Police & Armed Forces · Practice Sheet 36

1. 1.

   Quantitative Aptitude

   In how many ways can 2 objects be arranged out of 9 distinct objects? (Find ⁿᴘᵣ for n = 9, r = 2.)

   Formula:Permutations

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

   View formula →
2. 2.

   Quantitative Aptitude

   An item is bought for AED 800 and sold for AED 880. Find the profit percentage.

   Formula:Profit Percentage

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

   View formula →
3. 3.

   Physics

   A constant force of 186 N moves an object 23 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

   View formula →
4. 4.

   Physics

   An object starts at 3 m/s and accelerates at 8 m/s² for 4 s. Find its final velocity.

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

   $v = u + at$

   View formula →
5. 5.

   Quantitative Aptitude

   The marked price of an item is AED 1,800. After a 5% discount, find the selling price.

   Formula:Discount & Selling Price

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

   View formula →
6. 6.

   Quantitative Aptitude

   Find the compound interest on AED 7,000 at 10% per annum compounded annually for 3 years.

   Formula:Compound Interest

   $A = P\left(1+\dfrac{R}{100}\right)^{T}$

   View formula →
7. 7.

   Quantitative Aptitude

   Pipe A fills a tank in 6 hours and pipe B in 7 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

   View formula →
8. 8.

   Quantitative Aptitude

   Find the HCF and LCM of 31 and 15.

   Formula:LCM & HCF

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

   View formula →
9. 9.

   Quantitative Aptitude

   Two varieties costing AED 15 and AED 100 per kg are mixed to give a mixture worth AED 36 per kg. Find the mixing ratio.

   Formula:Alligation (Mixtures)

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

   View formula →
10. 10.

    Quantitative Aptitude

    The sum of the ages of two people is 80 years, and one is 18 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

    View formula →
11. 11.

    Physics

    An object starts at 2 m/s and accelerates at 8 m/s² for 4 s. Find its final velocity.

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

    $v = u + at$

    View formula →
12. 12.

    Quantitative Aptitude

    Find the simple interest on AED 27,000 at 8% per annum for 6 year(s).

    Formula:Simple Interest

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

    View formula →
13. 13.

    Quantitative Aptitude

    What is 25% of 380?

    Formula:Percentage of a Number

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

    View formula →
14. 14.

    Quantitative Aptitude

    Find the average of these 5 numbers: 58, 84, 34, 26, 88.

    Formula:Arithmetic Mean

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

    View formula →
15. 15.

    Quantitative Aptitude

    Find the compound interest on AED 8,000 at 10% per annum compounded annually for 3 years.

    Formula:Compound Interest

    $A = P\left(1+\dfrac{R}{100}\right)^{T}$

    View formula →
16. 16.

    Physics

    Find the density of an object with mass 130 g and volume 9 cm³.

    Formula:Density

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

    View formula →
17. 17.

    Physics

    Find the momentum of a 1 kg body moving at 5 m/s.

    Formula:Linear Momentum

    $p = mv$

    View formula →
18. 18.

    Physics

    A constant force of 163 N moves an object 39 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

    View formula →
19. 19.

    Quantitative Aptitude

    A value changes from 500 to 650. Find the percentage increase.

    Formula:Percentage Change

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

    View formula →
20. 20.

    Physics

    Find the kinetic energy of a 7 kg object moving at 11 m/s.

    Formula:Kinetic Energy

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

    View formula →

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