GRE 2024 Quantitative Reasoning Practice Test Set 20 Question Paper with Solutions PDF is available for download. The overall test time is about 1 hour and 58 minutes. GRE has total 5 sections:
- Analytical Writing (One "Analyze an Issue" task, Alloted time 30 minutes)
- Verbal Reasoning (Two Sections, with 12 questions and 15 questions respectively)
- Quantitative Reasoning (Two Sections, with 12 questions and 15 questions respectively)
GRE 2024 Qantitative Reasoning Practice Test Set 20 Question Paper with Solutions PDF
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Given the equations \(x30y=4\) and \(1797+3y=15x\), compare Quantity A and Quantity B.
Quantity A: y
Quantity B: 1
John has 50 for soda and he must buy both diet and regular sodas. His total order must have at exactly two times as many cans of diet soda as cans of regular soda. What is the greatest number of cans of diet soda John can buy if regular soda is 0.50 per can and diet soda is 0.75 per can?
Find the intersection of the following two equations:
3x + 4y = 6
15x - 4y = 3
One of the roots of the equation x² + kx - 12 = 0 is 3, and k is a constant.
Quantity A: The value of k
Quantity B: -1
Two cars start 25 miles apart and drive away from each other in opposite directions at speeds of 50 and 70 miles per hour. In approximately how many minutes will they be 400 miles apart?
What is the value of (5 + x)(10 - y) when x = 3 and y = -3?
If 2x + y = 9 and y - z = 4 then 2x + z = ?
11/(x - 7) + 4/(7 - x) = ?
If 6h - 2g = 4g + 3h, in terms of g, h = ?
Audrey, Penelope and Clementine are all sisters. Penelope is 8 years older than Clementine and 2 years younger than Audrey. If the sum of Penelope and Clementine's age is Audrey's age, how old is Clementine's age?
If \(3x + y = 13\) and \(x - 2y = -12\), what is the value of x?
A given university has an average professor pay of $40,000 a year and an average administrator pay of $45,000 per year. If the ratio of professors to administrators is 4 to 3, and the total pay for professors and administrators in a year is 40,415,000, how many professors does the college have?
Given \(x > 0\).
Quantity A: \(-5x + 4\)
Quantity B: \(8 - 2x\)
A theme park charges $10 for adults and $5 for kids. How many kids tickets were sold if a total of 548 tickets were sold for a total of $3750?
Given the following information:
Sally is 2 years younger than Abby.
Daisy is 5 years older than Tracy.
Abby is 6 years older than Tracy.
Quantity A: Sally's age
Quantity B: Daisy's age
Given the equations:
\(x^2 + 5x - 24 = 0\)
\(y^2 - 9y + 20 = 0\)
Quantity A: x
Quantity B: y
Jen and Karen are travelling for the weekend. They both leave from Jen's house and meet at their destination 250 miles away. Jen drives 45mph the whole way. Karen drives 60mph but leaves a half hour after Jen. How long does it take for Karen to catch up with Jen?
Solve for z: \(3(z + 4) - 7 = 17\)
If \(5(3x + y) = 15\), what is x in terms of y?
Given:
\(y = x^2 - 10\)
\(y = 15\)
Quantity A: \(y/3\)
Quantity B: x
If \(a = \frac{1}{3}b\) and \(b = 4c\), then in terms of c, \(a - b + c = ?\)
If \(14x - 16y = 16\) and \(yz = 12\), then what is the value of \(3x - z\)?
If \(x^3 = 8\), then \(x^2(4/(3-x))(2/(4-x)) - (4/x^2) = ?\)
Sarah's current age is three times Ron's age two years ago. Sarah is currently 14 years older than Ron. What is the sum of Sarah and Ron's current age?
Jack has 14 coins consisting of nickels and dimes that total
(0.90. How many nickels does Jack have?
Abby works at a car dealership and receives a commission "c" which is a percent of the profit the dealership makes from the sale, which is the difference between the price "p" of the car and the value "v" of the car. How much, in dollars, does the dealership earn per transaction?
If \(8s - 6k = 4s - 2k\), then, in terms of s, k=?
Kim is twice as old as Claire. Nick is 3 years older than Claire. Kim is 6 years older than Emily. Their ages combined equal 81. How old is Nick?
The sum of two consecutive odd integers is 32. What is the value of the next consecutive odd integer?
A store sells potatoes for
(0.24 and tomatoes for
)0.76. Fred bought 12 individual vegetables. If he paid
(6.52 total, how many potatoes did Fred buy?
Jon invested part of
(16,000 at 3% and the rest at 5% for a total return of
)680.
Quantity A: The amount Jon invested at 5% interest
Quantity B: The amount Jon invested at 3% interest
Given the system of equations:
\(3x + 4y = 5\)
\(x - y = 6\)
Quantity A: x
Quantity B: y
Bill and Bob are working to build toys. Bill can build k toys in 6 hours. Bob can build k toys in 3 hours. How long would it take Bob and Bill to build 4k toys working together?
If x = 4, and y = 3x + 5, then 2y - 1 equals
A hybrid car gets 40 miles per gallon. Gasoline costs $3.52 per gallon. What is the cost of the gasoline needed for the car to travel 120 miles?
Two palm trees grow next to each other in Luke's backyard. One of the trees gets sick, so Luke cuts off the top 3 feet. The other tree, however, is healthy and grows 2 feet. How tall are the two trees if the healthy tree is now 4 feet taller than the sick tree, and together they are 28 feet tall?
Given the system of equations:
\(x + y = 12\)
\(2x - y = 6\)
Quantity A: x
Quantity B: y
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