Police & Armed Forces · Practice Sheet 43

1. 1.

   Physics

   Find the force required to accelerate a 37 kg mass at 4 m/s².

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

   $F = ma$

   View formula →
2. 2.

   Quantitative Aptitude

   Divide AED 2,286 between two people in the ratio 6:3. How much does each receive?

   Formula:Sharing in a Ratio

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

   View formula →
3. 3.

   Physics

   Find the electrical power when 223 V drives a current of 2 A.

   Formula:Electrical Power

   $P = VI$

   View formula →
4. 4.

   Quantitative Aptitude

   Divide AED 625 between two people in the ratio 2:3. How much does each receive?

   Formula:Sharing in a Ratio

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

   View formula →
5. 5.

   Quantitative Aptitude

   A can finish a job in 20 days and B in 10 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

   View formula →
6. 6.

   Quantitative Aptitude

   Find the average of these 5 numbers: 89, 70, 22, 71, 33.

   Formula:Arithmetic Mean

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

   View formula →
7. 7.

   Physics

   Find the electrical power when 75 V drives a current of 1 A.

   Formula:Electrical Power

   $P = VI$

   View formula →
8. 8.

   Physics

   Find the density of an object with mass 23 g and volume 33 cm³.

   Formula:Density

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

   View formula →
9. 9.

   Quantitative Aptitude

   Find the average of these 10 numbers: 58, 59, 30, 62, 53, 30, 44, 46, 55, 25.

   Formula:Arithmetic Mean

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

   View formula →
10. 10.

    Quantitative Aptitude

    Divide AED 1,881 between two people in the ratio 7:4. How much does each receive?

    Formula:Sharing in a Ratio

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

    View formula →
11. 11.

    Quantitative Aptitude

    The sum of the ages of two people is 62 years, and one is 16 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

    View formula →
12. 12.

    Physics

    Find the voltage across a 37 Ω resistor carrying a current of 19 A.

    Formula:Ohm's Law

    $V = IR$

    View formula →
13. 13.

    Quantitative Aptitude

    What is 40% of 680?

    Formula:Percentage of a Number

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

    View formula →
14. 14.

    Quantitative Aptitude

    A value changes from 500 to 350. Find the percentage decrease.

    Formula:Percentage Change

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

    View formula →
15. 15.

    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 6?

    Formula:Probability (two dice)

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

    View formula →
16. 16.

    Quantitative Aptitude

    In how many ways can 2 objects be arranged out of 8 distinct objects? (Find ⁿᴘᵣ for n = 8, r = 2.)

    Formula:Permutations

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

    View formula →
17. 17.

    Physics

    Find the kinetic energy of a 18 kg object moving at 30 m/s.

    Formula:Kinetic Energy

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

    View formula →
18. 18.

    Physics

    Find the force required to accelerate a 13 kg mass at 20 m/s².

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

    $F = ma$

    View formula →
19. 19.

    Physics

    A projectile is launched at 16 m/s at 30° to the horizontal. Find its range (g = 9.8 m/s²).

    Formula:Projectile Range

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

    View formula →
20. 20.

    Physics

    Find the electrical power when 46 V drives a current of 7 A.

    Formula:Electrical Power

    $P = VI$

    View formula →

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