Police & Armed Forces · Practice Sheet 11

1. 1.

   Quantitative Aptitude

   A invests AED 2,000 and B invests AED 8,000 for the same period. If the total profit is AED 25,000, find A's share.

   Formula:Partnership (profit share)

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

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2. 2.

   Physics

   Find the voltage across a 41 Ω resistor carrying a current of 17 A.

   Formula:Ohm's Law

   $V = IR$

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3. 3.

   Quantitative Aptitude

   The sum of the ages of two people is 86 years, and one is 16 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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4. 4.

   Physics

   A constant force of 140 N moves an object 32 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

   A value changes from 200 to 120. Find the percentage decrease.

   Formula:Percentage Change

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

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6. 6.

   Quantitative Aptitude

   Find the compound interest on AED 17,000 at 20% per annum compounded annually for 3 years.

   Formula:Compound Interest

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

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7. 7.

   Quantitative Aptitude

   Find the simple interest on AED 25,000 at 6% per annum for 5 year(s).

   Formula:Simple Interest

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

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8. 8.

   Physics

   An object starts at 6 m/s and accelerates at 7 m/s² for 8 s. Find its final velocity.

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

   $v = u + at$

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9. 9.

   Physics

   Find the voltage across a 19 Ω resistor carrying a current of 2 A.

   Formula:Ohm's Law

   $V = IR$

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10. 10.

    Physics

    A constant force of 43 N moves an object 46 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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11. 11.

    Physics

    A body moving at 9 m/s accelerates at 8 m/s² for 4 s. Find the distance travelled.

    Formula:Equation of Motion (s = ut + ½at²)

    $s = ut + \tfrac{1}{2}at^{2}$

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12. 12.

    Quantitative Aptitude

    In how many ways can 4 objects be arranged out of 6 distinct objects? (Find ⁿᴘᵣ for n = 6, r = 4.)

    Formula:Permutations

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

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13. 13.

    Quantitative Aptitude

    In how many ways can 3 objects be chosen from 10 distinct objects? (Find ⁿᴄᵣ for n = 10, r = 3.)

    Formula:Combinations

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

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14. 14.

    Physics

    A constant force of 107 N moves an object 33 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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15. 15.

    Physics

    An object starts at 11 m/s and accelerates at 3 m/s² for 8 s. Find its final velocity.

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

    $v = u + at$

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16. 16.

    Quantitative Aptitude

    The sum of the ages of two people is 55 years, and one is 15 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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17. 17.

    Quantitative Aptitude

    A vehicle covers 201 km in 3 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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18. 18.

    Physics

    Find the voltage across a 21 Ω resistor carrying a current of 17 A.

    Formula:Ohm's Law

    $V = IR$

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19. 19.

    Quantitative Aptitude

    What is 25% of 980?

    Formula:Percentage of a Number

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

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20. 20.

    Physics

    A constant force of 156 N moves an object 40 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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