Police & Armed Forces · Practice Sheet 5

1. 1.

   Quantitative Aptitude

   Find the simple interest on AED 32,000 at 12% per annum for 6 year(s).

   Formula:Simple Interest

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

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2. 2.

   Quantitative Aptitude

   Pipe A fills a tank in 14 hours and pipe B in 13 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

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3. 3.

   Quantitative Aptitude

   Divide AED 2,133 between two people in the ratio 5:4. How much does each receive?

   Formula:Sharing in a Ratio

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

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4. 4.

   Quantitative Aptitude

   The marked price of an item is AED 1,100. After a 25% 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 constant force of 128 N moves an object 4 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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6. 6.

   Physics

   A force of 694 N acts on an area of 31 m². Find the pressure.

   Formula:Pressure

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

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7. 7.

   Physics

   If 3,361 J of work is done in 37 s, find the power.

   Formula:Power

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

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8. 8.

   Quantitative Aptitude

   The marked price of an item is AED 1,200. After a 40% discount, find the selling price.

   Formula:Discount & Selling Price

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

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9. 9.

   Physics

   Find the voltage across a 38 Ω resistor carrying a current of 16 A.

   Formula:Ohm's Law

   $V = IR$

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10. 10.

    Physics

    A constant force of 114 N moves an object 29 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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11. 11.

    Quantitative Aptitude

    Pipe A fills a tank in 3 hours and pipe B in 9 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

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12. 12.

    Physics

    A constant force of 34 N moves an object 38 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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13. 13.

    Physics

    Find the momentum of a 9 kg body moving at 40 m/s.

    Formula:Linear Momentum

    $p = mv$

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14. 14.

    Physics

    Find the density of an object with mass 81 g and volume 37 cm³.

    Formula:Density

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

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15. 15.

    Quantitative Aptitude

    The sum of the ages of two people is 68 years, and one is 4 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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16. 16.

    Physics

    Calculate the potential energy of a 36 kg object at a height of 22 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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17. 17.

    Quantitative Aptitude

    Two varieties costing AED 19 and AED 91 per kg are mixed to give a mixture worth AED 41 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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18. 18.

    Physics

    A force of 79 N acts on an area of 14 m². Find the pressure.

    Formula:Pressure

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

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19. 19.

    Quantitative Aptitude

    Find the average of these 6 numbers: 22, 49, 80, 51, 58, 42.

    Formula:Arithmetic Mean

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

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20. 20.

    Physics

    An object starts at 1 m/s and accelerates at 5 m/s² for 3 s. Find its final velocity.

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

    $v = u + at$

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