FREE IBA Quantitative Reasoning Questions and Answers

Question 1

If 4(3x - 8) = 25, what is 3x - 10?

Accepted Answer

None of these

Answer

Explanation:
First, let's solve the equation 4(3x - 8) = 25:
Expand the expression: 4 * 3x - 4 * 8 = 25
This gives us: 12x - 32 = 25
Add 32 to both sides: 12x = 57
Divide both sides by 12: x = 57/12 = 4.75

Now, let's find the value of 3x - 10 when x = 4.75:
3 * 4.75 - 10 = 14.25 - 10 = 4.25

Therefore, none of the provided options match the result.

Question 2

The average of 21 numbers is 30. The largest number is 50. If we remove the largest number, then the average of the remaining numbers will be:

Accepted Answer

29

Answer

Explanation:
To find the average of the remaining numbers after removing the largest one:

Find the sum of all numbers (21 numbers) = 30 * 21 = 630.
Subtract the value of the largest number (50) from the sum: 630 - 50 = 580.
Divide the adjusted sum by the new number of numbers (21 - 1 = 20): 580 / 20 = 29.

So, the average of the remaining numbers is 29.

Question 3

The perimeter of a triangle is 240. Its sides are proportional to 3:4:5. The largest side of the triangle is:

Accepted Answer

100

Answer

Explanation:
To find the lengths of the sides of the triangle proportional to 3, 4, and 5:

1. Sum the proportions: 3 + 4 + 5 = 12.
2. Divide the perimeter by the sum of proportions: 240 / 12 = 20.
3. Multiply each proportion by the result:
Side 1: 3 × 20 = 60
Side 2: 4 × 20 = 80
Side 3: 5 × 20 = 100

Therefore, the largest side of the triangle is 100.

Question 4

The grades of John in nine monthly tests were 58, 80, 56, 58, 64, 80, 56, 90, 80. The mode of his grades is:

Accepted Answer

80

Answer

Explanation:
To find the mode (the most frequently occurring value) of John’s grades:

John’s grades: 58, 80, 56, 58, 64, 80, 56, 90, 80

Count the frequency of each grade:
58 appears twice
80 appears three times
56 appears twice
64 appears once
90 appears once

The grade that appears most frequently (the mode) is 80.

Question 5

If W < 25 then:

Accepted Answer

W > -25

Answer

Explanation:
If W < 25, it means that W is less than 25. However, there is no constraint on how small W can be as long as it's less than 25. Therefore, W could also be greater than -25.

IBA - Institute of Business Administration Practice Test

IBA - Institute of Business Administration Practice Test

FREE IBA Quantitative Reasoning Questions and Answers