Civil Service · Practice Sheet 19

1. 1.

   Quantitative Aptitude

   A vehicle covers 390 km in 5 hours. Find its average speed.

   Formula:Speed, Distance & Time

   $\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$

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2. 2.

   Quantitative Aptitude

   Divide AED 1,120 between two people in the ratio 3:5. 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. 3.

   Quantitative Aptitude

   The marked price of an item is AED 1,300. After a 10% discount, find the selling price.

   Formula:Discount & Selling Price

   $SP = MP\left(1-\dfrac{d}{100}\right)$

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4. 4.

   Quantitative Aptitude

   Find the HCF and LCM of 6 and 29.

   Formula:LCM & HCF

   $\text{LCM}\times\text{HCF} = a\times b$

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5. 5.

   Quantitative Aptitude

   A value changes from 800 to 720. Find the percentage decrease.

   Formula:Percentage Change

   $\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$

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6. 6.

   Quantitative Aptitude

   The marked price of an item is AED 1,100. After a 30% discount, find the selling price.

   Formula:Discount & Selling Price

   $SP = MP\left(1-\dfrac{d}{100}\right)$

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7. 7.

   Quantitative Aptitude

   Two varieties costing AED 19 and AED 95 per kg are mixed to give a mixture worth AED 55 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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8. 8.

   Quantitative Aptitude

   Two fair dice are rolled. What is the probability that the sum of the numbers is 4?

   Formula:Probability (two dice)

   $P = \dfrac{\text{favourable}}{\text{total}}$

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9. 9.

   Quantitative Aptitude

   What is 50% of 960?

   Formula:Percentage of a Number

   $\text{Value} = \dfrac{P}{100}\times N$

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10. 10.

    Quantitative Aptitude

    A invests AED 6,000 and B invests AED 8,000 for the same period. If the total profit is AED 33,000, find A's share.

    Formula:Partnership (profit share)

    $\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$

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11. 11.

    Quantitative Aptitude

    A vehicle covers 336 km in 4 hours. Find its average speed.

    Formula:Speed, Distance & Time

    $\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$

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12. 12.

    Quantitative Aptitude

    A value changes from 700 to 560. Find the percentage decrease.

    Formula:Percentage Change

    $\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$

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13. 13.

    Quantitative Aptitude

    Two varieties costing AED 15 and AED 66 per kg are mixed to give a mixture worth AED 27 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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14. 14.

    Quantitative Aptitude

    Pipe A fills a tank in 10 hours and pipe B in 6 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

    $T = \dfrac{xy}{x+y}$

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15. 15.

    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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16. 16.

    Quantitative Aptitude

    A value changes from 500 to 250. Find the percentage decrease.

    Formula:Percentage Change

    $\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$

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17. 17.

    Quantitative Aptitude

    Find the simple interest on AED 43,000 at 8% per annum for 3 year(s).

    Formula:Simple Interest

    $SI = \dfrac{P\times R\times T}{100}$

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18. 18.

    Quantitative Aptitude

    Find the compound interest on AED 12,000 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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19. 19.

    Quantitative Aptitude

    Divide AED 2,538 between two people in the ratio 4:5. 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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20. 20.

    Quantitative Aptitude

    Pipe A fills a tank in 12 hours and pipe B in 5 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

    $T = \dfrac{xy}{x+y}$

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