UPSC CSAT · Practice Sheet 15

1. 1.

   Quantitative Aptitude

   Divide ₹3,211 between two people in the ratio 6:7. How much does each receive?

   Formula:Sharing in a Ratio

   $\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$

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2. 2.

   Quantitative Aptitude

   The marked price of an item is ₹1,200. After a 30% discount, find the selling price.

   Formula:Discount & Selling Price

   $SP = MP\left(1-\dfrac{d}{100}\right)$

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3. 3.

   Quantitative Aptitude

   An item is bought for ₹900 and sold for ₹1,035. Find the profit percentage.

   Formula:Profit Percentage

   $\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$

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4. 4.

   Quantitative Aptitude

   A can finish a job in 6 days and B in 8 days. Working together, how long will they take?

   Formula:Time & Work (combined)

   $T = \dfrac{xy}{x+y}$

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5. 5.

   Quantitative Aptitude

   An item is bought for ₹300 and sold for ₹360. Find the profit percentage.

   Formula:Profit Percentage

   $\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$

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6. 6.

   Quantitative Aptitude

   The marked price of an item is ₹1,400. After a 40% discount, find the selling price.

   Formula:Discount & Selling Price

   $SP = MP\left(1-\dfrac{d}{100}\right)$

   View formula →
7. 7.

   Quantitative Aptitude

   Find the compound interest on ₹8,000 at 10% per annum compounded annually for 3 years.

   Formula:Compound Interest

   $A = P\left(1+\dfrac{R}{100}\right)^{T}$

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8. 8.

   Quantitative Aptitude

   An item is bought for ₹900 and sold for ₹1,035. Find the profit percentage.

   Formula:Profit Percentage

   $\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$

   View formula →
9. 9.

   Quantitative Aptitude

   A can finish a job in 7 days and B in 17 days. Working together, how long will they take?

   Formula:Time & Work (combined)

   $T = \dfrac{xy}{x+y}$

   View formula →
10. 10.

    Quantitative Aptitude

    Divide ₹2,248 between two people in the ratio 2:6. How much does each receive?

    Formula:Sharing in a Ratio

    $\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$

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11. 11.

    Quantitative Aptitude

    A can finish a job in 16 days and B in 18 days. Working together, how long will they take?

    Formula:Time & Work (combined)

    $T = \dfrac{xy}{x+y}$

    View formula →
12. 12.

    Quantitative Aptitude

    Divide ₹2,794 between two people in the ratio 7:4. How much does each receive?

    Formula:Sharing in a Ratio

    $\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$

    View formula →
13. 13.

    Quantitative Aptitude

    The sum of the ages of two people is 68 years, and one is 6 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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14. 14.

    Quantitative Aptitude

    Find the HCF and LCM of 26 and 36.

    Formula:LCM & HCF

    $\text{LCM}\times\text{HCF} = a\times b$

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15. 15.

    Quantitative Aptitude

    Two varieties costing ₹29 and ₹66 per kg are mixed to give a mixture worth ₹49 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)

    $\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$

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16. 16.

    Quantitative Aptitude

    Divide ₹1,320 between two people in the ratio 4:6. How much does each receive?

    Formula:Sharing in a Ratio

    $\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$

    View formula →
17. 17.

    Quantitative Aptitude

    Two varieties costing ₹29 and ₹68 per kg are mixed to give a mixture worth ₹58 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)

    $\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$

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18. 18.

    Quantitative Aptitude

    A value changes from 900 to 765. Find the percentage decrease.

    Formula:Percentage Change

    $\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$

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19. 19.

    Quantitative Aptitude

    A vehicle covers 495 km in 9 hours. Find its average speed.

    Formula:Speed, Distance & Time

    $\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$

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20. 20.

    Quantitative Aptitude

    Find the HCF and LCM of 36 and 37.

    Formula:LCM & HCF

    $\text{LCM}\times\text{HCF} = a\times b$

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