Police & Armed Forces · Practice Sheet 17

1. 1.

   Physics

   Find the density of an object with mass 341 g and volume 28 cm³.

   Formula:Density

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

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2. 2.

   Physics

   Find the electrical power when 222 V drives a current of 11 A.

   Formula:Electrical Power

   $P = VI$

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3. 3.

   Quantitative Aptitude

   A value changes from 300 to 345. Find the percentage increase.

   Formula:Percentage Change

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

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4. 4.

   Quantitative Aptitude

   Find the simple interest on AED 7,000 at 5% per annum for 1 year(s).

   Formula:Simple Interest

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

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5. 5.

   Quantitative Aptitude

   Pipe A fills a tank in 14 hours and pipe B in 15 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

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6. 6.

   Quantitative Aptitude

   The marked price of an item is AED 700. After a 30% discount, find the selling price.

   Formula:Discount & Selling Price

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

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7. 7.

   Quantitative Aptitude

   Find the average of these 10 numbers: 81, 50, 27, 22, 63, 54, 72, 21, 46, 60.

   Formula:Arithmetic Mean

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

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8. 8.

   Quantitative Aptitude

   A vehicle covers 224 km in 7 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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9. 9.

   Physics

   Find the density of an object with mass 192 g and volume 25 cm³.

   Formula:Density

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

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10. 10.

    Physics

    A body moving at 12 m/s accelerates at 8 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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11. 11.

    Quantitative Aptitude

    Pipe A fills a tank in 3 hours and pipe B in 4 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

    Find the density of an object with mass 129 g and volume 49 cm³.

    Formula:Density

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

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13. 13.

    Quantitative Aptitude

    A vehicle covers 252 km in 4 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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14. 14.

    Physics

    Find the electrical power when 88 V drives a current of 1 A.

    Formula:Electrical Power

    $P = VI$

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15. 15.

    Physics

    If 550 J of work is done in 27 s, find the power.

    Formula:Power

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

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16. 16.

    Quantitative Aptitude

    Find the average of these 8 numbers: 34, 58, 43, 22, 79, 28, 27, 62.

    Formula:Arithmetic Mean

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

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17. 17.

    Physics

    A body moving at 12 m/s accelerates at 5 m/s² for 3 s. Find the distance travelled.

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

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

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18. 18.

    Quantitative Aptitude

    An item is bought for AED 200 and sold for AED 220. Find the profit percentage.

    Formula:Profit Percentage

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

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19. 19.

    Physics

    Find the density of an object with mass 234 g and volume 14 cm³.

    Formula:Density

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

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20. 20.

    Physics

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

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

    $v = u + at$

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