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Day 111: SSC CGL Tier II Quant

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

  1. Question 1

    Mensuration 3D. Asked once: 15 Nov 2020 Tier II

    33
    A spherical metallic shell with 6 cm external radius weighs 6688 g. What is the thickness of the shell if the density of metal is 10.5 g per cm3\text{cm}^3? (Take π=227\pi = \frac{22}{7})

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  2. Question 2

    Number System. Asked once: 29 Jan 2022 Tier II

    88
    The sum of and difference between the LCM and HCF of two numbers are 512 and 496, respectively. If one number is 72, then the other number is:

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  3. Question 3

    Ratio, Proportion and Variation. Asked once: 3 Feb 2022 Tier II

    15
    P and Q start a shop with a capital of ₹1,50,000 and ₹4,50,000, respectively. After a year, out of the profit of ₹2,00,000, P gets his share of profit plus some money as his salary that is not a part of the profit. If P gets a total of ₹90,000, what is the amount of salary (in ₹) that he received?

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  4. Question 4

    Surds, Indices and Simplification. Asked once: 3 Feb 2022 Tier II

    45
    The value of 370+142+166+3286+1130+1170\frac{3}{70} + \frac{1}{42} + \frac{1}{66} + \frac{3}{286} + \frac{1}{130} + \frac{1}{170} is:

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  5. Question 5

    Time and Work. Asked once: 29 Jan 2022 Tier II

    99
    A tap can fill a tank in 5125\frac{1}{2} hours. Because of a leak, it took 8148\frac{1}{4} hours to fill the tank. In how much time (in hours) will the leak alone empty 30% of the tank?

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