Police & Armed Forces · Practice Sheet 33

1. 1.

   Quantitative Aptitude

   Find the compound interest on AED 12,000 at 10% per annum compounded annually for 3 years.

   Formula:Compound Interest

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

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2. 2.

   Quantitative Aptitude

   Two fair dice are rolled. What is the probability that the sum of the numbers is 9?

   Formula:Probability (two dice)

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

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3. 3.

   Quantitative Aptitude

   Pipe A fills a tank in 12 hours and pipe B in 7 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

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4. 4.

   Quantitative Aptitude

   The marked price of an item is AED 1,900. After a 5% discount, find the selling price.

   Formula:Discount & Selling Price

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

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5. 5.

   Physics

   A projectile is launched at 32 m/s at 45° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

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

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6. 6.

   Quantitative Aptitude

   An item is bought for AED 700 and sold for AED 875. Find the profit percentage.

   Formula:Profit Percentage

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

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7. 7.

   Physics

   Find the electrical power when 89 V drives a current of 9 A.

   Formula:Electrical Power

   $P = VI$

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8. 8.

   Physics

   Find the momentum of a 29 kg body moving at 33 m/s.

   Formula:Linear Momentum

   $p = mv$

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9. 9.

   Quantitative Aptitude

   Pipe A fills a tank in 4 hours and pipe B in 8 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

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10. 10.

    Physics

    A projectile is launched at 41 m/s at 30° to the horizontal. Find its range (g = 9.8 m/s²).

    Formula:Projectile Range

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

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11. 11.

    Physics

    Find the density of an object with mass 249 g and volume 14 cm³.

    Formula:Density

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

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12. 12.

    Physics

    A body moving at 2 m/s accelerates at 1 m/s² for 10 s. Find the distance travelled.

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

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

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13. 13.

    Quantitative Aptitude

    A vehicle covers 255 km in 5 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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14. 14.

    Quantitative Aptitude

    What is 60% of 1,000?

    Formula:Percentage of a Number

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

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15. 15.

    Physics

    Find the electrical power when 63 V drives a current of 2 A.

    Formula:Electrical Power

    $P = VI$

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16. 16.

    Quantitative Aptitude

    What is 30% of 980?

    Formula:Percentage of a Number

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

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17. 17.

    Physics

    A constant force of 167 N moves an object 33 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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18. 18.

    Quantitative Aptitude

    Find the simple interest on AED 44,000 at 10% per annum for 3 year(s).

    Formula:Simple Interest

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

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19. 19.

    Quantitative Aptitude

    The sum of the ages of two people is 27 years, and one is 7 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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20. 20.

    Quantitative Aptitude

    Two varieties costing AED 14 and AED 93 per kg are mixed to give a mixture worth AED 20 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)

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

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