/100

GRE Preparation Quiz – Verbal + Quantitative

Test your GRE readiness with this comprehensive practice quiz containing original questions covering both Verbal Reasoning and Quantitative Reasoning sections.

 

Strong doubt or disbelief.

1 / 100

The scientist's theory was met with ___ from the academic community.

Very clear and convincing.

2 / 100

The author's argument was ___, supported by extensive research and logical reasoning.

Count favorable outcomes.

3 / 100

What is the probability of rolling a sum of 9 with two fair six-sided dice?

Use formula: (√3/4) × side²

4 / 100

What is the area of an equilateral triangle with side 10?

Use 3D Pythagorean theorem.

5 / 100

A rectangular box has dimensions 4, 5, and 6. What is the length of the space diagonal?

Two words meaning sharp and effective.

6 / 100

The lawyer's cross-examination was ___, systematically exposing contradictions in the witness's testimony.

Volume = (1/3)πr²h

7 / 100

A cone has a base radius of 5 and height of 12. What is its volume?

180° total.

8 / 100

If a triangle has angles 42° and 68°, what is the third angle?

Find all intersection points.

9 / 100

What is the area of the region bounded by y = 3x, y = -2x + 10, and the x-axis?

Open to different interpretations.

10 / 100

The treaty's language was deliberately ___, allowing both sides to claim victory.

Two words meaning unsuccessful.

11 / 100

The company's strategy was ___, failing to achieve its stated objectives.

250 × 0.42

12 / 100

What is 42% of 250?

Covering many different areas.

13 / 100

The professor's lecture was ___, covering an extraordinarily wide range of topics.

Express in same base.

14 / 100

If 2^(x) = 512 and 3^(y) = 729, what is x + y?

Divide by 5 first.

15 / 100

Solve for x: 5(x - 3) = 35

Two words meaning open to interpretation.

16 / 100

The novel's ending was deliberately ___, allowing readers to draw their own conclusions.

Find S(15) - S(14).

17 / 100

If the sum of the first n terms of an arithmetic sequence is 3n² + 2n, what is the 15th term?

A complete deadlock.

18 / 100

The negotiations reached a(n) ___ when both parties refused to make further concessions.

Two words meaning unclear.

19 / 100

The professor's explanation was ___, leaving students more confused than before.

Two words with similar negative meaning.

20 / 100

The politician's speech was both ___ and ___, leaving the audience confused about his actual position.

Very strong and convincing.

21 / 100

The evidence was ___, supporting the prosecution's case beyond reasonable doubt.

Consider different cases.

22 / 100

What is the sum of all solutions to |2x - 7| = |x + 4|?

Two words meaning complex.

23 / 100

The author's style was ___, making the text difficult to read.

Very strong and convincing.

24 / 100

The evidence presented during the trial was ___, leaving little room for reasonable doubt.

Arrange in order.

25 / 100

What is the median of 6, 10, 4, 12, 8, 14, 2?

(a+b)(a-b)

26 / 100

If a + b = 19 and a - b = 9, what is a² - b²?

180° total.

27 / 100

If a triangle has angles 40° and 65°, what is the third angle?

Calculate sequentially with care.

28 / 100

If a stock decreases by 25% and then increases by 40%, what is the net percentage change?

Volume = πr²h × 0.60

29 / 100

A cylindrical tank has radius 4 meters and height 6 meters. What is the volume of water when the tank is 60% full? (Use π ≈ 3.14)

480 × 0.35

30 / 100

What is 35% of 480?

Use (a+b)² = a² + 2ab + b².

31 / 100

If the sum of two numbers is 18 and their product is 80, what is the sum of their squares?

375 × 0.48

32 / 100

What is 48% of 375?

180° total.

33 / 100

If a triangle has angles 38° and 72°, what is the third angle?

Use (a+b)².

34 / 100

If a + b = 17 and ab = 72, what is a² + b²?

Two words showing mixed opinions.

35 / 100

The committee's recommendation was ___, reflecting deep divisions among its members.

280 × 0.55

36 / 100

What is 55% of 280?

Two words meaning very convincing.

37 / 100

The evidence was ___, supporting the prosecution's case strongly.

3log₅(x) - 2log₅(y)

38 / 100

If log₅(x) = 3 and log₅(y) = 2, what is log₅(x³/y²)?

