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Civil Service · Practice Sheet 45

Sheet code: UAE-CIVIL-SERVICE-S45 · 20 questions

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

    A can finish a job in 16 days and B in 8 days. Working together, how long will they take?

    Formula:Time & Work (combined)
    T=xyx+yT = \dfrac{xy}{x+y}
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  2. 2.
    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 8?

    Formula:Probability (two dice)
    P=favourabletotalP = \dfrac{\text{favourable}}{\text{total}}
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  3. 3.
    Quantitative Aptitude

    Find the simple interest on AED 8,000 at 5% per annum for 3 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
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  4. 4.
    Quantitative Aptitude

    Find the compound interest on AED 15,000 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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  5. 5.
    Quantitative Aptitude

    Find the simple interest on AED 19,000 at 10% per annum for 5 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
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  6. 6.
    Quantitative Aptitude

    Find the average of these 10 numbers: 41, 84, 66, 76, 51, 29, 41, 64, 43, 54.

    Formula:Arithmetic Mean
    xˉ=xn\bar{x} = \dfrac{\sum x}{n}
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  7. 7.
    Quantitative Aptitude

    In how many ways can 3 objects be chosen from 6 distinct objects? (Find ⁿᴄᵣ for n = 6, r = 3.)

    Formula:Combinations
    nCr=n!r!(nr)!^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}
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  8. 8.
    Quantitative Aptitude

    A invests AED 10,000 and B invests AED 4,000 for the same period. If the total profit is AED 6,000, find A's share.

    Formula:Partnership (profit share)
    ShareA=Profit×AA+B\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}
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  9. 9.
    Quantitative Aptitude

    An item is bought for AED 900 and sold for AED 1,170. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SPCPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  10. 10.
    Quantitative Aptitude

    Find the average of these 5 numbers: 31, 62, 53, 90, 52.

    Formula:Arithmetic Mean
    xˉ=xn\bar{x} = \dfrac{\sum x}{n}
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  11. 11.
    Quantitative Aptitude

    A value changes from 500 to 700. Find the percentage increase.

    Formula:Percentage Change
    %change=newoldold×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  12. 12.
    Quantitative Aptitude

    The marked price of an item is AED 1,300. After a 25% discount, find the selling price.

    Formula:Discount & Selling Price
    SP=MP(1d100)SP = MP\left(1-\dfrac{d}{100}\right)
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  13. 13.
    Quantitative Aptitude

    An item is bought for AED 600 and sold for AED 750. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SPCPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  14. 14.
    Quantitative Aptitude

    Find the compound interest on AED 12,000 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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  15. 15.
    Quantitative Aptitude

    Divide AED 1,508 between two people in the ratio 6:7. How much does each receive?

    Formula:Sharing in a Ratio
    Share=Total×partsum of parts\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}
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  16. 16.
    Quantitative Aptitude

    A value changes from 700 to 350. Find the percentage decrease.

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

    Find the compound interest on AED 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}
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  18. 18.
    Quantitative Aptitude

    A vehicle covers 600 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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  19. 19.
    Quantitative Aptitude

    A invests AED 9,000 and B invests AED 6,000 for the same period. If the total profit is AED 5,000, find A's share.

    Formula:Partnership (profit share)
    ShareA=Profit×AA+B\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}
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  20. 20.
    Quantitative Aptitude

    A value changes from 800 to 1,000. Find the percentage increase.

    Formula:Percentage Change
    %change=newoldold×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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