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Police & Armed Forces · Practice Sheet 48

Sheet code: UAE-POLICE-S48 · 20 questions

Name: ______________

Date: ______________

1.
Physics
An object starts at 20 m/s and accelerates at 4 m/s² for 10 s. Find its final velocity.
Formula:Equation of Motion (v = u + at)
$v = u + at$
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2.
Quantitative Aptitude
An item is bought for AED 300 and sold for AED 330. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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3.
Quantitative Aptitude
The marked price of an item is AED 1,000. After a 25% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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4.
Physics
Find the density of an object with mass 427 g and volume 15 cm³.
Formula:Density
$\rho = \dfrac{m}{V}$
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5.
Quantitative Aptitude
What is 20% of 500?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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6.
Quantitative Aptitude
A invests AED 5,000 and B invests AED 2,000 for the same period. If the total profit is AED 7,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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7.
Physics
A body moving at 3 m/s accelerates at 4 m/s² for 5 s. Find the distance travelled.
Formula:Equation of Motion (s = ut + ½at²)
$s = ut + \tfrac{1}{2}at^{2}$
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8.
Physics
An object starts at 0 m/s and accelerates at 6 m/s² for 8 s. Find its final velocity.
Formula:Equation of Motion (v = u + at)
$v = u + at$
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9.
Quantitative Aptitude
Find the compound interest on AED 4,000 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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10.
Physics
An object starts at 9 m/s and accelerates at 5 m/s² for 12 s. Find its final velocity.
Formula:Equation of Motion (v = u + at)
$v = u + at$
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11.
Quantitative Aptitude
Pipe A fills a tank in 4 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
An item is bought for AED 300 and sold for AED 330. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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13.
Physics
A projectile is launched at 12 m/s at 45° 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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14.
Quantitative Aptitude
The sum of the ages of two people is 74 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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15.
Quantitative Aptitude
A value changes from 800 to 560. Find the percentage decrease.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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16.
Quantitative Aptitude
A invests AED 5,000 and B invests AED 8,000 for the same period. If the total profit is AED 19,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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17.
Quantitative Aptitude
Find the average of these 10 numbers: 36, 42, 70, 54, 38, 58, 85, 72, 85, 37.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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18.
Quantitative Aptitude
A vehicle covers 128 km in 2 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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19.
Quantitative Aptitude
In how many ways can 3 objects be arranged out of 6 distinct objects? (Find ⁿᴘᵣ for n = 6, r = 3.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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20.
Physics
Find the density of an object with mass 243 g and volume 4 cm³.
Formula:Density
$\rho = \dfrac{m}{V}$
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