Police & Armed Forces · Practice Sheet 46

1. 1.

   Quantitative Aptitude

   A can finish a job in 12 days and B in 17 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

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2. 2.

   Physics

   Calculate the potential energy of a 42 kg object at a height of 29 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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3. 3.

   Quantitative Aptitude

   Divide AED 1,924 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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4. 4.

   Physics

   Find the force required to accelerate a 33 kg mass at 4 m/s².

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

   $F = ma$

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5. 5.

   Quantitative Aptitude

   A can finish a job in 12 days and B in 17 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

   View formula →
6. 6.

   Quantitative Aptitude

   Two varieties costing AED 15 and AED 72 per kg are mixed to give a mixture worth AED 41 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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7. 7.

   Physics

   Find the kinetic energy of a 6 kg object moving at 26 m/s.

   Formula:Kinetic Energy

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

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8. 8.

   Quantitative Aptitude

   In how many ways can 2 objects be chosen from 8 distinct objects? (Find ⁿᴄᵣ for n = 8, r = 2.)

   Formula:Combinations

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

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9. 9.

   Quantitative Aptitude

   The marked price of an item is AED 200. After a 5% discount, find the selling price.

   Formula:Discount & Selling Price

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

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10. 10.

    Quantitative Aptitude

    In how many ways can 3 objects be chosen from 8 distinct objects? (Find ⁿᴄᵣ for n = 8, r = 3.)

    Formula:Combinations

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

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11. 11.

    Quantitative Aptitude

    Find the compound interest on AED 19,000 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

    Two fair dice are rolled. What is the probability that the sum of the numbers is 6?

    Formula:Probability (two dice)

    $P = \dfrac{\text{favourable}}{\text{total}}$

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13. 13.

    Quantitative Aptitude

    Find the HCF and LCM of 16 and 24.

    Formula:LCM & HCF

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

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14. 14.

    Physics

    A force of 550 N acts on an area of 45 m². Find the pressure.

    Formula:Pressure

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

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15. 15.

    Physics

    Find the electrical power when 61 V drives a current of 14 A.

    Formula:Electrical Power

    $P = VI$

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16. 16.

    Physics

    Calculate the potential energy of a 38 kg object at a height of 12 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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17. 17.

    Quantitative Aptitude

    The sum of the ages of two people is 82 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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18. 18.

    Quantitative Aptitude

    A can finish a job in 18 days and B in 9 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

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19. 19.

    Physics

    Find the momentum of a 11 kg body moving at 4 m/s.

    Formula:Linear Momentum

    $p = mv$

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20. 20.

    Physics

    Find the force required to accelerate a 48 kg mass at 6 m/s².

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

    $F = ma$

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