If x/2 + x/3 = 10, what is the value of x?
Find a common denominator for the fractions (6). So, (3x+2x)/6 = 10, which means 5x/6 = 10.
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Wrong!
Solve for x.
A rectangular garden is 15 meters long and 8 meters wide. What is its area in square meters?
Area of a rectangle = length × width.
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Wrong!
Calculate the area.
If 30 is x% of 150, what is the value of x?
Set up the equation: 30 = (x/100) imes 150.
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Wrong!
Find the value of x.
The sum of five consecutive odd integers is 115. What is the middle integer?
Let the integers be x, x+2, x+4, x+6, x+8. Their sum is 5x+20. Or, the average is the middle number: 115/5.
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Find the middle integer.
A cyclist travels at an average speed of 12 miles per hour. How long will it take the cyclist to travel 42 miles, in hours?
Time = Distance / Speed.
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Calculate the time in hours.
If the perimeter of a square is 48 units, what is its area in square units?
First find the side length (Perimeter / 4). Then find the area (side²).
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Find the area.
Simplify: (2^3 imes 2^4) / 2^5
When multiplying powers with the same base, add exponents. When dividing, subtract exponents. So, 2^{(3+4-5)}.
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Simplify the expression.
A class has 15 boys and 25 girls. What percentage of the class are boys?
Total students = 15 + 25 = 40. Percentage of boys = (Number of boys / Total students) × 100%.
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Calculate the percentage of boys.
If x+y = 10 and x-y = 4, what is the value of x?
Add the two equations together: (x+y) + (x-y) = 10+4. This will eliminate y.
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Solve for x.
The angles in a quadrilateral are x, 2x, 3x, and 4x. What is the value of x in degrees?
The sum of angles in a quadrilateral is 360 degrees. So, x + 2x + 3x + 4x = 360.
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Find the value of x.
GRE Problem Solving (Single Answer) Practice Quiz 4
Problem Solving Whiz!
You have a strong command of quantitative problem-solving!
Mathlete!
Good job on these problems. Keep practicing your strategies.
Quantitative Workout!
Review the problem-solving steps and ensure you understand the underlying concepts.
