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Day 105: SSC CGL Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked 2 times: 14 Jul 2023 S1*, 26 Jul 2023 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    64
    If 21cos⁡A+3sin⁡A3cos⁡A+4sin⁡A=2\frac{21 \cos A + 3 \sin A}{3 \cos A + 4 \sin A} = 2, then find the value of cot⁡A\cot A

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  2. Question 2

    Time, Speed and Distance. Asked 2 times: 20 Jul 2023 S1*, 26 Jul 2023 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    58
    A boat goes 20 km upstream and 44 km downstream in 8 hours. In 5 hours, it goes 15 km upstream and 22 km downstream. Determine the speed of the boat in still water.

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  3. Question 3

    Time and Work. Asked 2 times: 17 Jul 2023 S1*, 25 Jul 2023 S4 (* = numbers or wording changed that year) See all 2 times it was asked

    72
    20 women and 15 men together can complete a work in 6 days. It takes 150 days for a single woman to complete the work. In how many days can a single man complete the work?

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  4. Question 4

    Mensuration 3D. Asked 2 times: 24 Jul 2023 S2*, 25 Jul 2023 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    64
    The length, breadth and height of a hall are 10 m, 20 m and 15m respectively. Find the cost of whitewashing the walls of the inside of the hall and ceiling at the rate of ₹10.20/m2\text{m}^2

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  5. Question 5

    Algebraic Identities and Simplification. Asked 2 times: 21 Jul 2023 S2*, 25 Jul 2023 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    65
    If (y−1y)=4\left(y - \frac{1}{y}\right) = 4, find the value of (y6+1y6)\left(y^6 + \frac{1}{y^6}\right).

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