Police & Armed Forces · Practice Sheet 32

1. 1.

   Quantitative Aptitude

   An item is bought for AED 400 and sold for AED 480. Find the profit percentage.

   Formula:Profit Percentage

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

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2. 2.

   Quantitative Aptitude

   Find the simple interest on AED 42,000 at 4% per annum for 4 year(s).

   Formula:Simple Interest

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

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3. 3.

   Quantitative Aptitude

   A invests AED 9,000 and B invests AED 5,000 for the same period. If the total profit is AED 38,000, find A's share.

   Formula:Partnership (profit share)

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

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4. 4.

   Physics

   Find the density of an object with mass 219 g and volume 27 cm³.

   Formula:Density

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

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5. 5.

   Quantitative Aptitude

   The marked price of an item is AED 1,100. After a 25% discount, find the selling price.

   Formula:Discount & Selling Price

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

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6. 6.

   Physics

   A constant force of 138 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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7. 7.

   Physics

   Find the force required to accelerate a 29 kg mass at 17 m/s².

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

   $F = ma$

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8. 8.

   Quantitative Aptitude

   In how many ways can 3 objects be chosen from 9 distinct objects? (Find ⁿᴄᵣ for n = 9, r = 3.)

   Formula:Combinations

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

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9. 9.

   Physics

   A force of 374 N acts on an area of 6 m². Find the pressure.

   Formula:Pressure

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

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10. 10.

    Quantitative Aptitude

    The sum of the ages of two people is 46 years, and one is 8 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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11. 11.

    Quantitative Aptitude

    Find the HCF and LCM of 40 and 38.

    Formula:LCM & HCF

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

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12. 12.

    Quantitative Aptitude

    A can finish a job in 20 days and B in 8 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

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13. 13.

    Physics

    Find the electrical power when 66 V drives a current of 13 A.

    Formula:Electrical Power

    $P = VI$

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14. 14.

    Physics

    A body moving at 6 m/s accelerates at 2 m/s² for 5 s. Find the distance travelled.

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

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

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15. 15.

    Physics

    A projectile is launched at 15 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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16. 16.

    Quantitative Aptitude

    What is 20% of 720?

    Formula:Percentage of a Number

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

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17. 17.

    Physics

    Find the voltage across a 29 Ω resistor carrying a current of 3 A.

    Formula:Ohm's Law

    $V = IR$

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18. 18.

    Quantitative Aptitude

    Find the HCF and LCM of 26 and 15.

    Formula:LCM & HCF

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

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19. 19.

    Quantitative Aptitude

    A vehicle covers 336 km in 4 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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20. 20.

    Physics

    A force of 372 N acts on an area of 12 m². Find the pressure.

    Formula:Pressure

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

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