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Police & Armed Forces · Practice Sheet 29

Sheet code: UAE-POLICE-S29 · 20 questions

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

    Find the average of these 8 numbers: 85, 85, 72, 35, 80, 45, 33, 69.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  2. 2.
    Quantitative Aptitude

    The marked price of an item is AED 600. After a 25% 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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  3. 3.
    Quantitative Aptitude

    What is 25% of 580?

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

    Find the HCF and LCM of 27 and 37.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
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  5. 5.
    Quantitative Aptitude

    A value changes from 300 to 360. Find the percentage increase.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  6. 6.
    Quantitative Aptitude

    A vehicle covers 252 km in 3 hours. Find its average speed.

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

    A body moving at 3 m/s accelerates at 4 m/s² for 3 s. Find the distance travelled.

    Formula:Equation of Motion (s = ut + ½at²)
    s=ut+12at2s = ut + \tfrac{1}{2}at^{2}
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  8. 8.
    Quantitative Aptitude

    A value changes from 800 to 1,120. Find the percentage increase.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  9. 9.
    Physics

    A projectile is launched at 41 m/s at 60° to the horizontal. Find its range (g = 9.8 m/s²).

    Formula:Projectile Range
    R=u2sin⁡2θgR = \dfrac{u^{2}\sin 2\theta}{g}
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  10. 10.
    Physics

    If 4,954 J of work is done in 18 s, find the power.

    Formula:Power
    P=WtP = \dfrac{W}{t}
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  11. 11.
    Quantitative Aptitude

    A vehicle covers 120 km in 3 hours. Find its average speed.

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

    The sum of the ages of two people is 42 years, and one is 20 years older than the other. Find their ages.

    Formula:Ages (linear equations)
    x+(x+d)=Sx + (x+d) = S
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  13. 13.
    Physics

    A constant force of 52 N moves an object 15 m in the direction of the force. Calculate the work done.

    Formula:Work Done
    W=F dW = F\,d
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  14. 14.
    Quantitative Aptitude

    An item is bought for AED 400 and sold for AED 460. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SP−CPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  15. 15.
    Quantitative Aptitude

    Divide AED 1,320 between two people in the ratio 5:6. 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

    The sum of the ages of two people is 47 years, and one is 11 years older than the other. Find their ages.

    Formula:Ages (linear equations)
    x+(x+d)=Sx + (x+d) = S
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  17. 17.
    Physics

    A force of 244 N acts on an area of 47 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  18. 18.
    Quantitative Aptitude

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

    Formula:Profit Percentage
    Profit%=SP−CPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  19. 19.
    Quantitative Aptitude

    The sum of the ages of two people is 31 years, and one is 9 years older than the other. Find their ages.

    Formula:Ages (linear equations)
    x+(x+d)=Sx + (x+d) = S
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  20. 20.
    Quantitative Aptitude

    In how many ways can 2 objects be arranged out of 7 distinct objects? (Find ⁿᴘᵣ for n = 7, r = 2.)

    Formula:Permutations
    nPr=n!(n−r)!^{n}P_{r} = \dfrac{n!}{(n-r)!}
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