Banking & Finance · Practice Sheet 30

1. 1.

   Quantitative Aptitude

   Two varieties costing AED 18 and AED 70 per kg are mixed to give a mixture worth AED 43 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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2. 2.

   Quantitative Aptitude

   The marked price of an item is AED 1,300. After a 15% discount, find the selling price.

   Formula:Discount & Selling Price

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

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3. 3.

   Quantitative Aptitude

   Two varieties costing AED 23 and AED 90 per kg are mixed to give a mixture worth AED 84 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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4. 4.

   Quantitative Aptitude

   A invests AED 10,000 and B invests AED 5,000 for the same period. If the total profit is AED 24,000, find A's share.

   Formula:Partnership (profit share)

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

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5. 5.

   Quantitative Aptitude

   Pipe A fills a tank in 7 hours and pipe B in 8 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

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6. 6.

   Quantitative Aptitude

   A invests AED 3,000 and B invests AED 6,000 for the same period. If the total profit is AED 40,000, find A's share.

   Formula:Partnership (profit share)

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

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7. 7.

   Quantitative Aptitude

   The sum of the ages of two people is 65 years, and one is 7 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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8. 8.

   Quantitative Aptitude

   A invests AED 9,000 and B invests AED 8,000 for the same period. If the total profit is AED 8,000, find A's share.

   Formula:Partnership (profit share)

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

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9. 9.

   Quantitative Aptitude

   Divide AED 1,850 between two people in the ratio 7:3. 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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10. 10.

    Quantitative Aptitude

    What is 60% of 820?

    Formula:Percentage of a Number

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

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11. 11.

    Quantitative Aptitude

    In how many ways can 2 objects be chosen from 10 distinct objects? (Find ⁿᴄᵣ for n = 10, r = 2.)

    Formula:Combinations

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

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12. 12.

    Quantitative Aptitude

    What is 30% of 1,040?

    Formula:Percentage of a Number

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

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13. 13.

    Quantitative Aptitude

    A value changes from 800 to 480. Find the percentage decrease.

    Formula:Percentage Change

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

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14. 14.

    Quantitative Aptitude

    A vehicle covers 426 km in 6 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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15. 15.

    Quantitative Aptitude

    The marked price of an item is AED 1,400. After a 20% discount, find the selling price.

    Formula:Discount & Selling Price

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

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16. 16.

    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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17. 17.

    Quantitative Aptitude

    Pipe A fills a tank in 3 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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18. 18.

    Quantitative Aptitude

    Find the compound interest on AED 14,000 at 10% per annum compounded annually for 2 years.

    Formula:Compound Interest

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

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19. 19.

    Quantitative Aptitude

    A vehicle covers 516 km in 6 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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20. 20.

    Quantitative Aptitude

    In how many ways can 3 objects be arranged out of 9 distinct objects? (Find ⁿᴘᵣ for n = 9, r = 3.)

    Formula:Permutations

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

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