UPSC CSAT · Practice Sheet 27

1. 1.

   Quantitative Aptitude

   Find the average of these 5 numbers: 40, 85, 63, 56, 50.

   Formula:Arithmetic Mean

   $\bar{x} = \dfrac{\sum x}{n}$

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2. 2.

   Quantitative Aptitude

   Two varieties costing ₹25 and ₹79 per kg are mixed to give a mixture worth ₹41 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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3. 3.

   Quantitative Aptitude

   The marked price of an item is ₹800. After a 40% discount, find the selling price.

   Formula:Discount & Selling Price

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

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4. 4.

   Quantitative Aptitude

   The sum of the ages of two people is 67 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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5. 5.

   Quantitative Aptitude

   Find the compound interest on ₹4,000 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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6. 6.

   Quantitative Aptitude

   Pipe A fills a tank in 9 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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7. 7.

   Quantitative Aptitude

   Two varieties costing ₹40 and ₹70 per kg are mixed to give a mixture worth ₹64 per kg. Find the mixing ratio.

   Formula:Alligation (Mixtures)

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

   View formula →
8. 8.

   Quantitative Aptitude

   Pipe A fills a tank in 8 hours and pipe B in 4 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

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9. 9.

   Quantitative Aptitude

   A can finish a job in 12 days and B in 16 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

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10. 10.

    Quantitative Aptitude

    An item is bought for ₹600 and sold for ₹690. Find the profit percentage.

    Formula:Profit Percentage

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

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11. 11.

    Quantitative Aptitude

    A vehicle covers 72 km in 2 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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12. 12.

    Quantitative Aptitude

    Find the compound interest on ₹2,000 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

    Find the average of these 10 numbers: 42, 85, 70, 21, 85, 44, 55, 46, 34, 43.

    Formula:Arithmetic Mean

    $\bar{x} = \dfrac{\sum x}{n}$

    View formula →
14. 14.

    Quantitative Aptitude

    Divide ₹2,240 between two people in the ratio 7:3. 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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15. 15.

    Quantitative Aptitude

    Find the HCF and LCM of 13 and 9.

    Formula:LCM & HCF

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

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16. 16.

    Quantitative Aptitude

    Divide ₹2,268 between two people in the ratio 4:5. 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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17. 17.

    Quantitative Aptitude

    The marked price of an item is ₹1,400. After a 5% discount, find the selling price.

    Formula:Discount & Selling Price

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

    View formula →
18. 18.

    Quantitative Aptitude

    Pipe A fills a tank in 5 hours and pipe B in 3 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

    View formula →
19. 19.

    Quantitative Aptitude

    Find the average of these 5 numbers: 51, 66, 58, 90, 29.

    Formula:Arithmetic Mean

    $\bar{x} = \dfrac{\sum x}{n}$

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20. 20.

    Quantitative Aptitude

    What is 10% of 840?

    Formula:Percentage of a Number

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

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