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Day 52: SSC CGL Tier II Quant

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

  1. Question 1

    Mensuration 3D. Asked once: 29 Jan 2022 Tier II (same type asked 2 times) See all 2 of this type

    27
    A solid metallic cuboid of dimensions 12 cm ×\times 54 cm ×\times 72 cm is melted and converted into 8 cubes of the same size. What is the sum of the lateral surface areas (in cm2\text{cm}^2) of 2 such cubes?

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  2. Question 2

    Percentage, Profit and Loss. Asked once: 29 Jan 2022 Tier II (same type asked 2 times) See all 2 of this type

    8
    An article is sold at a certain price. If it is sold at 3313%33\frac{1}{3}\% of this price, there is a loss of 3313%33\frac{1}{3}\%. What is the percentage profit if the article is sold at 80% of its original selling price?

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  3. Question 3

    Ratio, Proportion and Variation. Asked once: 29 Jan 2022 Tier II (same type asked 2 times) See all 2 of this type

    52
    One cup has juice and water in the ratio 5 : 2, while another cup of the same capacity has them in the ratio 7 : 4, respectively. If contents of both the cups (when full) are poured in a vessel, then what will be the final ratio of water to juice in the vessel?

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  4. Question 4

    Ratio, Proportion and Variation. Asked once: 29 Jan 2022 Tier II (same type asked 2 times) See all 2 of this type

    66
    The ratio of the incomes of A and B in the last year was 4 : 3. The ratios of their individual incomes in the last year and the present year are 3 : 4 and 5 : 6, respectively. If their total income in the present year is ₹24.12 lakhs, then the sum of the income (in ₹ lakhs) of A in the last year and that of B in the present year is:

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  5. Question 5

    Surds, Indices and Simplification. Asked once: 29 Jan 2022 Tier II (same type asked 2 times) See all 2 of this type

    83
    If x=1+32−1−32x = \sqrt{1 + \frac{\sqrt{3}}{2}} - \sqrt{1 - \frac{\sqrt{3}}{2}}, then the value of 3−x3+x\frac{\sqrt{3} - x}{\sqrt{3} + x} (corrected to two decimal places) is:

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