Free GRE Quantitative Reasoning Practice Test: GRE Reasoning Test-1

Free GRE Quantitative Reasoning Practice Test 2024 is vital for your preparation across verbal, quantitative, and analytical writing sections. Regularly completing online Free GRE Quantitative Reasoning Practice Tests enhances your understanding of various question types and improves performance evaluation. The official ETS website offers a range of GRE exam practice materials, and online courses can further aid in efficient exam preparation.

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Question 1:

• Quantity A: The least prime number greater than 24
• Quantity B: The greatest prime number less than 28

Answer Choices:

• (A) Quantity A is greater.
• (B) Quantity B is greater.
• (C) The two quantities are equal.
• (D) The relationship cannot be determined from the information given.

Answer: (A) Quantity A is greater.Explanation: The least prime number greater than 24 is 29. The greatest prime number less than 28 is 23. Therefore, Quantity A (29) is greater than Quantity B (23)

Question 2:

• Quantity A: 54% of 360
• Quantity B: 150Answer Choices:
  • (A) Quantity A is greater.
  • (B) Quantity B is greater.
  • (C) The two quantities are equal.
  • (D) The relationship cannot be determined from the information given
    
  Answer: (A) Quantity A is greater.
• Explanation: 54% of 360 is greater than 150. Without exact computation, we know 54% of 360 is greater than half of 360, which is 180, and 180 is greater than 150

Question 3: A car got 33 miles per gallon using gasoline that cost $2.95 per gallon. Approximately what was the cost, in dollars, of the gasoline used in driving the car 350 miles?

Answer Choices:

• (A) $10
• (B) $20
• (C) $30
• (D) $40
• (E) $50

Answer: (C) $30.

Explanation: The car used approximately \frac{350}{33} gallons of gasoline. Multiplying the number of gallons by the cost per gallon, \frac{350}{33}\times 2.95≈30

Question 4:

If x = 2y + 1 and y=3, what is the value of x?

Answer Choices:

• (A) 5
• (B) 6
• (C) 7
• (D) 8
• (E) 9

Answer: (C) 7.
Substituting y=3 into the equation x=2y+1 gives x=2(3)+1=7

Question 5: Which of the following integers are multiples of both 2 and 3? Indicate all such integers.

Answer Choices:

• (A) 8
• (B) 9
• (C) 12
• (D) 18
• (E) 21
• (F) 36

Answer: (C) 12, (D) 18, (F) 36.

Explanation: Multiples of both 2 and 3 are multiples of 6. Therefore, the correct choices are 12, 18, and 36

Question 6: One pen costs $0.25 and one marker costs $0.35. At those prices, what is the total cost of 18 pens and 100 markers?

Answer: $39.50.

Explanation: 18×0.25 = 4.50 and 100×0.35 = 35.00 The total cost is 4.50+35.00 = 39.50.

Question 7: Working alone at its constant rate, machine A produces kkk liters of a chemical in 10 minutes. Working alone at its constant rate, machine B produces kkk liters of the chemical in 15 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce kkk liters of the chemical?

Answer: 6 minutes.

Explanation: Machine A produces \frac{k}{10} liters per minute, and machine B produces \frac{k}{15} liters per minute. Together, they produce \frac{k}{10} + \frac{k}{15} = \frac{3k}{30} + \frac{2k}{30} = \frac{5k}{30} = \frac{k}{6} liters per minute. To produce k liters, it takes \frac{k}{\frac{k}{6}} = 6 minutes

Question 8: If the dollar amount of sales at Store P was $800,000 for 2006, what was the dollar amount of sales at that store for 2008?

Answer Choices:

• (A) $727,200
• (B) $792,000
• (C) $800,000
• (D) $880,000
• (E) $968,000

Answer: (B) $792,000.

Explanation: The sales increased by 10% from 2006 to 2007, resulting in $880,000. Then the sales decreased by 10% from 2007 to 2008, resulting in 90% of $880,000, which is $792,000.

Question 9: At Store T, the dollar amount of sales for 2007 was what percent of the dollar amount of sales for 2008? Give your answer to the nearest 0.1%.

Answer: 108.7%.

Explanation: If A is the dollar amount of sales at Store T for 2007, then 8% of A, or 0.08A, is the amount of decrease from 2007 to 2008. Thus, A−0.08A=0.92A is the dollar amount for 2008. Therefore, the desired percent can be obtained by dividing A by 0.92A, which equals \frac{1}{0.92} = 1.087. Expressed as a percent and rounded to the nearest 0.1%, this number is 108.7%

Question 10: If the ratio of A to B is 3:4 and the ratio of B to C is 5:6, what is the ratio of A to C?

• (A) 3:4
• (B) 5:6
• (C) 15:24
• (D) 5:8

Question 11: Simplify: 3(2x−4)−5(x+1).
(A) x−9

(B) x−7

(C) −x−9

(D) −x−7

Answer: (A) x−9.

Question 12: What is the value of \frac{3x + 2}{x - 1} when x=2?

(A) 5

(B) 6

(C) 4

(D) 7

Answer: (A) 5.

Question 13: If a data set has values 4, 8, 6, 5, and 7, what is the median of the data set?

(A) 5

(B) 6

(C) 7

(D) 8

Answer: (B) 6.

Question 14: The average of five numbers is 10. If one of the numbers is 12, what is the average of the remaining four numbers?

(A) 9.5

(B) 10

(C) 8

(D) 11

Answer: (A) 9.5.

Question 15: A survey found that 60% of 200 participants preferred coffee over tea. How many participants preferred coffee?

(A) 120

(B) 100

(C) 80

(D) 40

Answer: (A) 120.

Question 16: What is the solution to the equation x^2 - 5x + 6 = 0

(A) 1 and 6

(B) 2 and 3

(C) -2 and -3

(D) 1 and 2

Answer: (B) 2 and 3.

17. What is the greatest common divisor (GCD) of 36 and 60?

(A) 6

(B) 12

(C) 18

(D) 24

Answer: (B) 12.

18. If \frac{a}{b} = \frac{3}{4} and b=8, what is a?

(A) 6

(B) 8

(C) 9

(D) 12

Answer: (D) 6.

19. If the price of an item is increased by 20% and then decreased by 20%, what is the net percentage change in the price?

(A) 4% decrease

(B) 4% increase

(C) 0%

(D) 20% decrease

Answer: (A) 4% decrease.

20. In a right triangle, one angle is 30 degrees. What is the measure of the other non-right angle?

(A) 30 degrees

(B) 45 degrees

(C) 60 degrees

(D) 75 degrees

Answer: (C) 60 degrees.