Police & Armed Forces · Practice Sheet 30

1. 1.

   Quantitative Aptitude

   Find the average of these 5 numbers: 41, 69, 42, 76, 31.

   Formula:Arithmetic Mean

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

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2. 2.

   Physics

   If 2,318 J of work is done in 38 s, find the power.

   Formula:Power

   $P = \dfrac{W}{t}$

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3. 3.

   Quantitative Aptitude

   Find the average of these 5 numbers: 43, 28, 28, 77, 87.

   Formula:Arithmetic Mean

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

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4. 4.

   Physics

   Calculate the potential energy of a 43 kg object at a height of 22 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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5. 5.

   Physics

   Find the density of an object with mass 490 g and volume 7 cm³.

   Formula:Density

   $\rho = \dfrac{m}{V}$

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6. 6.

   Quantitative Aptitude

   In how many ways can 4 objects be arranged out of 9 distinct objects? (Find ⁿᴘᵣ for n = 9, r = 4.)

   Formula:Permutations

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

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7. 7.

   Quantitative Aptitude

   What is 50% of 980?

   Formula:Percentage of a Number

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

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8. 8.

   Quantitative Aptitude

   Find the average of these 10 numbers: 66, 24, 60, 23, 51, 72, 24, 58, 31, 34.

   Formula:Arithmetic Mean

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

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9. 9.

   Physics

   Find the force required to accelerate a 45 kg mass at 15 m/s².

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

   $F = ma$

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10. 10.

    Physics

    Find the density of an object with mass 259 g and volume 17 cm³.

    Formula:Density

    $\rho = \dfrac{m}{V}$

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11. 11.

    Quantitative Aptitude

    A can finish a job in 19 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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12. 12.

    Physics

    Find the voltage across a 50 Ω resistor carrying a current of 7 A.

    Formula:Ohm's Law

    $V = IR$

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13. 13.

    Physics

    Calculate the potential energy of a 3 kg object at a height of 7 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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14. 14.

    Physics

    Find the kinetic energy of a 5 kg object moving at 12 m/s.

    Formula:Kinetic Energy

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

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15. 15.

    Physics

    If 965 J of work is done in 18 s, find the power.

    Formula:Power

    $P = \dfrac{W}{t}$

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16. 16.

    Physics

    Calculate the potential energy of a 5 kg object at a height of 20 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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17. 17.

    Quantitative Aptitude

    The marked price of an item is AED 700. After a 15% discount, find the selling price.

    Formula:Discount & Selling Price

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

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18. 18.

    Physics

    A force of 518 N acts on an area of 48 m². Find the pressure.

    Formula:Pressure

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

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19. 19.

    Quantitative Aptitude

    The sum of the ages of two people is 49 years, and one is 11 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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20. 20.

    Quantitative Aptitude

    In how many ways can 4 objects be arranged out of 6 distinct objects? (Find ⁿᴘᵣ for n = 6, r = 4.)

    Formula:Permutations

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

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