# FREE ICET Analytical Ability Questions and Answers

#### The perimeter of a rectangle is 30 units. If its length is 8 units, what is its width?

Explanation:

Use the formula for the perimeter of a rectangle:

2 × length + 2 × width = 30.

#### If 2a + 3b = 15 and a − b = 3, what is the value of a?

Explanation:

Solve the given system of equations to find the value of a.

#### A car travels 240 km in 4 hours. What is its average speed?

Explanation:

Average Speed = Total Distance / Total Time.

#### A train travels 600 km in 5 hours. What is its average speed?

Explanation:

Average Speed = Total Distance / Total Time.

#### If the area of a square is 64 square units, what is the length of its diagonal?

Explanation:

Use the Pythagorean theorem to find the length of the diagonal of a square.

#### If x − 3 = 7, what is the value of 2x?

Explanation:

Solve the equation x − 3 = 7 to find the value of x.

#### In a class of 30 students, 18 study Mathematics, 15 study Physics, and 12 study both subjects. How many students study only Mathematics?

Explanation:

Use the formula Total = Mathematics + Physics − Both to find the number of students who study only Mathematics:

30 = 18 + 15 − 12

#### If the product of two consecutive even integers is 288, what is the smaller integer?

Explanation:

Let the smaller even integer be x. Then the next consecutive even integer is x + 2. Use the equation x (x+2) = 288 to find x.

#### If 3x + 4 = 16, what is the value of x?

Explanation:

Solve the equation 3x + 4 = 16 to find the value of x.

#### If 2x − 5 = 7, what is the value of x?

Explanation:

Solve the equation 2x − 5 = 7 to find the value of x.

#### A box contains 6 red balls, 4 blue balls, and 5 green balls. If a ball is randomly selected from the box, what is the probability of selecting a blue ball?

Explanation:

Probability = (Number of favorable outcomes) / (Total number of outcomes).