GMA Quantitative Reasoning 1 — Questions and Answers
Question 1: What is the value of x in the equation: 3x + 5 = 20?
- 3
- 5 (Correct answer)
- 7
- 10
Correct answer: 5
To solve for x: <br> Subtract 5 from both sides: 3x = 15 <br> 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?
- 4 cm
- 8 cm (Correct answer)
- 16 cm
- 32 cm
Correct answer: 8 cm
The area of a square is given by the formula: Area = side². <br> So, side² = 64, which gives side = √64 = 8 cm.
Question 3: What is the sum of the first 10 positive integers?
- 45
- 50
- 55 (Correct answer)
- 60
Correct answer: 55
The sum of the first n positive integers is given by the formula: <br> Sum = n(n + 1) / 2. <br> 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?
- 40 miles per hour
- 60 miles per hour (Correct answer)
- 70 miles per hour
- 80 miles per hour
Correct answer: 60 miles per hour
Average speed = total distance / total time. <br> 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)?
- 10x + 15 (Correct answer)
- 10x + 5
- 5x + 15
- 10x + 30
Correct answer: 10x + 15
Use the distributive property to multiply: <br> 5(2x + 3) = 5 × 2x + 5 × 3 = 10x + 15.
GMA Quantitative Reasoning 1
What is the value of x in the equation: 3x + 5 = 20?