Civil Service · Practice Sheet 20

1. 1.

   Quantitative Aptitude

   Find the average of these 6 numbers: 63, 49, 58, 79, 39, 25.

   Formula:Arithmetic Mean

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

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2. 2.

   Quantitative Aptitude

   Two varieties costing AED 33 and AED 95 per kg are mixed to give a mixture worth AED 54 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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3. 3.

   Quantitative Aptitude

   A invests AED 4,000 and B invests AED 8,000 for the same period. If the total profit is AED 29,000, find A's share.

   Formula:Partnership (profit share)

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

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4. 4.

   Quantitative Aptitude

   The sum of the ages of two people is 40 years, and one is 4 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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5. 5.

   Quantitative Aptitude

   Find the average of these 10 numbers: 56, 59, 44, 52, 37, 89, 69, 70, 63, 54.

   Formula:Arithmetic Mean

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

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6. 6.

   Quantitative Aptitude

   A can finish a job in 11 days and B in 14 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

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7. 7.

   Quantitative Aptitude

   Find the simple interest on AED 6,000 at 12% per annum for 2 year(s).

   Formula:Simple Interest

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

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8. 8.

   Quantitative Aptitude

   Find the compound interest on AED 20,000 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. 9.

   Quantitative Aptitude

   The marked price of an item is AED 900. After a 30% discount, find the selling price.

   Formula:Discount & Selling Price

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

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10. 10.

    Quantitative Aptitude

    What is 20% of 360?

    Formula:Percentage of a Number

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

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11. 11.

    Quantitative Aptitude

    Divide AED 798 between two people in the ratio 7:7. 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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12. 12.

    Quantitative Aptitude

    A vehicle covers 688 km in 8 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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13. 13.

    Quantitative Aptitude

    An item is bought for AED 700 and sold for AED 840. Find the profit percentage.

    Formula:Profit Percentage

    $\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$

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14. 14.

    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 10?

    Formula:Probability (two dice)

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

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15. 15.

    Quantitative Aptitude

    Divide AED 1,647 between two people in the ratio 6:3. 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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16. 16.

    Quantitative Aptitude

    Two varieties costing AED 32 and AED 71 per kg are mixed to give a mixture worth AED 60 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. 17.

    Quantitative Aptitude

    The sum of the ages of two people is 78 years, and one is 12 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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18. 18.

    Quantitative Aptitude

    Two varieties costing AED 11 and AED 72 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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19. 19.

    Quantitative Aptitude

    Find the simple interest on AED 26,000 at 5% per annum for 4 year(s).

    Formula:Simple Interest

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

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20. 20.

    Quantitative Aptitude

    In how many ways can 3 objects be chosen from 8 distinct objects? (Find ⁿᴄᵣ for n = 8, r = 3.)

    Formula:Combinations

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

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