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Day 57: SSC CGL Tier II Quant

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

  1. Question 1

    Ratio, Proportion and Variation. Asked once: 8 Aug 2022 Tier II (same type asked 3 times) See all 3 of this type

    6
    A, B and C started a business with initial investments of ₹ 20000, ₹ 25000 and ₹ 10000, respectively. After 5 months from start, A invested ₹ 4000 more. After 6 months from start, C invested ₹ 8000 more. After 4 months from start, B withdrew ₹ 8000. At the end of the year, they will receive a profit of ₹ 'x'. In what ratio they will share the profits?

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  2. Question 2

    Ratio, Proportion and Variation. Asked once: 3 Mar 2023 Tier II (same type asked 3 times) See all 3 of this type

    9
    The ratio of marks obtained by Rajesh, Rakesh and Ramesh in an exam is 2 : 4 : 9. What are the marks obtained by Rakesh and Ramesh, if Rajesh scored 30 marks in the exam?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: 15 Nov 2020 Tier II (same type asked 3 times) See all 3 of this type

    46
    If sec⁡θ=ab\sec\theta = \frac{a}{b}, b≠0b \ne 0, then 1−tan⁡2θ2−sin⁡2θ=?\frac{1 - \tan^2\theta}{2 - \sin^2\theta} = ?

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  4. Question 4

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

    81
    1+cos⁡θ−sin⁡2θsin⁡θ(1+cos⁡θ)×sec⁡2θ+cosec2θtan⁡θ+cot⁡θ\frac{1 + \cos\theta - \sin^2\theta}{\sin\theta(1 + \cos\theta)} \times \frac{\sqrt{\sec^2\theta + \text{cosec}^2\theta}}{\tan\theta + \cot\theta}, 0∘<θ<90∘0^\circ < \theta < 90^\circ, is equal to:

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  5. Question 5

    Percentage, Profit and Loss. Asked once: 15 Nov 2020 Tier II (same type asked 3 times) See all 3 of this type

    14
    On selling an article for ₹123.40, the gain is 20% more than the amount of loss incurred on selling it for ₹108. If the article is sold for ₹120.75, then what is the gain/loss per cent?

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