GMA Quantitative Reasoning

Question 1

What is the value of x in the equation: 3x + 5 = 20?

Accepted Answer

5

Answer

To solve for x:
Subtract 5 from both sides: 3x = 15
Divide both sides by 3: x = 5

Question 2

If the area of a square is 64 cm², what is the length of one side?

Accepted Answer

8 cm

Answer

The area of a square is given by the formula: Area = side².
So, side² = 64, which gives side = √64 = 8 cm.

Question 3

What is the sum of the first 10 positive integers?

Accepted Answer

55

Answer

The sum of the first n positive integers is given by the formula:
Sum = n(n + 1) / 2.
For n = 10, the sum = 10(10 + 1) / 2 = 10 × 11 / 2 = 55.

Question 4

If a car travels 120 miles in 2 hours, what is its average speed?

Accepted Answer

60 miles per hour

Answer

Average speed = total distance / total time.
Here, average speed = 120 miles / 2 hours = 60 miles per hour.

Question 5

Which of the following is equivalent to the expression 5(2x + 3)?

Accepted Answer

10x + 15

Answer

Use the distributive property to multiply:
5(2x + 3) = 5 × 2x + 5 × 3 = 10x + 15.

(GMA) General Mental Ability Practice Test