Police & Armed Forces · Practice Sheet 18

1. 1.

   Physics

   Calculate the potential energy of a 24 kg object at a height of 47 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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2. 2.

   Quantitative Aptitude

   An item is bought for AED 500 and sold for AED 600. Find the profit percentage.

   Formula:Profit Percentage

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

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3. 3.

   Quantitative Aptitude

   The sum of the ages of two people is 71 years, and one is 13 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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4. 4.

   Quantitative Aptitude

   A can finish a job in 13 days and B in 8 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

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5. 5.

   Quantitative Aptitude

   Find the compound interest on AED 4,000 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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6. 6.

   Physics

   Find the kinetic energy of a 2 kg object moving at 27 m/s.

   Formula:Kinetic Energy

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

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7. 7.

   Quantitative Aptitude

   Find the simple interest on AED 14,000 at 6% per annum for 6 year(s).

   Formula:Simple Interest

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

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8. 8.

   Physics

   Find the force required to accelerate a 24 kg mass at 6 m/s².

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

   $F = ma$

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9. 9.

   Quantitative Aptitude

   A value changes from 800 to 400. Find the percentage decrease.

   Formula:Percentage Change

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

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10. 10.

    Quantitative Aptitude

    In how many ways can 4 objects be chosen from 7 distinct objects? (Find ⁿᴄᵣ for n = 7, r = 4.)

    Formula:Combinations

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

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11. 11.

    Quantitative Aptitude

    Find the HCF and LCM of 34 and 10.

    Formula:LCM & HCF

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

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12. 12.

    Physics

    Find the electrical power when 170 V drives a current of 20 A.

    Formula:Electrical Power

    $P = VI$

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13. 13.

    Physics

    A force of 341 N acts on an area of 39 m². Find the pressure.

    Formula:Pressure

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

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14. 14.

    Quantitative Aptitude

    An item is bought for AED 300 and sold for AED 375. Find the profit percentage.

    Formula:Profit Percentage

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

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15. 15.

    Physics

    Find the kinetic energy of a 4 kg object moving at 23 m/s.

    Formula:Kinetic Energy

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

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16. 16.

    Physics

    Find the force required to accelerate a 46 kg mass at 8 m/s².

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

    $F = ma$

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17. 17.

    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 9?

    Formula:Probability (two dice)

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

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18. 18.

    Quantitative Aptitude

    Find the average of these 5 numbers: 85, 90, 59, 45, 20.

    Formula:Arithmetic Mean

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

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19. 19.

    Physics

    Find the momentum of a 10 kg body moving at 38 m/s.

    Formula:Linear Momentum

    $p = mv$

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20. 20.

    Physics

    A body moving at 1 m/s accelerates at 3 m/s² for 6 s. Find the distance travelled.

    Formula:Equation of Motion (s = ut + ½at²)

    $s = ut + \tfrac{1}{2}at^{2}$

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