Police & Armed Forces · Practice Sheet 47

1. 1.

   Quantitative Aptitude

   A value changes from 400 to 460. Find the percentage increase.

   Formula:Percentage Change

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

   View formula →
2. 2.

   Physics

   An object starts at 1 m/s and accelerates at 10 m/s² for 3 s. Find its final velocity.

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

   $v = u + at$

   View formula →
3. 3.

   Quantitative Aptitude

   A invests AED 8,000 and B invests AED 5,000 for the same period. If the total profit is AED 10,000, find A's share.

   Formula:Partnership (profit share)

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

   View formula →
4. 4.

   Physics

   Calculate the potential energy of a 22 kg object at a height of 24 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

   View formula →
5. 5.

   Quantitative Aptitude

   Find the HCF and LCM of 29 and 19.

   Formula:LCM & HCF

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

   View formula →
6. 6.

   Quantitative Aptitude

   A can finish a job in 19 days and B in 16 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

   View formula →
7. 7.

   Quantitative Aptitude

   A invests AED 5,000 and B invests AED 6,000 for the same period. If the total profit is AED 31,000, find A's share.

   Formula:Partnership (profit share)

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

   View formula →
8. 8.

   Physics

   Find the momentum of a 28 kg body moving at 28 m/s.

   Formula:Linear Momentum

   $p = mv$

   View formula →
9. 9.

   Physics

   Find the electrical power when 215 V drives a current of 16 A.

   Formula:Electrical Power

   $P = VI$

   View formula →
10. 10.

    Physics

    Find the momentum of a 33 kg body moving at 25 m/s.

    Formula:Linear Momentum

    $p = mv$

    View formula →
11. 11.

    Quantitative Aptitude

    A can finish a job in 5 days and B in 7 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

    View formula →
12. 12.

    Quantitative Aptitude

    A invests AED 6,000 and B invests AED 9,000 for the same period. If the total profit is AED 32,000, find A's share.

    Formula:Partnership (profit share)

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

    View formula →
13. 13.

    Quantitative Aptitude

    Pipe A fills a tank in 13 hours and pipe B in 6 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

    View formula →
14. 14.

    Quantitative Aptitude

    Two varieties costing AED 27 and AED 89 per kg are mixed to give a mixture worth AED 63 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)

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

    View formula →
15. 15.

    Physics

    A force of 910 N acts on an area of 6 m². Find the pressure.

    Formula:Pressure

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

    View formula →
16. 16.

    Physics

    Find the kinetic energy of a 11 kg object moving at 4 m/s.

    Formula:Kinetic Energy

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

    View formula →
17. 17.

    Quantitative Aptitude

    Pipe A fills a tank in 12 hours and pipe B in 13 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

    View formula →
18. 18.

    Quantitative Aptitude

    The sum of the ages of two people is 89 years, and one is 19 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

    View formula →
19. 19.

    Physics

    Find the kinetic energy of a 5 kg object moving at 11 m/s.

    Formula:Kinetic Energy

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

    View formula →
20. 20.

    Quantitative Aptitude

    Find the simple interest on AED 5,000 at 5% per annum for 2 year(s).

    Formula:Simple Interest

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

    View formula →

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