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Police & Armed Forces · Practice Sheet 34

Sheet code: UAE-POLICE-S34 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
The marked price of an item is AED 1,500. After a 40% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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2.
Physics
If 2,386 J of work is done in 42 s, find the power.
Formula:Power
$P = \dfrac{W}{t}$
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3.
Physics
A force of 679 N acts on an area of 13 m². Find the pressure.
Formula:Pressure
$P = \dfrac{F}{A}$
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4.
Quantitative Aptitude
A vehicle covers 231 km in 7 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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5.
Quantitative Aptitude
Find the HCF and LCM of 8 and 29.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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6.
Quantitative Aptitude
A invests AED 3,000 and B invests AED 7,000 for the same period. If the total profit is AED 5,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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7.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 7?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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8.
Quantitative Aptitude
A vehicle covers 783 km in 9 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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9.
Physics
Find the electrical power when 4 V drives a current of 1 A.
Formula:Electrical Power
$P = VI$
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10.
Quantitative Aptitude
Divide AED 710 between two people in the ratio 3:7. 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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11.
Quantitative Aptitude
Pipe A fills a tank in 3 hours and pipe B in 12 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
In how many ways can 3 objects be arranged out of 5 distinct objects? (Find ⁿᴘᵣ for n = 5, r = 3.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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13.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 5 distinct objects? (Find ⁿᴄᵣ for n = 5, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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14.
Physics
A constant force of 17 N moves an object 25 m in the direction of the force. Calculate the work done.
Formula:Work Done
$W = F\,d$
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15.
Physics
Find the voltage across a 3 Ω resistor carrying a current of 9 A.
Formula:Ohm's Law
$V = IR$
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16.
Quantitative Aptitude
Two varieties costing AED 40 and AED 93 per kg are mixed to give a mixture worth AED 88 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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17.
Quantitative Aptitude
A can finish a job in 15 days and B in 19 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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18.
Physics
An object starts at 16 m/s and accelerates at 10 m/s² for 2 s. Find its final velocity.
Formula:Equation of Motion (v = u + at)
$v = u + at$
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19.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 8 distinct objects? (Find ⁿᴄᵣ for n = 8, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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20.
Physics
A projectile is launched at 42 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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