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Police & Armed Forces · Practice Sheet 19

Sheet code: UAE-POLICE-S19 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Find the compound interest on AED 1,000 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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2.
Quantitative Aptitude
The marked price of an item is AED 1,900. After a 25% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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3.
Physics
A constant force of 181 N moves an object 39 m in the direction of the force. Calculate the work done.
Formula:Work Done
$W = F\,d$
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4.
Physics
Find the kinetic energy of a 15 kg object moving at 18 m/s.
Formula:Kinetic Energy
$KE = \tfrac{1}{2}mv^{2}$
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5.
Physics
Find the voltage across a 8 Ω resistor carrying a current of 1 A.
Formula:Ohm's Law
$V = IR$
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6.
Physics
Find the kinetic energy of a 14 kg object moving at 24 m/s.
Formula:Kinetic Energy
$KE = \tfrac{1}{2}mv^{2}$
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7.
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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8.
Quantitative Aptitude
Divide AED 756 between two people in the ratio 2:7. 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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9.
Physics
Find the voltage across a 32 Ω resistor carrying a current of 1 A.
Formula:Ohm's Law
$V = IR$
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10.
Quantitative Aptitude
Find the simple interest on AED 29,000 at 8% per annum for 4 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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11.
Quantitative Aptitude
Pipe A fills a tank in 3 hours and pipe B in 15 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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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
$SP = MP\left(1-\dfrac{d}{100}\right)$
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13.
Physics
Find the force required to accelerate a 11 kg mass at 8 m/s².
Formula:Newton's Second Law (F = ma)
$F = ma$
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14.
Physics
Calculate the potential energy of a 10 kg object at a height of 8 m (g = 9.8 m/s²).
Formula:Gravitational Potential Energy
$PE = mgh$
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15.
Quantitative Aptitude
A invests AED 10,000 and B invests AED 6,000 for the same period. If the total profit is AED 10,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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16.
Quantitative Aptitude
Find the compound interest on AED 3,000 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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17.
Physics
A projectile is launched at 32 m/s at 30° to the horizontal. Find its range (g = 9.8 m/s²).
Formula:Projectile Range
$R = \dfrac{u^{2}\sin 2\theta}{g}$
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18.
Quantitative Aptitude
The sum of the ages of two people is 88 years, and one is 10 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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19.
Physics
A projectile is launched at 35 m/s at 30° to the horizontal. Find its range (g = 9.8 m/s²).
Formula:Projectile Range
$R = \dfrac{u^{2}\sin 2\theta}{g}$
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20.
Physics
Find the density of an object with mass 419 g and volume 46 cm³.
Formula:Density
$\rho = \dfrac{m}{V}$
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