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Day 79: SSC CGL Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. This type asked 3 times: 19 Jul 2023 S1, 19 Jul 2023 S4, 25 Jul 2023 S3. This one: 25 Jul 2023 S3 See all 3 of this type

    74
    If r=15(sin⁡θ+cos⁡θ)r = 15(\sin\theta + \cos\theta) and s=16(sin⁡θ−cos⁡θ)s = 16(\sin\theta - \cos\theta), then the value of r2152+s2162\frac{r^2}{15^2} + \frac{s^2}{16^2} is ______.

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  2. Question 2

    Trigonometric Ratios and Identities. This type asked 3 times: 17 Jul 2023 S4, 18 Jul 2023 S3, 24 Jul 2023 S4. This one: 24 Jul 2023 S4 See all 3 of this type

    63
    Simplify the given expression. 1+sin⁡4θ+cos⁡4θcos⁡2θ+sin⁡4θ\frac{1 + \sin^4\theta + \cos^4\theta}{\cos^2\theta + \sin^4\theta}

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  3. Question 3

    Time, Speed and Distance. This type asked 3 times: 17 Jul 2023 S3, 20 Jul 2023 S4, 21 Jul 2023 S1. This one: 21 Jul 2023 S1 See all 3 of this type

    51
    Anuj and Anup have to travel from a place A to a place B in their respective cars. Anuj is driving at 70 km/h, and takes 3 halts of 10 minutes each, while Anup is driving at 80 km/h, and takes 4 halts of 15 minutes each. The time taken by Anup to reach Place B, if Anuj takes 8.5 hours, is:

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  4. Question 4

    Trigonometric Ratios and Identities. This type asked 3 times: 14 Jul 2023 S2, 20 Jul 2023 S1, 21 Jul 2023 S1. This one: 21 Jul 2023 S1 See all 3 of this type

    60
    What is the value of sec⁡2θ−cot⁡2(90∘−θ)\sec^2\theta - \cot^2(90^\circ - \theta)?

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  5. Question 5

    Trigonometric Ratios and Identities. This type asked 3 times: 17 Jul 2023 S1, 18 Jul 2023 S3, 21 Jul 2023 S1. This one: 21 Jul 2023 S1 See all 3 of this type

    55
    Which of the following options is NOT a correct trigonometric identity?

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