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Day 34: SSC CGL Tier II Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 20 Jan 2025 Tier II (same type asked 3 times) See all 3 of this type

    19
    If cos⁡27∘=pq\cos 27^\circ = \frac{p}{q}, then find the value of cosec⁡27∘−cos⁡63∘\operatorname{cosec} 27^\circ - \cos 63^\circ.

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: 29 Jan 2022 Tier II (same type asked 3 times) See all 3 of this type

    75
    (1+sec⁡θ cosec θ)2(sec⁡θ−tan⁡θ)2(1+sin⁡θ)(sin⁡θ+sec⁡θ)2+(cos⁡θ+cosec θ)2\frac{(1 + \sec\theta\,\text{cosec}\,\theta)^2(\sec\theta - \tan\theta)^2(1 + \sin\theta)}{(\sin\theta + \sec\theta)^2 + (\cos\theta + \text{cosec}\,\theta)^2}, 0∘<θ<90∘0^\circ < \theta < 90^\circ, is equal to:

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  3. Question 3

    Averages. Asked once: 8 Aug 2022 Tier II (same type asked 3 times) See all 3 of this type

    11
    What is the difference between the average of first 148 even positive numbers and the average of first 129 odd positive numbers?

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  4. Question 4

    Percentage, Profit and Loss. Asked once: 3 Feb 2022 Tier II (same type asked 3 times) See all 3 of this type

    93
    A lady sold an article for ₹960 at some profit. Had she sold it for ₹800, then there would have been a loss equal to 13\frac{1}{3} of the initial profit. What was the profit percentage of the article?

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  5. Question 5

    Percentage, Profit and Loss. Asked once: 20 Jan 2025 Tier II (same type asked 3 times) See all 3 of this type

    22
    Amit gets 6% increase in his sale amount in the first year and 20% in the second year, with that his present sale is ₹254400, what was his sale (in ₹) two years ago?

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