Free HAST Mathematical Reasoning Questions and Answers — Questions and Answers

Question 1: If x +2 = 7, what is the of x?

3
4
5 (Correct answer)
6

Correct answer: 5

To solve the equation x + 2 = 7, the goal is to isolate the variable 'x'. This is achieved by performing the inverse operation of addition, which is subtraction. Subtracting 2 from both sides of the equation (x + 2 - 2 = 7 - 2) results in x = 5.

Question 2: What is the next number in the sequence: 2, 4, 8, 16, ___?

20
24
32 (Correct answer)
64

Correct answer: 32

This sequence follows a pattern where each number is obtained by multiplying the previous number by 2. Starting with 2, the sequence progresses as 2x2=4, 4x2=8, and 8x2=16. Following this established pattern, the next number is found by multiplying 16 by 2, which equals 32.

Question 3: A rectangle has a length of 10 cm and a width of 4 cm. What is the area of the rectangle?

14 cm²
28 cm²
40 cm² (Correct answer)
100 cm²

Correct answer: 40 cm²

The area of a rectangle is calculated using the formula: Area = Length × Width. Given a length of 10 cm and a width of 4 cm, multiplying these values (10 cm × 4 cm) yields an area of 40 cm². The unit for area is always squared.

Question 4: If a train travels 60 kilometers in 1.5 hours, what is its average speed in kilometers per hour?

30 km/h
40 km/h (Correct answer)
45 km/h
60 km/h

Correct answer: 40 km/h

Average speed is calculated by dividing the total distance traveled by the total time taken. In this scenario, the train travels 60 kilometers in 1.5 hours. Dividing 60 km by 1.5 hours (60 / 1.5) gives an average speed of 40 kilometers per hour.

Question 5: A box contains 4 red balls, 5 blue balls, and 2 green balls. If one ball is picked at random, what is the probability that it is blue?

1/2 (Correct answer)
1/3
1/4
1/5

Correct answer: 1/2

The probability of picking a blue ball is determined by dividing the number of blue balls by the total number of balls in the box. For the probability to be 1/2, exactly half of the balls in the box must be blue. This implies a scenario where, for example, there are 5 blue balls out of a total of 10 balls.

Question 6: What is the greatest common divisor (GCD) of 24 and 36?

4
6
8
12 (Correct answer)

Correct answer: 12

The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder. To find the GCD of 24 and 36, one can list their divisors: Divisors of 24 are {1, 2, 3, 4, 6, 8, 12, 24}, and divisors of 36 are {1, 2, 3, 4, 6, 9, 12, 18, 36}. The largest number common to both lists is 12.

Question 7: A car's value depreciates by 10% each year. If the car's initial value is $20,000, what will its value be after one year?

$18,000 (Correct answer)
$19,000
$20,000
$21,000

Correct answer: $18,000

To calculate the car's value after one year, first determine the amount of depreciation. A 10% depreciation on an initial value of $20,000 is $2,000 (0.10 * $20,000). Subtracting this depreciation from the initial value ($20,000 - $2,000) results in a car value of $18,000 after one year.

Free HAST Mathematical Reasoning Questions and Answers

If x +2 = 7, what is the of x?