If 5(x-1) = 3x + 7, what is the value of x?
Distribute the 5, then gather x terms on one side and constants on the other.
Show hint
Correct!
Wrong!
Solve for x.
A car travels at 60 miles per hour for 3 hours and then at 40 miles per hour for 2 hours. What is the total distance traveled in miles?
Distance = Speed × Time. Calculate distance for each part of the journey and add them.
Show hint
Correct!
Wrong!
Calculate the total distance.
If a number is decreased by 30%, the result is 140. What is the original number?
If decreased by 30%, the result is 70% of the original number. Let O be original, then 0.70 * O = 140.
Show hint
Correct!
Wrong!
Calculate the original number.
The sum of the ages of three people is 75 years. If their ages are in the ratio 2:3:4, what is the age of the oldest person?
Let their ages be 2x, 3x, and 4x. Then 2x + 3x + 4x = 75. Solve for x, then find 4x.
Show hint
Correct!
Wrong!
Find the age of the oldest person.
What is the area of a triangle with base 10 units and height 6 units?
Area of a triangle = (1/2) × base × height.
Show hint
Correct!
Wrong!
Calculate the area in square units.
If x^2 = 144 and x < 0, what is the value of x?
There are two square roots of 144. Choose the negative one.
Show hint
Correct!
Wrong!
Solve for x.
A machine fills 200 bottles in 5 minutes. How many bottles can it fill in 1 hour?
First find the rate in bottles per minute. Then multiply by 60 minutes (1 hour).
Show hint
Correct!
Wrong!
Calculate the number of bottles.
If y = 2x + 3 and x = 4, what is the value of y?
Substitute x=4 into the equation for y.
Show hint
Correct!
Wrong!
Calculate the value of y.
The price of a computer is 800. If it is sold for 680, what is the percentage discount?
Discount amount = Original Price - Sale Price. Percentage Discount = (Discount Amount / Original Price) × 100%.
Show hint
Correct!
Wrong!
Calculate the percentage discount.
What is the median of the following set of numbers: 7, 2, 9, 4, 7, 1, 8?
First, arrange the numbers in ascending order. The median is the middle value.
Show hint
Correct!
Wrong!
Find the median of the set.
GRE Problem Solving (Single Answer) Practice Quiz 3
Problem Solving Ace!
You navigate these math problems with skill!
Calculation Crusader!
Good work! Keep practicing to master all problem types.
Math Maze Runner!
Review the steps for each problem type and practice consistently.
Share your Results:
