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Civil Service · Practice Sheet 47

Sheet code: UAE-CIVIL-SERVICE-S47 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
In how many ways can 4 objects be arranged out of 6 distinct objects? (Find ⁿᴘᵣ for n = 6, r = 4.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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2.
Quantitative Aptitude
Divide AED 649 between two people in the ratio 6:5. 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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3.
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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4.
Quantitative Aptitude
In how many ways can 2 objects be arranged out of 7 distinct objects? (Find ⁿᴘᵣ for n = 7, r = 2.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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5.
Quantitative Aptitude
The marked price of an item is AED 2,000. After a 30% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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6.
Quantitative Aptitude
What is 75% of 720?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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7.
Quantitative Aptitude
A invests AED 3,000 and B invests AED 9,000 for the same period. If the total profit is AED 16,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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8.
Quantitative Aptitude
A value changes from 900 to 1,170. Find the percentage increase.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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9.
Quantitative Aptitude
What is 15% of 340?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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10.
Quantitative Aptitude
Find the HCF and LCM of 23 and 15.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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11.
Quantitative Aptitude
Divide AED 1,300 between two people in the ratio 3:2. 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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12.
Quantitative Aptitude
A invests AED 5,000 and B invests AED 7,000 for the same period. If the total profit is AED 25,000, 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
Find the HCF and LCM of 25 and 40.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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14.
Quantitative Aptitude
A value changes from 300 to 375. Find the percentage increase.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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15.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 10 distinct objects? (Find ⁿᴄᵣ for n = 10, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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16.
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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17.
Quantitative Aptitude
A invests AED 9,000 and B invests AED 6,000 for the same period. If the total profit is AED 32,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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18.
Quantitative Aptitude
Pipe A fills a tank in 9 hours and pipe B in 10 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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19.
Quantitative Aptitude
A can finish a job in 16 days and B in 17 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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20.
Quantitative Aptitude
Divide AED 1,309 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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