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Day 15: SSC CGL Tier II Quant

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

  1. Question 1

    Mensuration 3D. Asked 2 times: 15 Nov 2020 Tier II*, 3 Feb 2022 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    55
    A solid metallic sphere of radius 4 cm is melted and recast into spheres of 2 cm each. What is the ratio of the surface area of the original sphere to the sum of surface areas of the spheres, so formed?

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  2. Question 2

    Percentage, Profit and Loss. Asked 2 times: 29 Jan 2022 Tier II*, 3 Feb 2022 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    50
    A dealer gains 20% by selling an article at 25% discount on its marked price. If the cost price of the article is decreased by 15%, how much discount percentage should he now give on the same marked price so as to earn the same percentage of profit as before?

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  3. Question 3

    Triangles. Asked 2 times: 29 Jan 2022 Tier II*, 3 Feb 2022 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    94
    In △ABC\triangle ABC, AB = 48 cm, BC = 55 cm and AC = 73 cm. If O is the centroid of the triangle, then the length (in cm) of BO (correct to one decimal place) is:

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  4. Question 4

    Triangles. Asked 2 times: 15 Nov 2020 Tier II*, 3 Feb 2022 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    77
    In △PQR\triangle PQR, the bisector of ∠R\angle R meets side PQ at S, PR = 10 cm, RQ = 14 cm and PQ = 12 cm. What is the length of SQ?

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  5. Question 5

    Triangles. Asked 2 times: 29 Jan 2022 Tier II*, 3 Feb 2022 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    81
    In △ABC\triangle ABC, D is a point on BC such that ∠ADB=2∠DAC\angle ADB = 2\angle DAC, ∠BAC=70∘\angle BAC = 70^\circ and ∠B=56∘\angle B = 56^\circ. What is the measure of ∠ADC\angle ADC?

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