FormulaWon

Police & Armed Forces · Practice Sheet 2

Sheet code: UAE-POLICE-S02 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Pipe A fills a tank in 4 hours and pipe B in 13 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
View formula →
2.
Quantitative Aptitude
Find the HCF and LCM of 12 and 21.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
View formula →
3.
Physics
A projectile is launched at 12 m/s at 60° to the horizontal. Find its range (g = 9.8 m/s²).
Formula:Projectile Range
$R = \dfrac{u^{2}\sin 2\theta}{g}$
View formula →
4.
Physics
Find the kinetic energy of a 16 kg object moving at 29 m/s.
Formula:Kinetic Energy
$KE = \tfrac{1}{2}mv^{2}$
View formula →
5.
Quantitative Aptitude
The sum of the ages of two people is 54 years, and one is 12 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
View formula →
6.
Physics
Calculate the potential energy of a 36 kg object at a height of 9 m (g = 9.8 m/s²).
Formula:Gravitational Potential Energy
$PE = mgh$
View formula →
7.
Quantitative Aptitude
A invests AED 6,000 and B invests AED 3,000 for the same period. If the total profit is AED 7,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
8.
Quantitative Aptitude
A vehicle covers 368 km in 8 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →
9.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 7?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
View formula →
10.
Quantitative Aptitude
The sum of the ages of two people is 42 years, and one is 6 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
View formula →
11.
Quantitative Aptitude
Find the simple interest on AED 18,000 at 8% per annum for 1 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
View formula →
12.
Quantitative Aptitude
What is 25% of 1,180?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
View formula →
13.
Quantitative Aptitude
The sum of the ages of two people is 72 years, and one is 16 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
View formula →
14.
Quantitative Aptitude
Find the average of these 10 numbers: 40, 50, 53, 54, 80, 88, 75, 65, 35, 63.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
View formula →
15.
Quantitative Aptitude
A invests AED 2,000 and B invests AED 8,000 for the same period. If the total profit is AED 36,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
16.
Physics
A constant force of 46 N moves an object 46 m in the direction of the force. Calculate the work done.
Formula:Work Done
$W = F\,d$
View formula →
17.
Quantitative Aptitude
A invests AED 2,000 and B invests AED 7,000 for the same period. If the total profit is AED 11,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
18.
Quantitative Aptitude
A can finish a job in 15 days and B in 6 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
View formula →
19.
Quantitative Aptitude
In how many ways can 2 objects be arranged out of 9 distinct objects? (Find ⁿᴘᵣ for n = 9, r = 2.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
View formula →
20.
Quantitative Aptitude
A vehicle covers 603 km in 9 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →

Go to full solutions for this sheet