Police & Armed Forces · Practice Sheet 39

1. 1.

   Quantitative Aptitude

   Pipe A fills a tank in 4 hours and pipe B in 11 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

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2. 2.

   Quantitative Aptitude

   Two varieties costing AED 32 and AED 69 per kg are mixed to give a mixture worth AED 59 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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3. 3.

   Physics

   Find the force required to accelerate a 8 kg mass at 8 m/s².

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

   $F = ma$

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4. 4.

   Quantitative Aptitude

   Find the simple interest on AED 7,000 at 10% per annum for 1 year(s).

   Formula:Simple Interest

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

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5. 5.

   Physics

   Calculate the potential energy of a 43 kg object at a height of 26 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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6. 6.

   Physics

   If 463 J of work is done in 44 s, find the power.

   Formula:Power

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

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7. 7.

   Physics

   Find the density of an object with mass 172 g and volume 30 cm³.

   Formula:Density

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

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8. 8.

   Physics

   Find the momentum of a 17 kg body moving at 25 m/s.

   Formula:Linear Momentum

   $p = mv$

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9. 9.

   Quantitative Aptitude

   The sum of the ages of two people is 48 years, and one is 20 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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10. 10.

    Quantitative Aptitude

    A value changes from 500 to 700. Find the percentage increase.

    Formula:Percentage Change

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

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11. 11.

    Quantitative Aptitude

    Find the compound interest on AED 15,000 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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12. 12.

    Quantitative Aptitude

    What is 40% of 420?

    Formula:Percentage of a Number

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

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13. 13.

    Physics

    If 4,663 J of work is done in 31 s, find the power.

    Formula:Power

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

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14. 14.

    Quantitative Aptitude

    A can finish a job in 20 days and B in 5 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

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15. 15.

    Quantitative Aptitude

    Two varieties costing AED 39 and AED 99 per kg are mixed to give a mixture worth AED 93 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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16. 16.

    Physics

    Find the electrical power when 38 V drives a current of 19 A.

    Formula:Electrical Power

    $P = VI$

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17. 17.

    Physics

    Find the momentum of a 27 kg body moving at 13 m/s.

    Formula:Linear Momentum

    $p = mv$

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18. 18.

    Quantitative Aptitude

    Find the compound interest on AED 20,000 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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19. 19.

    Physics

    Find the force required to accelerate a 23 kg mass at 15 m/s².

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

    $F = ma$

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20. 20.

    Quantitative Aptitude

    A value changes from 600 to 450. Find the percentage decrease.

    Formula:Percentage Change

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

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