Police & Armed Forces · Practice Sheet 25

1. 1.

   Quantitative Aptitude

   Two varieties costing AED 24 and AED 64 per kg are mixed to give a mixture worth AED 34 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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2. 2.

   Physics

   Find the electrical power when 81 V drives a current of 7 A.

   Formula:Electrical Power

   $P = VI$

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3. 3.

   Physics

   A force of 117 N acts on an area of 43 m². Find the pressure.

   Formula:Pressure

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

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4. 4.

   Quantitative Aptitude

   A can finish a job in 13 days and B in 10 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

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5. 5.

   Quantitative Aptitude

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

   Formula:Simple Interest

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

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6. 6.

   Physics

   If 2,668 J of work is done in 48 s, find the power.

   Formula:Power

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

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7. 7.

   Quantitative Aptitude

   In how many ways can 3 objects be chosen from 7 distinct objects? (Find ⁿᴄᵣ for n = 7, r = 3.)

   Formula:Combinations

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

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8. 8.

   Physics

   Find the kinetic energy of a 2 kg object moving at 18 m/s.

   Formula:Kinetic Energy

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

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9. 9.

   Physics

   A projectile is launched at 29 m/s at 45° 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 momentum of a 50 kg body moving at 17 m/s.

    Formula:Linear Momentum

    $p = mv$

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11. 11.

    Quantitative Aptitude

    A can finish a job in 16 days and B in 20 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

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12. 12.

    Quantitative Aptitude

    Find the simple interest on AED 12,000 at 4% per annum for 3 year(s).

    Formula:Simple Interest

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

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13. 13.

    Quantitative Aptitude

    A value changes from 700 to 805. Find the percentage increase.

    Formula:Percentage Change

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

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14. 14.

    Physics

    A force of 363 N acts on an area of 13 m². Find the pressure.

    Formula:Pressure

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

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15. 15.

    Quantitative Aptitude

    The sum of the ages of two people is 69 years, and one is 9 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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16. 16.

    Quantitative Aptitude

    Pipe A fills a tank in 11 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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17. 17.

    Physics

    An object starts at 11 m/s and accelerates at 7 m/s² for 7 s. Find its final velocity.

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

    $v = u + at$

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18. 18.

    Quantitative Aptitude

    The sum of the ages of two people is 77 years, and one is 17 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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19. 19.

    Quantitative Aptitude

    The marked price of an item is AED 1,700. After a 15% discount, find the selling price.

    Formula:Discount & Selling Price

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

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20. 20.

    Physics

    An object starts at 19 m/s and accelerates at 2 m/s² for 12 s. Find its final velocity.

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

    $v = u + at$

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