Police & Armed Forces · Practice Sheet 13

1. 1.

   Quantitative Aptitude

   A value changes from 600 to 630. Find the percentage increase.

   Formula:Percentage Change

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

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2. 2.

   Physics

   A force of 326 N acts on an area of 27 m². Find the pressure.

   Formula:Pressure

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

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3. 3.

   Quantitative Aptitude

   In how many ways can 3 objects be arranged out of 5 distinct objects? (Find ⁿᴘᵣ for n = 5, r = 3.)

   Formula:Permutations

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

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4. 4.

   Quantitative Aptitude

   A vehicle covers 255 km in 3 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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5. 5.

   Quantitative Aptitude

   Find the compound interest on AED 9,000 at 20% per annum compounded annually for 2 years.

   Formula:Compound Interest

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

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6. 6.

   Quantitative Aptitude

   The sum of the ages of two people is 47 years, and one is 11 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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7. 7.

   Quantitative Aptitude

   A invests AED 5,000 and B invests AED 6,000 for the same period. If the total profit is AED 10,000, find A's share.

   Formula:Partnership (profit share)

   $\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$

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8. 8.

   Physics

   Find the kinetic energy of a 3 kg object moving at 30 m/s.

   Formula:Kinetic Energy

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

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9. 9.

   Quantitative Aptitude

   Find the simple interest on AED 12,000 at 8% per annum for 5 year(s).

   Formula:Simple Interest

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

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10. 10.

    Physics

    Find the force required to accelerate a 22 kg mass at 5 m/s².

    Formula:Newton's Second Law (F = ma)

    $F = ma$

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11. 11.

    Physics

    Find the kinetic energy of a 16 kg object moving at 19 m/s.

    Formula:Kinetic Energy

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

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12. 12.

    Quantitative Aptitude

    The marked price of an item is AED 900. After a 30% discount, find the selling price.

    Formula:Discount & Selling Price

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

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13. 13.

    Physics

    A force of 797 N acts on an area of 28 m². Find the pressure.

    Formula:Pressure

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

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14. 14.

    Quantitative Aptitude

    Two varieties costing AED 32 and AED 68 per kg are mixed to give a mixture worth AED 52 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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15. 15.

    Physics

    A force of 318 N acts on an area of 14 m². Find the pressure.

    Formula:Pressure

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

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16. 16.

    Quantitative Aptitude

    Two varieties costing AED 40 and AED 81 per kg are mixed to give a mixture worth AED 56 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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17. 17.

    Physics

    An object starts at 14 m/s and accelerates at 4 m/s² for 5 s. Find its final velocity.

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

    $v = u + at$

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18. 18.

    Physics

    Find the momentum of a 7 kg body moving at 15 m/s.

    Formula:Linear Momentum

    $p = mv$

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19. 19.

    Physics

    A force of 489 N acts on an area of 2 m². Find the pressure.

    Formula:Pressure

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

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20. 20.

    Quantitative Aptitude

    A can finish a job in 6 days and B in 16 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

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