Police & Armed Forces · Practice Sheet 22

1. 1.

   Quantitative Aptitude

   A value changes from 500 to 550. Find the percentage increase.

   Formula:Percentage Change

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

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2. 2.

   Quantitative Aptitude

   A invests AED 10,000 and B invests AED 2,000 for the same period. If the total profit is AED 35,000, find A's share.

   Formula:Partnership (profit share)

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

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3. 3.

   Physics

   A constant force of 102 N moves an object 12 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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4. 4.

   Quantitative Aptitude

   What is 40% of 520?

   Formula:Percentage of a Number

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

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5. 5.

   Quantitative Aptitude

   An item is bought for AED 600 and sold for AED 900. Find the profit percentage.

   Formula:Profit Percentage

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

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6. 6.

   Physics

   Find the electrical power when 51 V drives a current of 15 A.

   Formula:Electrical Power

   $P = VI$

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7. 7.

   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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8. 8.

   Quantitative Aptitude

   In how many ways can 4 objects be chosen from 8 distinct objects? (Find ⁿᴄᵣ for n = 8, r = 4.)

   Formula:Combinations

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

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9. 9.

   Physics

   Find the kinetic energy of a 19 kg object moving at 14 m/s.

   Formula:Kinetic Energy

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

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10. 10.

    Physics

    Calculate the potential energy of a 33 kg object at a height of 2 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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11. 11.

    Quantitative Aptitude

    An item is bought for AED 700 and sold for AED 770. Find the profit percentage.

    Formula:Profit Percentage

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

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12. 12.

    Quantitative Aptitude

    A value changes from 900 to 630. 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 15% of 960?

    Formula:Percentage of a Number

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

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14. 14.

    Quantitative Aptitude

    Find the HCF and LCM of 17 and 37.

    Formula:LCM & HCF

    $\text{LCM}\times\text{HCF} = a\times b$

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15. 15.

    Quantitative Aptitude

    Find the compound interest on AED 2,000 at 10% per annum compounded annually for 3 years.

    Formula:Compound Interest

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

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16. 16.

    Physics

    An object starts at 15 m/s and accelerates at 8 m/s² for 8 s. Find its final velocity.

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

    $v = u + at$

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17. 17.

    Physics

    A constant force of 120 N moves an object 7 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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18. 18.

    Physics

    Calculate the potential energy of a 21 kg object at a height of 16 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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19. 19.

    Quantitative Aptitude

    Find the simple interest on AED 42,000 at 8% per annum for 1 year(s).

    Formula:Simple Interest

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

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20. 20.

    Physics

    Find the momentum of a 41 kg body moving at 28 m/s.

    Formula:Linear Momentum

    $p = mv$

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