Police & Armed Forces · Practice Sheet 50

1. 1.

   Physics

   A constant force of 14 N moves an object 40 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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2. 2.

   Physics

   Find the kinetic energy of a 13 kg object moving at 30 m/s.

   Formula:Kinetic Energy

   $KE = \tfrac{1}{2}mv^{2}$

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3. 3.

   Physics

   Find the voltage across a 2 Ω resistor carrying a current of 3 A.

   Formula:Ohm's Law

   $V = IR$

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4. 4.

   Quantitative Aptitude

   An item is bought for AED 200 and sold for AED 260. Find the profit percentage.

   Formula:Profit Percentage

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

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5. 5.

   Quantitative Aptitude

   What is 50% of 120?

   Formula:Percentage of a Number

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

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6. 6.

   Quantitative Aptitude

   A can finish a job in 4 days and B in 7 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 HCF and LCM of 13 and 17.

   Formula:LCM & HCF

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

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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

   Find the simple interest on AED 40,000 at 4% per annum for 3 year(s).

   Formula:Simple Interest

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

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10. 10.

    Physics

    A force of 919 N acts on an area of 24 m². Find the pressure.

    Formula:Pressure

    $P = \dfrac{F}{A}$

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11. 11.

    Quantitative Aptitude

    The marked price of an item is AED 1,800. After a 5% discount, find the selling price.

    Formula:Discount & Selling Price

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

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12. 12.

    Quantitative Aptitude

    An item is bought for AED 800 and sold for AED 1,120. Find the profit percentage.

    Formula:Profit Percentage

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

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13. 13.

    Quantitative Aptitude

    What is 10% of 640?

    Formula:Percentage of a Number

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

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14. 14.

    Quantitative Aptitude

    Divide AED 510 between two people in the ratio 3:7. 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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15. 15.

    Quantitative Aptitude

    A can finish a job in 9 days and B in 13 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

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16. 16.

    Quantitative Aptitude

    A value changes from 700 to 980. Find the percentage increase.

    Formula:Percentage Change

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

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17. 17.

    Quantitative Aptitude

    A invests AED 8,000 and B invests AED 8,000 for the same period. If the total profit is AED 35,000, find A's share.

    Formula:Partnership (profit share)

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

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18. 18.

    Physics

    Find the force required to accelerate a 50 kg mass at 14 m/s².

    Formula:Newton's Second Law (F = ma)

    $F = ma$

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19. 19.

    Quantitative Aptitude

    The sum of the ages of two people is 30 years, and one is 6 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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20. 20.

    Quantitative Aptitude

    Find the HCF and LCM of 14 and 24.

    Formula:LCM & HCF

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

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