Police & Armed Forces · Practice Sheet 24

1. 1.

   Quantitative Aptitude

   In how many ways can 3 objects be chosen from 5 distinct objects? (Find ⁿᴄᵣ for n = 5, r = 3.)

   Formula:Combinations

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

   View formula →
2. 2.

   Physics

   Calculate the potential energy of a 42 kg object at a height of 19 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

   View formula →
3. 3.

   Quantitative Aptitude

   An item is bought for AED 400 and sold for AED 560. Find the profit percentage.

   Formula:Profit Percentage

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

   View formula →
4. 4.

   Physics

   Find the density of an object with mass 138 g and volume 40 cm³.

   Formula:Density

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

   View formula →
5. 5.

   Quantitative Aptitude

   What is 50% of 1,140?

   Formula:Percentage of a Number

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

   View formula →
6. 6.

   Quantitative Aptitude

   A value changes from 600 to 720. Find the percentage increase.

   Formula:Percentage Change

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

   View formula →
7. 7.

   Physics

   A force of 223 N acts on an area of 41 m². Find the pressure.

   Formula:Pressure

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

   View formula →
8. 8.

   Physics

   A constant force of 49 N moves an object 36 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

   View formula →
9. 9.

   Quantitative Aptitude

   Pipe A fills a tank in 9 hours and pipe B in 14 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

   View formula →
10. 10.

    Quantitative Aptitude

    Find the simple interest on AED 21,000 at 8% per annum for 5 year(s).

    Formula:Simple Interest

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

    View formula →
11. 11.

    Quantitative Aptitude

    Find the average of these 8 numbers: 56, 35, 66, 86, 60, 41, 77, 67.

    Formula:Arithmetic Mean

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

    View formula →
12. 12.

    Quantitative Aptitude

    A vehicle covers 385 km in 7 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

    View formula →
13. 13.

    Physics

    If 2,920 J of work is done in 11 s, find the power.

    Formula:Power

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

    View formula →
14. 14.

    Physics

    Find the density of an object with mass 389 g and volume 49 cm³.

    Formula:Density

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

    View formula →
15. 15.

    Physics

    If 2,289 J of work is done in 14 s, find the power.

    Formula:Power

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

    View formula →
16. 16.

    Physics

    Find the voltage across a 33 Ω resistor carrying a current of 5 A.

    Formula:Ohm's Law

    $V = IR$

    View formula →
17. 17.

    Physics

    A force of 275 N acts on an area of 13 m². Find the pressure.

    Formula:Pressure

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

    View formula →
18. 18.

    Quantitative Aptitude

    Two varieties costing AED 11 and AED 93 per kg are mixed to give a mixture worth AED 75 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)

    $\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$

    View formula →
19. 19.

    Physics

    Find the density of an object with mass 23 g and volume 15 cm³.

    Formula:Density

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

    View formula →
20. 20.

    Physics

    A force of 163 N acts on an area of 41 m². Find the pressure.

    Formula:Pressure

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

    View formula →

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