UPSC CSAT · Practice Sheet 5

1. 1.

   Quantitative Aptitude

   Divide ₹1,503 between two people in the ratio 5:4. 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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2. 2.

   Quantitative Aptitude

   Two varieties costing ₹25 and ₹67 per kg are mixed to give a mixture worth ₹48 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

   Pipe A fills a tank in 13 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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4. 4.

   Quantitative Aptitude

   What is 20% of 1,160?

   Formula:Percentage of a Number

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

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5. 5.

   Quantitative Aptitude

   Find the compound interest on ₹15,000 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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6. 6.

   Quantitative Aptitude

   A value changes from 400 to 480. Find the percentage increase.

   Formula:Percentage Change

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

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7. 7.

   Quantitative Aptitude

   A vehicle covers 152 km in 4 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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8. 8.

   Quantitative Aptitude

   Find the average of these 5 numbers: 64, 73, 20, 44, 23.

   Formula:Arithmetic Mean

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

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9. 9.

   Quantitative Aptitude

   Pipe A fills a tank in 12 hours and pipe B in 13 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

    What is 25% of 340?

    Formula:Percentage of a Number

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

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11. 11.

    Quantitative Aptitude

    The marked price of an item is ₹1,400. After a 25% discount, find the selling price.

    Formula:Discount & Selling Price

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

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12. 12.

    Quantitative Aptitude

    What is 30% of 920?

    Formula:Percentage of a Number

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

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13. 13.

    Quantitative Aptitude

    Pipe A fills a tank in 14 hours and pipe B in 13 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

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14. 14.

    Quantitative Aptitude

    What is 15% of 860?

    Formula:Percentage of a Number

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

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15. 15.

    Quantitative Aptitude

    The marked price of an item is ₹500. After a 50% discount, find the selling price.

    Formula:Discount & Selling Price

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

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16. 16.

    Quantitative Aptitude

    Find the simple interest on ₹49,000 at 6% per annum for 3 year(s).

    Formula:Simple Interest

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

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17. 17.

    Quantitative Aptitude

    The sum of the ages of two people is 100 years, and one is 20 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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18. 18.

    Quantitative Aptitude

    A value changes from 500 to 750. Find the percentage increase.

    Formula:Percentage Change

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

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19. 19.

    Quantitative Aptitude

    Find the HCF and LCM of 20 and 34.

    Formula:LCM & HCF

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

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20. 20.

    Quantitative Aptitude

    Pipe A fills a tank in 11 hours and pipe B in 10 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

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