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Police & Armed Forces · Practice Sheet 12

Sheet code: UAE-POLICE-S12 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
The marked price of an item is AED 2,000. After a 5% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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2.
Physics
A force of 842 N acts on an area of 15 m². Find the pressure.
Formula:Pressure
$P = \dfrac{F}{A}$
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3.
Quantitative Aptitude
Find the compound interest on AED 11,000 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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4.
Quantitative Aptitude
A invests AED 5,000 and B invests AED 8,000 for the same period. If the total profit is AED 39,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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5.
Quantitative Aptitude
Find the average of these 6 numbers: 41, 77, 69, 51, 53, 90.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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6.
Quantitative Aptitude
A can finish a job in 7 days and B in 6 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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7.
Physics
Find the force required to accelerate a 37 kg mass at 4 m/s².
Formula:Newton's Second Law (F = ma)
$F = ma$
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8.
Quantitative Aptitude
The sum of the ages of two people is 75 years, and one is 7 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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9.
Physics
A projectile is launched at 29 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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10.
Quantitative Aptitude
A value changes from 200 to 300. Find the percentage increase.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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11.
Quantitative Aptitude
Find the average of these 5 numbers: 61, 78, 85, 48, 73.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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12.
Quantitative Aptitude
Find the HCF and LCM of 15 and 23.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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13.
Physics
A constant force of 141 N moves an object 26 m in the direction of the force. Calculate the work done.
Formula:Work Done
$W = F\,d$
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14.
Physics
Find the momentum of a 21 kg body moving at 23 m/s.
Formula:Linear Momentum
$p = mv$
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15.
Quantitative Aptitude
Two varieties costing AED 36 and AED 60 per kg are mixed to give a mixture worth AED 49 per kg. Find the mixing ratio.
Formula:Alligation (Mixtures)
$\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$
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16.
Physics
Find the density of an object with mass 490 g and volume 23 cm³.
Formula:Density
$\rho = \dfrac{m}{V}$
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17.
Physics
Calculate the potential energy of a 18 kg object at a height of 3 m (g = 9.8 m/s²).
Formula:Gravitational Potential Energy
$PE = mgh$
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18.
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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19.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 6?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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20.
Quantitative Aptitude
Divide AED 1,918 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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