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Day 67: 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 4 times) See all 4 of this type

    27
    The expression (tan⁡θ+cot⁡θ)(sec⁡θ+tan⁡θ)(1−sin⁡θ)(\tan\theta + \cot\theta)(\sec\theta + \tan\theta)(1 - \sin\theta), 0∘<θ<90∘0^\circ < \theta < 90^\circ, is equal to:

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  2. Question 2

    Ratio, Proportion and Variation. Asked once: 15 Nov 2020 Tier II (same type asked 3 times) See all 3 of this type

    67
    X and Y enter into a partnership with capital in the ratio 3:53 : 5. After 5 months X adds 50% of his capital, while Y withdraws 60% of his capital. What is the share (in ₹ lakhs) of X in the annual profit of ₹6.84 lakhs?

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  3. Question 3

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

    37
    (tan⁡3θsec⁡2θ+cot⁡3θcosec2θ+2sin⁡θcos⁡θ)÷(1+cosec2θ+tan⁡2θ)\left(\frac{\tan^3\theta}{\sec^2\theta} + \frac{\cot^3\theta}{\text{cosec}^2\theta} + 2\sin\theta\cos\theta\right) \div (1 + \text{cosec}^2\theta + \tan^2\theta), 0∘<θ<90∘0^\circ < \theta < 90^\circ, is equal to:

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  4. Question 4

    Percentage, Profit and Loss. Asked once: 8 Aug 2022 Tier II (same type asked 3 times) See all 3 of this type

    97
    Three years ago, Raman's salary was ₹45000. His salary is increased by 10 percent, A percent and 20 percent in first, second and third year respectively. Raman's present salary is ₹83160. What is the value of A?

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  5. Question 5

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

    10
    The value of 1712%17\frac{1}{2}\% of 314%3\frac{1}{4}\% of 3313%33\frac{1}{3}\% of 7200 is:

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