PYQ Vault

Day 7: SSC CGL Tier II Quant

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

  1. Question 1

    Percentage, Profit and Loss. This type asked 3 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II, 18 Jan 2025 Tier II. This one: 18 Jan 2025 Tier II See all 3 of this type

    3
    A man buys 10 identical articles for a total of ₹15. If he sells each of them for ₹1.7, then his profit percentage will be ______%'(rounded off to two decimal place).

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  2. Question 2

    Probability. This type asked 3 times: 3 Mar 2023 Tier II, 6 Mar 2023 Tier II, 18 Jan 2025 Tier II. This one: 18 Jan 2025 Tier II See all 3 of this type

    7
    Let A and B be two players who are playing the game to hit the target. The probabilities of hitting the target by A and B is 23\frac{2}{3} and 34\frac{3}{4}, respectively. What is the probability that exactly one of them hit the target?

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  3. Question 3

    Ratio, Proportion and Variation. This type asked 3 times: 15 Nov 2020 Tier II, 3 Feb 2022 Tier II, 18 Jan 2025 Tier II. This one: 18 Jan 2025 Tier II See all 3 of this type

    25
    Vessel A contains milk and water in the ratio 4:54 : 5. Vessel B contains milk and water in the ratio 2:12 : 1. If x litres mixture of A is mixed with y litres mixture of B, then the ratio of milk to water in the mixture becomes 8:58 : 5. Find the ratio x:yx : y.

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  4. Question 4

    Averages. This type asked 3 times: 3 Mar 2023 Tier II, 6 Mar 2023 Tier II, 26 Oct 2023 Tier II. This one: 26 Oct 2023 Tier II See all 3 of this type

    11
    The average weight of the first thirteen persons among fourteen persons is 78 kg. The weight of the 14th person is 39 kg more than the average weight of all the fourteen persons. Find the weight of the 14th person.

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  5. Question 5

    Heights and Distances. This type asked 3 times: 3 Mar 2023 Tier II, 6 Mar 2023 Tier II, 26 Oct 2023 Tier II. This one: 26 Oct 2023 Tier II See all 3 of this type

    2
    From the top of a tower, the angle of depression of the top of a 10 m high building is 60∘60^\circ. If the distance between the tower and the building is 50350\sqrt{3} m, find the height of the tower.

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