UPSC CSAT · Practice Sheet 19

1. 1.

   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)

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

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2. 2.

   Quantitative Aptitude

   Divide ₹1,038 between two people in the ratio 2:4. 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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3. 3.

   Quantitative Aptitude

   Find the HCF and LCM of 38 and 15.

   Formula:LCM & HCF

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

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4. 4.

   Quantitative Aptitude

   A can finish a job in 6 days and B in 15 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

   The sum of the ages of two people is 33 years, and one is 9 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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6. 6.

   Quantitative Aptitude

   Find the HCF and LCM of 12 and 32.

   Formula:LCM & HCF

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

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7. 7.

   Quantitative Aptitude

   The sum of the ages of two people is 77 years, and one is 11 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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8. 8.

   Quantitative Aptitude

   The marked price of an item is ₹1,900. After a 50% discount, find the selling price.

   Formula:Discount & Selling Price

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

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9. 9.

   Quantitative Aptitude

   Find the HCF and LCM of 18 and 18.

   Formula:LCM & HCF

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

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10. 10.

    Quantitative Aptitude

    Find the average of these 10 numbers: 38, 52, 80, 75, 86, 67, 36, 30, 50, 69.

    Formula:Arithmetic Mean

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

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11. 11.

    Quantitative Aptitude

    A vehicle covers 264 km in 8 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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12. 12.

    Quantitative Aptitude

    The sum of the ages of two people is 37 years, and one is 9 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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13. 13.

    Quantitative Aptitude

    Find the compound interest on ₹3,000 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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14. 14.

    Quantitative Aptitude

    What is 50% of 1,100?

    Formula:Percentage of a Number

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

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15. 15.

    Quantitative Aptitude

    Find the simple interest on ₹47,000 at 10% per annum for 3 year(s).

    Formula:Simple Interest

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

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16. 16.

    Quantitative Aptitude

    Find the average of these 5 numbers: 25, 60, 27, 26, 47.

    Formula:Arithmetic Mean

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

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17. 17.

    Quantitative Aptitude

    A value changes from 400 to 280. Find the percentage decrease.

    Formula:Percentage Change

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

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18. 18.

    Quantitative Aptitude

    A can finish a job in 18 days and B in 10 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

    View formula →
19. 19.

    Quantitative Aptitude

    A vehicle covers 378 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

    Pipe A fills a tank in 14 hours and pipe B in 3 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

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