UPSC CSAT · Practice Sheet 39

1. 1.

   Quantitative Aptitude

   A can finish a job in 5 days and B in 7 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 ₹623 between two people in the ratio 5:2. 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

   A value changes from 500 to 650. Find the percentage increase.

   Formula:Percentage Change

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

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4. 4.

   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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5. 5.

   Quantitative Aptitude

   An item is bought for ₹700 and sold for ₹980. Find the profit percentage.

   Formula:Profit Percentage

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

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6. 6.

   Quantitative Aptitude

   Divide ₹768 between two people in the ratio 6:6. 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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7. 7.

   Quantitative Aptitude

   Pipe A fills a tank in 4 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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8. 8.

   Quantitative Aptitude

   What is 20% of 1,180?

   Formula:Percentage of a Number

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

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9. 9.

   Quantitative Aptitude

   An item is bought for ₹400 and sold for ₹500. Find the profit percentage.

   Formula:Profit Percentage

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

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10. 10.

    Quantitative Aptitude

    The sum of the ages of two people is 57 years, and one is 5 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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11. 11.

    Quantitative Aptitude

    Divide ₹561 between two people in the ratio 6:5. 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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12. 12.

    Quantitative Aptitude

    A can finish a job in 18 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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13. 13.

    Quantitative Aptitude

    Find the HCF and LCM of 24 and 36.

    Formula:LCM & HCF

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

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14. 14.

    Quantitative Aptitude

    Find the compound interest on ₹19,000 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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15. 15.

    Quantitative Aptitude

    A vehicle covers 234 km in 6 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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16. 16.

    Quantitative Aptitude

    Find the average of these 10 numbers: 35, 66, 74, 85, 38, 26, 47, 49, 87, 35.

    Formula:Arithmetic Mean

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

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17. 17.

    Quantitative Aptitude

    Find the simple interest on ₹17,000 at 4% per annum for 6 year(s).

    Formula:Simple Interest

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

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18. 18.

    Quantitative Aptitude

    Find the HCF and LCM of 20 and 16.

    Formula:LCM & HCF

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

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19. 19.

    Quantitative Aptitude

    Find the compound interest on ₹20,000 at 10% per annum compounded annually for 2 years.

    Formula:Compound Interest

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

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20. 20.

    Quantitative Aptitude

    A vehicle covers 114 km in 3 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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