Civil Service · Practice Sheet 21

1. 1.

   Quantitative Aptitude

   A value changes from 200 to 250. Find the percentage increase.

   Formula:Percentage Change

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

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2. 2.

   Quantitative Aptitude

   In how many ways can 3 objects be arranged out of 6 distinct objects? (Find ⁿᴘᵣ for n = 6, r = 3.)

   Formula:Permutations

   $^{n}P_{r} = \dfrac{n!}{(n-r)!}$

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3. 3.

   Quantitative Aptitude

   Find the HCF and LCM of 7 and 25.

   Formula:LCM & HCF

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

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4. 4.

   Quantitative Aptitude

   A value changes from 400 to 240. Find the percentage decrease.

   Formula:Percentage Change

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

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5. 5.

   Quantitative Aptitude

   Find the compound interest on AED 6,000 at 20% per annum compounded annually for 3 years.

   Formula:Compound Interest

   $A = P\left(1+\dfrac{R}{100}\right)^{T}$

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6. 6.

   Quantitative Aptitude

   Two varieties costing AED 38 and AED 69 per kg are mixed to give a mixture worth AED 52 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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7. 7.

   Quantitative Aptitude

   The marked price of an item is AED 700. After a 40% discount, find the selling price.

   Formula:Discount & Selling Price

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

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8. 8.

   Quantitative Aptitude

   Pipe A fills a tank in 15 hours and pipe B in 11 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

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9. 9.

   Quantitative Aptitude

   Two varieties costing AED 37 and AED 65 per kg are mixed to give a mixture worth AED 53 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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10. 10.

    Quantitative Aptitude

    A can finish a job in 13 days and B in 15 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

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11. 11.

    Quantitative Aptitude

    Divide AED 1,740 between two people in the ratio 6:6. 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. 12.

    Quantitative Aptitude

    Find the average of these 5 numbers: 85, 36, 52, 49, 67.

    Formula:Arithmetic Mean

    $\bar{x} = \dfrac{\sum x}{n}$

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13. 13.

    Quantitative Aptitude

    A vehicle covers 738 km in 9 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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14. 14.

    Quantitative Aptitude

    Find the average of these 6 numbers: 25, 35, 31, 53, 81, 82.

    Formula:Arithmetic Mean

    $\bar{x} = \dfrac{\sum x}{n}$

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15. 15.

    Quantitative Aptitude

    Find the HCF and LCM of 26 and 19.

    Formula:LCM & HCF

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

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16. 16.

    Quantitative Aptitude

    What is 50% of 320?

    Formula:Percentage of a Number

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

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17. 17.

    Quantitative Aptitude

    A vehicle covers 342 km in 9 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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18. 18.

    Quantitative Aptitude

    Two varieties costing AED 30 and AED 94 per kg are mixed to give a mixture worth AED 82 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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19. 19.

    Quantitative Aptitude

    A invests AED 9,000 and B invests AED 5,000 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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20. 20.

    Quantitative Aptitude

    Divide AED 855 between two people in the ratio 2:7. 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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