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UPSC CSAT · Practice Sheet 47

Sheet code: UPSC-S47 · 20 questions

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

    Pipe A fills a tank in 9 hours and pipe B in 12 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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  2. 2.
    Quantitative Aptitude

    Find the HCF and LCM of 12 and 25.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
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  3. 3.
    Quantitative Aptitude

    A vehicle covers 232 km in 4 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
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  4. 4.
    Quantitative Aptitude

    A can finish a job in 8 days and B in 17 days. Working together, how long will they take?

    Formula:Time & Work (combined)
    T=xyx+yT = \dfrac{xy}{x+y}
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  5. 5.
    Quantitative Aptitude

    An item is bought for ₹800 and sold for ₹880. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SP−CPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  6. 6.
    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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  7. 7.
    Quantitative Aptitude

    A value changes from 900 to 1,260. Find the percentage increase.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  8. 8.
    Quantitative Aptitude

    Find the compound interest on ₹19,000 at 10% per annum compounded annually for 3 years.

    Formula:Compound Interest
    A=P(1+R100)TA = P\left(1+\dfrac{R}{100}\right)^{T}
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  9. 9.
    Quantitative Aptitude

    Find the simple interest on ₹48,000 at 6% per annum for 4 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
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  10. 10.
    Quantitative Aptitude

    Pipe A fills a tank in 11 hours and pipe B in 12 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns
    T=xyx+yT = \dfrac{xy}{x+y}
    View formula →
  11. 11.
    Quantitative Aptitude

    Two varieties costing ₹35 and ₹91 per kg are mixed to give a mixture worth ₹62 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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  12. 12.
    Quantitative Aptitude

    Find the compound interest on ₹17,000 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}
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  13. 13.
    Quantitative Aptitude

    The sum of the ages of two people is 99 years, and one is 19 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

    A value changes from 900 to 720. Find the percentage decrease.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  15. 15.
    Quantitative Aptitude

    The sum of the ages of two people is 96 years, and one is 16 years older than the other. Find their ages.

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

    A value changes from 900 to 1,260. Find the percentage increase.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
    View formula →
  17. 17.
    Quantitative Aptitude

    Find the HCF and LCM of 27 and 14.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
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  18. 18.
    Quantitative Aptitude

    What is 30% of 220?

    Formula:Percentage of a Number
    Value=P100×N\text{Value} = \dfrac{P}{100}\times N
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  19. 19.
    Quantitative Aptitude

    Find the average of these 5 numbers: 25, 23, 56, 27, 33.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  20. 20.
    Quantitative Aptitude

    Find the HCF and LCM of 17 and 9.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
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