Police & Armed Forces · Practice Sheet 23

1. 1.

   Physics

   Calculate the potential energy of a 44 kg object at a height of 49 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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2. 2.

   Quantitative Aptitude

   The marked price of an item is AED 1,700. After a 30% discount, find the selling price.

   Formula:Discount & Selling Price

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

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3. 3.

   Quantitative Aptitude

   Find the HCF and LCM of 27 and 17.

   Formula:LCM & HCF

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

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4. 4.

   Physics

   A constant force of 143 N moves an object 14 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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5. 5.

   Quantitative Aptitude

   An item is bought for AED 300 and sold for AED 450. Find the profit percentage.

   Formula:Profit Percentage

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

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6. 6.

   Quantitative Aptitude

   Pipe A fills a tank in 7 hours and pipe B in 13 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

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7. 7.

   Physics

   Find the kinetic energy of a 12 kg object moving at 9 m/s.

   Formula:Kinetic Energy

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

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8. 8.

   Quantitative Aptitude

   A can finish a job in 5 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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9. 9.

   Physics

   A projectile is launched at 37 m/s at 60° 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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10. 10.

    Physics

    Find the force required to accelerate a 42 kg mass at 9 m/s².

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

    $F = ma$

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11. 11.

    Quantitative Aptitude

    Find the HCF and LCM of 18 and 8.

    Formula:LCM & HCF

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

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12. 12.

    Quantitative Aptitude

    What is 75% of 540?

    Formula:Percentage of a Number

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

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13. 13.

    Quantitative Aptitude

    A value changes from 300 to 360. Find the percentage increase.

    Formula:Percentage Change

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

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14. 14.

    Quantitative Aptitude

    Find the simple interest on AED 15,000 at 10% per annum for 5 year(s).

    Formula:Simple Interest

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

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15. 15.

    Quantitative Aptitude

    Find the compound interest on AED 11,000 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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16. 16.

    Quantitative Aptitude

    Divide AED 715 between two people in the ratio 7:6. 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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17. 17.

    Physics

    Find the momentum of a 16 kg body moving at 10 m/s.

    Formula:Linear Momentum

    $p = mv$

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18. 18.

    Quantitative Aptitude

    The sum of the ages of two people is 55 years, and one is 5 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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19. 19.

    Quantitative Aptitude

    Find the average of these 10 numbers: 61, 76, 46, 67, 45, 42, 27, 58, 40, 56.

    Formula:Arithmetic Mean

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

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20. 20.

    Quantitative Aptitude

    The marked price of an item is AED 1,600. After a 10% discount, find the selling price.

    Formula:Discount & Selling Price

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

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