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Police & Armed Forces · Practice Sheet 41

Sheet code: UAE-POLICE-S41 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
In how many ways can 2 objects be chosen from 9 distinct objects? (Find ⁿᴄᵣ for n = 9, r = 2.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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2.
Quantitative Aptitude
A invests AED 4,000 and B invests AED 10,000 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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3.
Quantitative Aptitude
In how many ways can 3 objects be chosen from 6 distinct objects? (Find ⁿᴄᵣ for n = 6, r = 3.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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4.
Quantitative Aptitude
What is 15% of 360?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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5.
Quantitative Aptitude
The marked price of an item is AED 2,000. After a 50% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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6.
Physics
A constant force of 59 N moves an object 23 m in the direction of the force. Calculate the work done.
Formula:Work Done
$W = F\,d$
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7.
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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8.
Quantitative Aptitude
Find the compound interest on AED 6,000 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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9.
Physics
Find the voltage across a 21 Ω resistor carrying a current of 14 A.
Formula:Ohm's Law
$V = IR$
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10.
Physics
Find the electrical power when 77 V drives a current of 11 A.
Formula:Electrical Power
$P = VI$
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11.
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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12.
Quantitative Aptitude
A invests AED 7,000 and B invests AED 3,000 for the same period. If the total profit is AED 11,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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13.
Quantitative Aptitude
A vehicle covers 498 km in 6 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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14.
Quantitative Aptitude
Find the average of these 10 numbers: 80, 44, 39, 79, 22, 43, 84, 67, 56, 77.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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15.
Quantitative Aptitude
Find the HCF and LCM of 10 and 16.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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16.
Physics
Find the kinetic energy of a 2 kg object moving at 25 m/s.
Formula:Kinetic Energy
$KE = \tfrac{1}{2}mv^{2}$
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17.
Quantitative Aptitude
Two varieties costing AED 40 and AED 97 per kg are mixed to give a mixture worth AED 74 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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18.
Quantitative Aptitude
What is 75% of 920?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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19.
Quantitative Aptitude
A invests AED 7,000 and B invests AED 9,000 for the same period. If the total profit is AED 37,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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20.
Quantitative Aptitude
Find the HCF and LCM of 36 and 15.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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