Free ICET Analytical Ability Questions and Answers — Questions and Answers
Question 1: In a class of 30 students, 18 study Mathematics, 15 study Physics, and 12 study both subjects. How many students study only Mathematics?
- 6
- 9 (Correct answer)
- 12
- 15
Correct answer: 9
Explanation: <br> Use the formula Total = Mathematics + Physics − Both to find the number of students who study only Mathematics: <br><br> 30 = 18 + 15 − 12
Question 2: If the product of two consecutive even integers is 288, what is the smaller integer?
- 12 (Correct answer)
- 14
- 16
- 18
Correct answer: 12
Explanation: <br> 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.
Question 3: 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?
- 1/3
- 2/5
- 1/4 (Correct answer)
- 3/15
Correct answer: 1/4
Explanation: <br> Probability = (Number of favorable outcomes) / (Total number of outcomes).
Question 4: If x − 3 = 7, what is the value of 2x?
- 10
- 14 (Correct answer)
- 16
- 20
Correct answer: 14
Explanation: <br> Solve the equation x − 3 = 7 to find the value of x.
Question 5: A train travels 600 km in 5 hours. What is its average speed?
- 100 km/h (Correct answer)
- 120 km/h
- 150 km/h
- 200 km/h
Correct answer: 100 km/h
Explanation: <br> Average Speed = Total Distance / Total Time.
Question 6: If 3x + 4 = 16, what is the value of x?
- 4
- 5 (Correct answer)
- 6
- 7
Correct answer: 5
Explanation: <br> Solve the equation 3x + 4 = 16 to find the value of x.
Question 7: If the area of a square is 64 square units, what is the length of its diagonal?
- 4 units
- 8 units (Correct answer)
- 16 units
- 32 units
Correct answer: 8 units
Explanation: <br> Use the Pythagorean theorem to find the length of the diagonal of a square.
Question 8: If 2a + 3b = 15 and a − b = 3, what is the value of a?
- 4
- 5
- 6 (Correct answer)
- 7
Correct answer: 6
Explanation: <br> Solve the given system of equations to find the value of a.
Question 9: A car travels 240 km in 4 hours. What is its average speed?
- 40 km/h
- 50 km/h
- 60 km/h (Correct answer)
- 70 km/h
Correct answer: 60 km/h
Explanation: <br> Average Speed = Total Distance / Total Time.
Question 10: If 2x − 5 = 7, what is the value of x?
- 4
- 6
- 7
- 9 (Correct answer)
Correct answer: 9
Explanation: <br> Solve the equation 2x − 5 = 7 to find the value of x.
Question 11: The perimeter of a rectangle is 30 units. If its length is 8 units, what is its width?
- 5 units (Correct answer)
- 6 units
- 7 units
- 8 units
Correct answer: 5 units
Explanation: <br> Use the formula for the perimeter of a rectangle: <br> 2 × length + 2 × width = 30.
Free ICET Analytical Ability Questions and Answers
In a class of 30 students, 18 study Mathematics, 15 study Physics, and 12 study both subjects.
How many students study only Mathematics?