Police & Armed Forces · Practice Sheet 37

1. 1.

   Physics

   A body moving at 3 m/s accelerates at 2 m/s² for 4 s. Find the distance travelled.

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

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

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2. 2.

   Quantitative Aptitude

   What is 30% of 680?

   Formula:Percentage of a Number

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

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3. 3.

   Quantitative Aptitude

   A can finish a job in 9 days and B in 6 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

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4. 4.

   Quantitative Aptitude

   The marked price of an item is AED 1,000. After a 20% discount, find the selling price.

   Formula:Discount & Selling Price

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

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5. 5.

   Physics

   Find the density of an object with mass 13 g and volume 18 cm³.

   Formula:Density

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

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6. 6.

   Quantitative Aptitude

   In how many ways can 3 objects be chosen from 9 distinct objects? (Find ⁿᴄᵣ for n = 9, r = 3.)

   Formula:Combinations

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

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7. 7.

   Quantitative Aptitude

   A vehicle covers 532 km in 7 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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8. 8.

   Physics

   Find the voltage across a 49 Ω resistor carrying a current of 19 A.

   Formula:Ohm's Law

   $V = IR$

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9. 9.

   Physics

   Find the momentum of a 33 kg body moving at 10 m/s.

   Formula:Linear Momentum

   $p = mv$

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10. 10.

    Quantitative Aptitude

    Find the average of these 6 numbers: 86, 90, 81, 60, 29, 78.

    Formula:Arithmetic Mean

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

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11. 11.

    Physics

    Find the voltage across a 8 Ω resistor carrying a current of 20 A.

    Formula:Ohm's Law

    $V = IR$

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12. 12.

    Quantitative Aptitude

    A value changes from 800 to 560. Find the percentage decrease.

    Formula:Percentage Change

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

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13. 13.

    Quantitative Aptitude

    What is 30% of 140?

    Formula:Percentage of a Number

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

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14. 14.

    Quantitative Aptitude

    Find the average of these 6 numbers: 54, 77, 30, 26, 26, 21.

    Formula:Arithmetic Mean

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

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15. 15.

    Quantitative Aptitude

    Find the simple interest on AED 30,000 at 6% per annum for 6 year(s).

    Formula:Simple Interest

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

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16. 16.

    Quantitative Aptitude

    A value changes from 900 to 1,035. Find the percentage increase.

    Formula:Percentage Change

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

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17. 17.

    Physics

    An object starts at 18 m/s and accelerates at 7 m/s² for 6 s. Find its final velocity.

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

    $v = u + at$

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18. 18.

    Physics

    A force of 259 N acts on an area of 11 m². Find the pressure.

    Formula:Pressure

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

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19. 19.

    Physics

    A projectile is launched at 20 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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20. 20.

    Quantitative Aptitude

    The marked price of an item is AED 2,000. After a 40% discount, find the selling price.

    Formula:Discount & Selling Price

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

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