 41^\circ - \sin 49^\circ \sin 41^\circ

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  4. Question 4

    Triangles. Asked once: 15 Sep 2025 S1 (same type asked 2 times) See all 2 of this type

    69
    In triangle ABC, medians AD, BE, and CF intersect at the centroid G. What is the ratio of the area of triangle GAB to the area of triangle ABC?

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  5. Question 5

    Mensuration 3D. Asked once: 20 Jul 2023 S4 (same type asked 2 times) See all 2 of this type

    69
    The length, breadth and height of a cuboid are in the ratio 1:2:31 : 2 : 3. The length, breadth and height of the cuboid are increased by 200%200\%, 300%300\% and 300%300\%, respectively. Then compared to the original volume, the increase in the volume of the cuboid will be:

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