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Police & Armed Forces · Practice Sheet 40

Sheet code: UAE-POLICE-S40 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
The sum of the ages of two people is 55 years, and one is 13 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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2.
Quantitative Aptitude
Find the simple interest on AED 9,000 at 6% per annum for 1 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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3.
Quantitative Aptitude
In how many ways can 2 objects be arranged out of 8 distinct objects? (Find ⁿᴘᵣ for n = 8, r = 2.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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4.
Quantitative Aptitude
Find the compound interest on AED 5,000 at 20% per annum compounded annually for 3 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
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5.
Physics
Find the density of an object with mass 481 g and volume 12 cm³.
Formula:Density
$\rho = \dfrac{m}{V}$
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6.
Quantitative Aptitude
Find the HCF and LCM of 31 and 10.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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7.
Physics
A force of 347 N acts on an area of 41 m². Find the pressure.
Formula:Pressure
$P = \dfrac{F}{A}$
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8.
Quantitative Aptitude
In how many ways can 3 objects be arranged out of 8 distinct objects? (Find ⁿᴘᵣ for n = 8, r = 3.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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9.
Physics
A force of 449 N acts on an area of 19 m². Find the pressure.
Formula:Pressure
$P = \dfrac{F}{A}$
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10.
Quantitative Aptitude
A value changes from 400 to 360. Find the percentage decrease.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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11.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 10?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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12.
Quantitative Aptitude
Divide AED 1,872 between two people in the ratio 7:6. 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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13.
Physics
Find the voltage across a 9 Ω resistor carrying a current of 17 A.
Formula:Ohm's Law
$V = IR$
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14.
Quantitative Aptitude
Find the compound interest on AED 4,000 at 10% per annum compounded annually for 3 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
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15.
Quantitative Aptitude
A invests AED 3,000 and B invests AED 10,000 for the same period. If the total profit is AED 8,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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16.
Physics
Find the voltage across a 20 Ω resistor carrying a current of 15 A.
Formula:Ohm's Law
$V = IR$
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17.
Physics
Calculate the potential energy of a 20 kg object at a height of 34 m (g = 9.8 m/s²).
Formula:Gravitational Potential Energy
$PE = mgh$
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18.
Quantitative Aptitude
Find the simple interest on AED 30,000 at 6% per annum for 6 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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19.
Physics
A body moving at 7 m/s accelerates at 6 m/s² for 6 s. Find the distance travelled.
Formula:Equation of Motion (s = ut + ½at²)
$s = ut + \tfrac{1}{2}at^{2}$
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20.
Quantitative Aptitude
A vehicle covers 640 km in 8 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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