Police & Armed Forces · Practice Sheet 49

1. 1.

   Physics

   If 2,313 J of work is done in 40 s, find the power.

   Formula:Power

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

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2. 2.

   Physics

   A force of 269 N acts on an area of 16 m². Find the pressure.

   Formula:Pressure

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

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3. 3.

   Quantitative Aptitude

   Find the simple interest on AED 6,000 at 4% per annum for 6 year(s).

   Formula:Simple Interest

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

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4. 4.

   Physics

   Find the force required to accelerate a 24 kg mass at 14 m/s².

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

   $F = ma$

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5. 5.

   Quantitative Aptitude

   Two fair dice are rolled. What is the probability that the sum of the numbers is 8?

   Formula:Probability (two dice)

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

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6. 6.

   Quantitative Aptitude

   Find the simple interest on AED 2,000 at 8% per annum for 2 year(s).

   Formula:Simple Interest

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

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7. 7.

   Physics

   If 2,037 J of work is done in 36 s, find the power.

   Formula:Power

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

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8. 8.

   Quantitative Aptitude

   An item is bought for AED 300 and sold for AED 345. Find the profit percentage.

   Formula:Profit Percentage

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

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9. 9.

   Quantitative Aptitude

   Find the compound interest on AED 8,000 at 20% per annum compounded annually for 3 years.

   Formula:Compound Interest

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

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10. 10.

    Physics

    Find the kinetic energy of a 2 kg object moving at 19 m/s.

    Formula:Kinetic Energy

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

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11. 11.

    Quantitative Aptitude

    In how many ways can 3 objects be arranged out of 8 distinct objects? (Find ⁿᴘᵣ for n = 8, r = 3.)

    Formula:Permutations

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

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12. 12.

    Quantitative Aptitude

    Find the simple interest on AED 19,000 at 5% per annum for 4 year(s).

    Formula:Simple Interest

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

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13. 13.

    Quantitative Aptitude

    In how many ways can 4 objects be chosen from 6 distinct objects? (Find ⁿᴄᵣ for n = 6, r = 4.)

    Formula:Combinations

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

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14. 14.

    Quantitative Aptitude

    A can finish a job in 9 days and B in 11 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

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15. 15.

    Physics

    A constant force of 17 N moves an object 47 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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16. 16.

    Physics

    Find the density of an object with mass 196 g and volume 50 cm³.

    Formula:Density

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

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17. 17.

    Physics

    A force of 683 N acts on an area of 10 m². Find the pressure.

    Formula:Pressure

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

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18. 18.

    Physics

    Find the force required to accelerate a 47 kg mass at 4 m/s².

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

    $F = ma$

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19. 19.

    Physics

    Find the kinetic energy of a 18 kg object moving at 21 m/s.

    Formula:Kinetic Energy

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

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20. 20.

    Quantitative Aptitude

    Pipe A fills a tank in 10 hours and pipe B in 6 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

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