Police & Armed Forces · Practice Sheet 21

1. 1.

   Quantitative Aptitude

   A invests AED 4,000 and B invests AED 5,000 for the same period. If the total profit is AED 32,000, find A's share.

   Formula:Partnership (profit share)

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

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2. 2.

   Quantitative Aptitude

   Divide AED 224 between two people in the ratio 2:2. How much does each receive?

   Formula:Sharing in a Ratio

   $\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$

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3. 3.

   Physics

   If 4,634 J of work is done in 42 s, find the power.

   Formula:Power

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

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4. 4.

   Physics

   A constant force of 165 N moves an object 22 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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5. 5.

   Physics

   Find the momentum of a 2 kg body moving at 14 m/s.

   Formula:Linear Momentum

   $p = mv$

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6. 6.

   Physics

   Find the electrical power when 14 V drives a current of 4 A.

   Formula:Electrical Power

   $P = VI$

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7. 7.

   Physics

   Find the force required to accelerate a 30 kg mass at 19 m/s².

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

   $F = ma$

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8. 8.

   Physics

   A constant force of 99 N moves an object 28 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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9. 9.

   Quantitative Aptitude

   What is 75% of 920?

   Formula:Percentage of a Number

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

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10. 10.

    Physics

    Calculate the potential energy of a 23 kg object at a height of 10 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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11. 11.

    Quantitative Aptitude

    Find the average of these 10 numbers: 38, 65, 90, 46, 88, 83, 69, 89, 63, 31.

    Formula:Arithmetic Mean

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

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12. 12.

    Physics

    Find the electrical power when 206 V drives a current of 20 A.

    Formula:Electrical Power

    $P = VI$

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13. 13.

    Physics

    Calculate the potential energy of a 34 kg object at a height of 49 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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14. 14.

    Physics

    Find the density of an object with mass 439 g and volume 48 cm³.

    Formula:Density

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

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15. 15.

    Physics

    Find the electrical power when 178 V drives a current of 9 A.

    Formula:Electrical Power

    $P = VI$

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16. 16.

    Quantitative Aptitude

    A vehicle covers 558 km in 9 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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17. 17.

    Quantitative Aptitude

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

    Formula:Partnership (profit share)

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

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18. 18.

    Quantitative Aptitude

    Find the simple interest on AED 17,000 at 12% per annum for 6 year(s).

    Formula:Simple Interest

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

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19. 19.

    Quantitative Aptitude

    Find the compound interest on AED 1,000 at 10% per annum compounded annually for 2 years.

    Formula:Compound Interest

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

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20. 20.

    Physics

    Find the electrical power when 103 V drives a current of 10 A.

    Formula:Electrical Power

    $P = VI$

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