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Police & Armed Forces · Practice Sheet 42

Sheet code: UAE-POLICE-S42 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
A invests AED 4,000 and B invests AED 6,000 for the same period. If the total profit is AED 20,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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2.
Physics
A constant force of 72 N moves an object 31 m in the direction of the force. Calculate the work done.
Formula:Work Done
$W = F\,d$
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3.
Physics
A projectile is launched at 35 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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4.
Physics
Find the electrical power when 162 V drives a current of 10 A.
Formula:Electrical Power
$P = VI$
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5.
Quantitative Aptitude
A invests AED 9,000 and B invests AED 5,000 for the same period. If the total profit is AED 29,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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6.
Quantitative Aptitude
Pipe A fills a tank in 7 hours and pipe B in 9 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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7.
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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8.
Physics
A body moving at 13 m/s accelerates at 7 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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9.
Quantitative Aptitude
In how many ways can 2 objects be chosen from 5 distinct objects? (Find ⁿᴄᵣ for n = 5, r = 2.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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10.
Physics
A force of 51 N acts on an area of 41 m². Find the pressure.
Formula:Pressure
$P = \dfrac{F}{A}$
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11.
Physics
An object starts at 14 m/s and accelerates at 7 m/s² for 3 s. Find its final velocity.
Formula:Equation of Motion (v = u + at)
$v = u + at$
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12.
Physics
Find the electrical power when 6 V drives a current of 18 A.
Formula:Electrical Power
$P = VI$
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13.
Physics
A constant force of 107 N moves an object 2 m in the direction of the force. Calculate the work done.
Formula:Work Done
$W = F\,d$
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14.
Quantitative Aptitude
Divide AED 504 between two people in the ratio 3:4. 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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15.
Quantitative Aptitude
Two varieties costing AED 39 and AED 94 per kg are mixed to give a mixture worth AED 86 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.
Quantitative Aptitude
In how many ways can 4 objects be arranged out of 8 distinct objects? (Find ⁿᴘᵣ for n = 8, r = 4.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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17.
Physics
Calculate the potential energy of a 46 kg object at a height of 26 m (g = 9.8 m/s²).
Formula:Gravitational Potential Energy
$PE = mgh$
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18.
Physics
A projectile is launched at 43 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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19.
Quantitative Aptitude
The sum of the ages of two people is 79 years, and one is 19 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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20.
Physics
A projectile is launched at 14 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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