Analytical Ability Flashcards

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

Answer: 9

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?

Answer: 12

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.

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?

Answer: 1/4

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

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

Answer: 14

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

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

Answer: 100 km/h

Explanation: Average Speed = Total Distance / Total Time.

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

Answer: 5

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

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

Answer: 8 units

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

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

Answer: 6

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?

Answer: 60 km/h

Explanation: Average Speed = Total Distance / Total Time.

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

Answer: 9

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

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

Answer: 5 units

Explanation: Use the formula for the perimeter of a rectangle: 2 × length + 2 × width = 30.