Civil Service · Practice Sheet 27

1. 1.

   Quantitative Aptitude

   A value changes from 700 to 735. Find the percentage increase.

   Formula:Percentage Change

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

   View formula →
2. 2.

   Quantitative Aptitude

   Divide AED 976 between two people in the ratio 3:5. How much does each receive?

   Formula:Sharing in a Ratio

   $\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$

   View formula →
3. 3.

   Quantitative Aptitude

   Find the average of these 6 numbers: 28, 29, 90, 43, 81, 70.

   Formula:Arithmetic Mean

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

   View formula →
4. 4.

   Quantitative Aptitude

   What is 60% of 260?

   Formula:Percentage of a Number

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

   View formula →
5. 5.

   Quantitative Aptitude

   Divide AED 1,285 between two people in the ratio 2:3. How much does each receive?

   Formula:Sharing in a Ratio

   $\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$

   View formula →
6. 6.

   Quantitative Aptitude

   Two varieties costing AED 27 and AED 98 per kg are mixed to give a mixture worth AED 60 per kg. Find the mixing ratio.

   Formula:Alligation (Mixtures)

   $\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$

   View formula →
7. 7.

   Quantitative Aptitude

   A invests AED 3,000 and B invests AED 9,000 for the same period. If the total profit is AED 24,000, find A's share.

   Formula:Partnership (profit share)

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

   View formula →
8. 8.

   Quantitative Aptitude

   The marked price of an item is AED 500. After a 20% discount, find the selling price.

   Formula:Discount & Selling Price

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

   View formula →
9. 9.

   Quantitative Aptitude

   A vehicle covers 232 km in 4 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

   View formula →
10. 10.

    Quantitative Aptitude

    In how many ways can 2 objects be arranged out of 9 distinct objects? (Find ⁿᴘᵣ for n = 9, r = 2.)

    Formula:Permutations

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

    View formula →
11. 11.

    Quantitative Aptitude

    Find the average of these 5 numbers: 45, 59, 29, 84, 55.

    Formula:Arithmetic Mean

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

    View formula →
12. 12.

    Quantitative Aptitude

    In how many ways can 3 objects be arranged out of 8 distinct objects? (Find ⁿᴘᵣ for n = 8, r = 3.)

    Formula:Permutations

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

    View formula →
13. 13.

    Quantitative Aptitude

    A can finish a job in 15 days and B in 12 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

    View formula →
14. 14.

    Quantitative Aptitude

    Find the average of these 6 numbers: 51, 62, 59, 23, 36, 89.

    Formula:Arithmetic Mean

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

    View formula →
15. 15.

    Quantitative Aptitude

    The sum of the ages of two people is 32 years, and one is 12 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

    View formula →
16. 16.

    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 7?

    Formula:Probability (two dice)

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

    View formula →
17. 17.

    Quantitative Aptitude

    Two varieties costing AED 26 and AED 77 per kg are mixed to give a mixture worth AED 40 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)

    $\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$

    View formula →
18. 18.

    Quantitative Aptitude

    A vehicle covers 150 km in 3 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

    View formula →
19. 19.

    Quantitative Aptitude

    Find the average of these 10 numbers: 21, 44, 88, 88, 73, 72, 85, 57, 86, 86.

    Formula:Arithmetic Mean

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

    View formula →
20. 20.

    Quantitative Aptitude

    A can finish a job in 4 days and B in 6 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.