UPSC CSAT · Practice Sheet 21

1. 1.

   Quantitative Aptitude

   Find the compound interest on ₹6,000 at 20% per annum compounded annually for 2 years.

   Formula:Compound Interest

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

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2. 2.

   Quantitative Aptitude

   The marked price of an item is ₹500. After a 20% 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

   A can finish a job in 5 days and B in 20 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

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4. 4.

   Quantitative Aptitude

   Find the HCF and LCM of 31 and 17.

   Formula:LCM & HCF

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

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5. 5.

   Quantitative Aptitude

   What is 30% of 580?

   Formula:Percentage of a Number

   $\text{Value} = \dfrac{P}{100}\times N$

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6. 6.

   Quantitative Aptitude

   Divide ₹1,432 between two people in the ratio 5:3. 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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7. 7.

   Quantitative Aptitude

   The sum of the ages of two people is 63 years, and one is 7 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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8. 8.

   Quantitative Aptitude

   Two varieties costing ₹14 and ₹66 per kg are mixed to give a mixture worth ₹28 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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9. 9.

   Quantitative Aptitude

   Pipe A fills a tank in 3 hours and pipe B in 12 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

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10. 10.

    Quantitative Aptitude

    The sum of the ages of two people is 47 years, and one is 19 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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11. 11.

    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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12. 12.

    Quantitative Aptitude

    Find the compound interest on ₹11,000 at 20% per annum compounded annually for 2 years.

    Formula:Compound Interest

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

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13. 13.

    Quantitative Aptitude

    A vehicle covers 288 km in 9 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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14. 14.

    Quantitative Aptitude

    Find the HCF and LCM of 11 and 10.

    Formula:LCM & HCF

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

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15. 15.

    Quantitative Aptitude

    Pipe A fills a tank in 11 hours and pipe B in 7 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

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16. 16.

    Quantitative Aptitude

    A can finish a job in 19 days and B in 20 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

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17. 17.

    Quantitative Aptitude

    Two varieties costing ₹40 and ₹99 per kg are mixed to give a mixture worth ₹87 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

    Pipe A fills a tank in 11 hours and pipe B in 15 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

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19. 19.

    Quantitative Aptitude

    What is 30% of 840?

    Formula:Percentage of a Number

    $\text{Value} = \dfrac{P}{100}\times N$

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20. 20.

    Quantitative Aptitude

    Divide ₹495 between two people in the ratio 6:3. 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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