UPSC CSAT · Practice Sheet 29

1. 1.

   Quantitative Aptitude

   Pipe A fills a tank in 10 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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2. 2.

   Quantitative Aptitude

   The sum of the ages of two people is 63 years, and one is 3 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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3. 3.

   Quantitative Aptitude

   Find the average of these 10 numbers: 67, 60, 43, 65, 83, 50, 34, 33, 26, 52.

   Formula:Arithmetic Mean

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

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4. 4.

   Quantitative Aptitude

   A vehicle covers 486 km in 6 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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5. 5.

   Quantitative Aptitude

   Pipe A fills a tank in 15 hours and pipe B in 7 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

   View formula →
6. 6.

   Quantitative Aptitude

   The sum of the ages of two people is 93 years, and one is 19 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

   View formula →
7. 7.

   Quantitative Aptitude

   Find the average of these 6 numbers: 84, 48, 88, 56, 64, 54.

   Formula:Arithmetic Mean

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

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8. 8.

   Quantitative Aptitude

   A can finish a job in 5 days and B in 10 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

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9. 9.

   Quantitative Aptitude

   Find the simple interest on ₹2,000 at 4% per annum for 3 year(s).

   Formula:Simple Interest

   $SI = \dfrac{P\times R\times T}{100}$

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10. 10.

    Quantitative Aptitude

    Divide ₹504 between two people in the ratio 2:7. 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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11. 11.

    Quantitative Aptitude

    A vehicle covers 116 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 average of these 5 numbers: 81, 74, 27, 41, 56.

    Formula:Arithmetic Mean

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

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13. 13.

    Quantitative Aptitude

    Divide ₹1,458 between two people in the ratio 3:6. 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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14. 14.

    Quantitative Aptitude

    A can finish a job in 19 days and B in 13 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

    View formula →
15. 15.

    Quantitative Aptitude

    Two varieties costing ₹22 and ₹69 per kg are mixed to give a mixture worth ₹53 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

    A can finish a job in 11 days and B in 6 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

    View formula →
17. 17.

    Quantitative Aptitude

    Find the HCF and LCM of 6 and 9.

    Formula:LCM & HCF

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

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18. 18.

    Quantitative Aptitude

    Two varieties costing ₹36 and ₹63 per kg are mixed to give a mixture worth ₹57 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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19. 19.

    Quantitative Aptitude

    Find the HCF and LCM of 6 and 40.

    Formula:LCM & HCF

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

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20. 20.

    Quantitative Aptitude

    What is 60% of 160?

    Formula:Percentage of a Number

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

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