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UPSC CSAT · Practice Sheet 14

Sheet code: UPSC-S14 · 20 questions

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

    An item is bought for ₹600 and sold for ₹780. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SPCPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  2. 2.
    Quantitative Aptitude

    Two varieties costing ₹21 and ₹70 per kg are mixed to give a mixture worth ₹30 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)
    q1q2=p2mmp1\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}
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  3. 3.
    Quantitative Aptitude

    The sum of the ages of two people is 74 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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  4. 4.
    Quantitative Aptitude

    The marked price of an item is ₹1,500. After a 50% discount, find the selling price.

    Formula:Discount & Selling Price
    SP=MP(1d100)SP = MP\left(1-\dfrac{d}{100}\right)
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  5. 5.
    Quantitative Aptitude

    The sum of the ages of two people is 42 years, and one is 10 years older than the other. Find their ages.

    Formula:Ages (linear equations)
    x+(x+d)=Sx + (x+d) = S
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  6. 6.
    Quantitative Aptitude

    A vehicle covers 432 km in 8 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
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  7. 7.
    Quantitative Aptitude

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

    Formula:Discount & Selling Price
    SP=MP(1d100)SP = MP\left(1-\dfrac{d}{100}\right)
    View formula →
  8. 8.
    Quantitative Aptitude

    Find the simple interest on ₹24,000 at 5% per annum for 6 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
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  9. 9.
    Quantitative Aptitude

    Find the compound interest on ₹12,000 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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  10. 10.
    Quantitative Aptitude

    What is 75% of 300?

    Formula:Percentage of a Number
    Value=P100×N\text{Value} = \dfrac{P}{100}\times N
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  11. 11.
    Quantitative Aptitude

    A vehicle covers 148 km in 2 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
    View formula →
  12. 12.
    Quantitative Aptitude

    The sum of the ages of two people is 64 years, and one is 6 years older than the other. Find their ages.

    Formula:Ages (linear equations)
    x+(x+d)=Sx + (x+d) = S
    View formula →
  13. 13.
    Quantitative Aptitude

    A vehicle covers 342 km in 6 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
    View formula →
  14. 14.
    Quantitative Aptitude

    The marked price of an item is ₹1,400. After a 50% discount, find the selling price.

    Formula:Discount & Selling Price
    SP=MP(1d100)SP = MP\left(1-\dfrac{d}{100}\right)
    View formula →
  15. 15.
    Quantitative Aptitude

    Find the simple interest on ₹45,000 at 12% per annum for 6 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
    View formula →
  16. 16.
    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 →
  17. 17.
    Quantitative Aptitude

    A vehicle covers 332 km in 4 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
    View formula →
  18. 18.
    Quantitative Aptitude

    Find the HCF and LCM of 27 and 8.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
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  19. 19.
    Quantitative Aptitude

    An item is bought for ₹600 and sold for ₹840. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SPCPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
    View formula →
  20. 20.
    Quantitative Aptitude

    What is 25% of 560?

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