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UPSC CSAT · Practice Sheet 30

Sheet code: UPSC-S30 · 20 questions

Name: ______________
Date: ______________
  1. 1.
    Quantitative Aptitude

    A value changes from 200 to 300. Find the percentage increase.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  2. 2.
    Quantitative Aptitude

    Find the simple interest on ₹2,000 at 8% per annum for 5 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
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  3. 3.
    Quantitative Aptitude

    What is 75% of 500?

    Formula:Percentage of a Number
    Value=P100×N\text{Value} = \dfrac{P}{100}\times N
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  4. 4.
    Quantitative Aptitude

    A value changes from 900 to 990. Find the percentage increase.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  5. 5.
    Quantitative Aptitude

    A can finish a job in 8 days and B in 12 days. Working together, how long will they take?

    Formula:Time & Work (combined)
    T=xyx+yT = \dfrac{xy}{x+y}
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  6. 6.
    Quantitative Aptitude

    The sum of the ages of two people is 67 years, and one is 13 years older than the other. Find their ages.

    Formula:Ages (linear equations)
    x+(x+d)=Sx + (x+d) = S
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  7. 7.
    Quantitative Aptitude

    What is 75% of 400?

    Formula:Percentage of a Number
    Value=P100×N\text{Value} = \dfrac{P}{100}\times N
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  8. 8.
    Quantitative Aptitude

    Two varieties costing ₹28 and ₹66 per kg are mixed to give a mixture worth ₹34 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)
    q1q2=p2−mm−p1\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}
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  9. 9.
    Quantitative Aptitude

    Find the compound interest on ₹6,000 at 20% per annum compounded annually for 2 years.

    Formula:Compound Interest
    A=P(1+R100)TA = P\left(1+\dfrac{R}{100}\right)^{T}
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  10. 10.
    Quantitative Aptitude

    A vehicle covers 86 km in 2 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
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  11. 11.
    Quantitative Aptitude

    The marked price of an item is ₹1,800. After a 10% discount, find the selling price.

    Formula:Discount & Selling Price
    SP=MP(1−d100)SP = MP\left(1-\dfrac{d}{100}\right)
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  12. 12.
    Quantitative Aptitude

    A can finish a job in 13 days and B in 17 days. Working together, how long will they take?

    Formula:Time & Work (combined)
    T=xyx+yT = \dfrac{xy}{x+y}
    View formula →
  13. 13.
    Quantitative Aptitude

    The sum of the ages of two people is 76 years, and one is 2 years older than the other. Find their ages.

    Formula:Ages (linear equations)
    x+(x+d)=Sx + (x+d) = S
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  14. 14.
    Quantitative Aptitude

    Pipe A fills a tank in 15 hours and pipe B in 11 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns
    T=xyx+yT = \dfrac{xy}{x+y}
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  15. 15.
    Quantitative Aptitude

    The sum of the ages of two people is 44 years, and one is 10 years older than the other. Find their ages.

    Formula:Ages (linear equations)
    x+(x+d)=Sx + (x+d) = S
    View formula →
  16. 16.
    Quantitative Aptitude

    A can finish a job in 8 days and B in 9 days. Working together, how long will they take?

    Formula:Time & Work (combined)
    T=xyx+yT = \dfrac{xy}{x+y}
    View formula →
  17. 17.
    Quantitative Aptitude

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

    Formula:Compound Interest
    A=P(1+R100)TA = P\left(1+\dfrac{R}{100}\right)^{T}
    View formula →
  18. 18.
    Quantitative Aptitude

    A vehicle covers 102 km in 3 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
    View formula →
  19. 19.
    Quantitative Aptitude

    A value changes from 300 to 450. Find the percentage increase.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
    View formula →
  20. 20.
    Quantitative Aptitude

    The marked price of an item is ₹700. After a 50% discount, find the selling price.

    Formula:Discount & Selling Price
    SP=MP(1−d100)SP = MP\left(1-\dfrac{d}{100}\right)
    View formula →

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