Police & Armed Forces · Practice Sheet 27

1. 1.

   Physics

   Calculate the potential energy of a 19 kg object at a height of 45 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

   View formula →
2. 2.

   Physics

   Find the kinetic energy of a 10 kg object moving at 22 m/s.

   Formula:Kinetic Energy

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

   View formula →
3. 3.

   Physics

   Calculate the potential energy of a 49 kg object at a height of 2 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

   View formula →
4. 4.

   Physics

   Find the momentum of a 4 kg body moving at 6 m/s.

   Formula:Linear Momentum

   $p = mv$

   View formula →
5. 5.

   Quantitative Aptitude

   A value changes from 800 to 840. Find the percentage increase.

   Formula:Percentage Change

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

   View formula →
6. 6.

   Quantitative Aptitude

   The marked price of an item is AED 1,000. After a 5% discount, find the selling price.

   Formula:Discount & Selling Price

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

   View formula →
7. 7.

   Physics

   A projectile is launched at 22 m/s at 60° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

   $R = \dfrac{u^{2}\sin 2\theta}{g}$

   View formula →
8. 8.

   Physics

   Find the density of an object with mass 433 g and volume 41 cm³.

   Formula:Density

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

   View formula →
9. 9.

   Quantitative Aptitude

   Find the average of these 10 numbers: 55, 64, 31, 76, 54, 77, 45, 43, 35, 78.

   Formula:Arithmetic Mean

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

   View formula →
10. 10.

    Quantitative Aptitude

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

    Formula:Discount & Selling Price

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

    View formula →
11. 11.

    Physics

    A body moving at 0 m/s accelerates at 6 m/s² for 4 s. Find the distance travelled.

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

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

    View formula →
12. 12.

    Quantitative Aptitude

    A can finish a job in 18 days and B in 20 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

    View formula →
13. 13.

    Physics

    An object starts at 0 m/s and accelerates at 10 m/s² for 8 s. Find its final velocity.

    Formula:Equation of Motion (v = u + at)

    $v = u + at$

    View formula →
14. 14.

    Physics

    Find the kinetic energy of a 16 kg object moving at 23 m/s.

    Formula:Kinetic Energy

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

    View formula →
15. 15.

    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

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

    View formula →
16. 16.

    Quantitative Aptitude

    Divide AED 1,152 between two people in the ratio 2:6. How much does each receive?

    Formula:Sharing in a Ratio

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

    View formula →
17. 17.

    Physics

    A force of 604 N acts on an area of 27 m². Find the pressure.

    Formula:Pressure

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

    View formula →
18. 18.

    Physics

    Find the kinetic energy of a 20 kg object moving at 8 m/s.

    Formula:Kinetic Energy

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

    View formula →
19. 19.

    Quantitative Aptitude

    A can finish a job in 18 days and B in 6 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

    View formula →
20. 20.

    Quantitative Aptitude

    Find the average of these 6 numbers: 82, 58, 22, 39, 76, 20.

    Formula:Arithmetic Mean

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

    View formula →

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