Police & Armed Forces · Practice Sheet 7

1. 1.

   Quantitative Aptitude

   Find the average of these 5 numbers: 52, 21, 33, 66, 25.

   Formula:Arithmetic Mean

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

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2. 2.

   Quantitative Aptitude

   An item is bought for AED 400 and sold for AED 520. Find the profit percentage.

   Formula:Profit Percentage

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

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3. 3.

   Quantitative Aptitude

   What is 60% of 960?

   Formula:Percentage of a Number

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

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4. 4.

   Quantitative Aptitude

   A can finish a job in 14 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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5. 5.

   Physics

   Find the voltage across a 43 Ω resistor carrying a current of 5 A.

   Formula:Ohm's Law

   $V = IR$

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6. 6.

   Physics

   If 131 J of work is done in 29 s, find the power.

   Formula:Power

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

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7. 7.

   Quantitative Aptitude

   What is 60% of 240?

   Formula:Percentage of a Number

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

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8. 8.

   Quantitative Aptitude

   A value changes from 500 to 425. Find the percentage decrease.

   Formula:Percentage Change

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

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9. 9.

   Quantitative Aptitude

   Find the average of these 6 numbers: 22, 40, 87, 90, 76, 66.

   Formula:Arithmetic Mean

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

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10. 10.

    Quantitative Aptitude

    An item is bought for AED 200 and sold for AED 220. Find the profit percentage.

    Formula:Profit Percentage

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

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11. 11.

    Quantitative Aptitude

    In how many ways can 4 objects be chosen from 9 distinct objects? (Find ⁿᴄᵣ for n = 9, r = 4.)

    Formula:Combinations

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

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12. 12.

    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 7?

    Formula:Probability (two dice)

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

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13. 13.

    Physics

    If 1,037 J of work is done in 5 s, find the power.

    Formula:Power

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

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14. 14.

    Physics

    Find the voltage across a 27 Ω resistor carrying a current of 3 A.

    Formula:Ohm's Law

    $V = IR$

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15. 15.

    Quantitative Aptitude

    Find the simple interest on AED 6,000 at 8% per annum for 6 year(s).

    Formula:Simple Interest

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

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16. 16.

    Quantitative Aptitude

    An item is bought for AED 800 and sold for AED 1,200. Find the profit percentage.

    Formula:Profit Percentage

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

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17. 17.

    Physics

    A constant force of 77 N moves an object 9 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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18. 18.

    Physics

    An object starts at 20 m/s and accelerates at 6 m/s² for 9 s. Find its final velocity.

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

    $v = u + at$

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19. 19.

    Physics

    Find the momentum of a 6 kg body moving at 5 m/s.

    Formula:Linear Momentum

    $p = mv$

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20. 20.

    Quantitative Aptitude

    Find the average of these 6 numbers: 75, 63, 52, 43, 52, 71.

    Formula:Arithmetic Mean

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

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