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Police & Armed Forces · Practice Sheet 26

Sheet code: UAE-POLICE-S26 · 20 questions

Name: ______________

Date: ______________

1.
Physics
Find the momentum of a 1 kg body moving at 30 m/s.
Formula:Linear Momentum
$p = mv$
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2.
Quantitative Aptitude
A can finish a job in 12 days and B in 10 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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3.
Quantitative Aptitude
A vehicle covers 584 km in 8 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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4.
Physics
Find the kinetic energy of a 4 kg object moving at 13 m/s.
Formula:Kinetic Energy
$KE = \tfrac{1}{2}mv^{2}$
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5.
Quantitative Aptitude
The sum of the ages of two people is 46 years, and one is 2 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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6.
Quantitative Aptitude
Divide AED 714 between two people in the ratio 4:3. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
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7.
Quantitative Aptitude
Find the compound interest on AED 17,000 at 10% per annum compounded annually for 2 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
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8.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 9?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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9.
Quantitative Aptitude
Find the simple interest on AED 2,000 at 10% per annum for 1 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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10.
Physics
A body moving at 2 m/s accelerates at 2 m/s² for 4 s. Find the distance travelled.
Formula:Equation of Motion (s = ut + ½at²)
$s = ut + \tfrac{1}{2}at^{2}$
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11.
Physics
A force of 211 N acts on an area of 43 m². Find the pressure.
Formula:Pressure
$P = \dfrac{F}{A}$
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12.
Physics
If 4,230 J of work is done in 29 s, find the power.
Formula:Power
$P = \dfrac{W}{t}$
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13.
Quantitative Aptitude
Pipe A fills a tank in 9 hours and pipe B in 4 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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14.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 9?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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15.
Quantitative Aptitude
The marked price of an item is AED 1,400. After a 30% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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16.
Quantitative Aptitude
Pipe A fills a tank in 13 hours and pipe B in 14 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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17.
Physics
Find the voltage across a 31 Ω resistor carrying a current of 6 A.
Formula:Ohm's Law
$V = IR$
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18.
Quantitative Aptitude
A invests AED 10,000 and B invests AED 7,000 for the same period. If the total profit is AED 6,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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19.
Quantitative Aptitude
A value changes from 200 to 170. Find the percentage decrease.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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20.
Physics
A force of 366 N acts on an area of 47 m². Find the pressure.
Formula:Pressure
$P = \dfrac{F}{A}$
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