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Day 107: 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

    71
    The sum of the radii of spheres A and B is 14 cm, the radius of A being larger than that of B. The difference between their surface areas is 112π112\pi. What is the ratio of the volumes of A and B?

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  2. Question 2

    Number System. Asked once: 3 Feb 2022 Tier II

    38
    Three numbers are in the ratio 12:23:34\frac{1}{2} : \frac{2}{3} : \frac{3}{4}. If the difference between the greatest number and the smallest number is 33, then HCF of the three numbers is:

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  3. Question 3

    Ratio, Proportion and Variation. Asked once: 8 Aug 2022 Tier II

    46
    The cost of a diamond is directly proportional to the square of its weight.The cost of a 14 gm diamond is ₹2560. This diamond got broken down into two pieces in the ratio of 5 : 9. How much loss percent is incurred due to this breakage? (Correct to two decimal places)

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  4. Question 4

    Simple and Compound Interest. Asked once: 15 Nov 2020 Tier II

    55
    A certain sum is lent at 4% p.a. for 3 years, 8% p.a. for the next 4 years, and 12% p.a. beyond 7 years. If for a period of 11 years, the simple interest obtained is ₹27,600, then the sum is (in ₹):

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  5. Question 5

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

    65
    The value of (0.3)[{(200−146)/(3×3×3)}−3](0.3)^{[\{(200 - 146)/(3 \times 3 \times 3)\} - 3]} is:

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