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Police & Armed Forces · Practice Sheet 8

Sheet code: UAE-POLICE-S08 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Divide AED 1,224 between two people in the ratio 5:3. 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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2.
Quantitative Aptitude
A invests AED 6,000 and B invests AED 7,000 for the same period. If the total profit is AED 35,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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3.
Quantitative Aptitude
A can finish a job in 14 days and B in 18 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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4.
Quantitative Aptitude
Pipe A fills a tank in 13 hours and pipe B in 10 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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5.
Quantitative Aptitude
The sum of the ages of two people is 65 years, and one is 9 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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6.
Physics
Find the kinetic energy of a 11 kg object moving at 9 m/s.
Formula:Kinetic Energy
$KE = \tfrac{1}{2}mv^{2}$
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7.
Quantitative Aptitude
Divide AED 2,977 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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8.
Quantitative Aptitude
Pipe A fills a tank in 3 hours and pipe B in 8 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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9.
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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10.
Quantitative Aptitude
The marked price of an item is AED 1,600. After a 20% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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11.
Physics
A body moving at 9 m/s accelerates at 4 m/s² for 8 s. Find the distance travelled.
Formula:Equation of Motion (s = ut + ½at²)
$s = ut + \tfrac{1}{2}at^{2}$
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12.
Quantitative Aptitude
Divide AED 1,104 between two people in the ratio 3:3. 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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13.
Physics
A force of 565 N acts on an area of 41 m². Find the pressure.
Formula:Pressure
$P = \dfrac{F}{A}$
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14.
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
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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15.
Quantitative Aptitude
Find the simple interest on AED 48,000 at 10% per annum for 5 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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16.
Quantitative Aptitude
An item is bought for AED 700 and sold for AED 840. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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17.
Physics
Calculate the potential energy of a 2 kg object at a height of 6 m (g = 9.8 m/s²).
Formula:Gravitational Potential Energy
$PE = mgh$
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18.
Physics
A force of 789 N acts on an area of 40 m². Find the pressure.
Formula:Pressure
$P = \dfrac{F}{A}$
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19.
Quantitative Aptitude
Find the compound interest on AED 15,000 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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20.
Quantitative Aptitude
A vehicle covers 228 km in 3 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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