PYQ Vault

Day 43: SSC CGL Tier II Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 3 Feb 2022 Tier II (same type asked 2 times) See all 2 of this type

    24
    If sec⁡θ−tan⁡θsec⁡θ+tan⁡θ=17\frac{\sec\theta - \tan\theta}{\sec\theta + \tan\theta} = \frac{1}{7}, θ\theta lies in first quadrant, then the value of cosec θ+cot⁡2θcosec θ−cot⁡2θ\frac{\text{cosec}\,\theta + \cot^2\theta}{\text{cosec}\,\theta - \cot^2\theta} is:

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  2. Question 2

    Heights and Distances. Asked once: 3 Feb 2022 Tier II (same type asked 2 times) See all 2 of this type

    92
    Two pillars A and B of the same height are on opposite sides of a road which is 40 m wide. The angles of elevation of the tops of the pillars A and B are 30∘30^\circ and 45∘45^\circ, respectively, at a point on the road between the pillars. What is the distance (in m) of the point from the foot of pillar A?

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  3. Question 3

    Linear Equations. Asked once: 7 Mar 2023 Tier II (same type asked 2 times) See all 2 of this type

    9
    If two LED TVs and one mobile phone cost ₹31,000, while two mobile phones and one LED TV cost ₹35,000, then the value of one mobile phone is:

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  4. Question 4

    Linear Equations. Asked once: 3 Mar 2023 Tier II (same type asked 2 times) See all 2 of this type

    15
    Rewa has some hens and some goats. If the total number of animal heads is 100 and the total number of animal feet is 348, then what is the total number of goats with Rewa?

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  5. Question 5

    Percentage, Profit and Loss. Asked once: 3 Mar 2023 Tier II (same type asked 2 times) See all 2 of this type

    29
    Two candidates contested an election.One of them got 64% of the votes and won by 434 votes.What was the total number of votes polled?

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