350 × 0.28

39 / 100

What is 28% of 350?

Two cases.

40 / 100

What is the sum of all solutions to |3x - 6| = 9?

Use (x+y)² = x² + 2xy + y².

41 / 100

If x + y = 12 and x² + y² = 80, what is the value of xy?

Pythagorean theorem.

42 / 100

A rectangular garden is 20m by 15m. What is the length of the diagonal?

Arrange in order.

43 / 100

What is the median of 5, 9, 3, 11, 7, 13, 1?

Divide by 3 first.

44 / 100

Solve for x: 3(x + 4) = 27

Very surprising and important.

45 / 100

The scientist's findings were ___, contradicting long-held assumptions in the field.

Very complicated and intricate.

46 / 100

The novel's plot was ___, with multiple subplots converging in unexpected and intricate ways.

Two words meaning revolutionary.

47 / 100

The research findings were ___, challenging long-held beliefs in the scientific community.

Very complicated and intricate.

48 / 100

The novel's plot was ___, with multiple subplots converging in unexpected ways.

Use a³ + b³ = (a+b)(a² - ab + b²).

49 / 100

If a + b = 10 and a³ + b³ = 370, what is the value of ab?

Last digit must be even (2,4,6).

50 / 100

How many different 6-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6 if repetition is not allowed and the number must be even?

Extremely obscure and difficult.

51 / 100

The author's use of language was ___, making the text nearly inaccessible to general readers.

Use (x+y)² = x² + 2xy + y².

52 / 100

If x + y = 14 and x² + y² = 100, what is the value of xy?

C(7,6)/C(16,6)

53 / 100

A bag contains 7 red and 9 blue balls. Six balls are drawn without replacement. What is the probability that all six are red?

Total sum = 270. New sum = 224.

54 / 100

If the mean of 9 numbers is 30 and one number is removed, the mean becomes 28. What was the removed number?

7 parts = 56 boys.

55 / 100

If the ratio of boys to girls is 7:5 and there are 56 boys, how many girls are there?

Find numbers divisible by 12.

56 / 100

What is the sum of all integers n such that 1 ≤ n ≤ 200 and n is divisible by both 4 and 6?

Two words meaning stuck.

57 / 100

The negotiations were ___, with both sides refusing to compromise.

Use distance formula.

58 / 100

What is the distance between the points (1, 2) and (5, 7) in the coordinate plane?

Very different from accepted views.

59 / 100

The historian's interpretation was ___, fundamentally challenging the dominant narrative.

Use (a+b)².

60 / 100

If a + b = 13 and ab = 42, what is a² + b²?

Completely misguided.

61 / 100

The company's marketing strategy was ___, failing to resonate with its target demographic.

Total sum = 154. Sum of 4 numbers = 72.

62 / 100

If the mean of 7 numbers is 22 and the mean of 4 of those numbers is 18, what is the mean of the remaining 3 numbers?

If roots are a and b, find 1/a + 1/b.

63 / 100

If x² - 9x + 20 = 0, what is the sum of the reciprocals of the roots?

Express 32 as 2^5.

64 / 100

Solve for x: 2^(3x-1) = 32^(x-2)

Express everything with base 3.

65 / 100

If 3^(x+2) = 9^(y-1) and x + y = 6, what is the value of x - y?

Cube diagonal equals sphere diameter.

66 / 100

What is the volume of the largest cube that can fit inside a sphere of radius 9?

(a+b)(a-b)

67 / 100

If a + b = 19 and a - b = 9, what is a² - b²?

Seriously flawed.

68 / 100

The research methodology was ___, raising serious questions about the validity of the results.

Total sum = 350. New sum = 288.

69 / 100

If the mean of 10 numbers is 35 and one number is removed, the mean becomes 32. What was the removed number?

Express in same base.

70 / 100

If 2^(x) = 512 and 3^(y) = 729, what is x + y?

Very clear and convincing.

71 / 100

The author's argument was ___, supported by extensive research and rigorous logical analysis.

Inverse proportion.

72 / 100

If 6 workers can complete a job in 12 days, how many days will 8 workers take?

Pythagorean theorem.

73 / 100

A rectangular garden is 24m by 18m. What is the length of the diagonal?

Area = (d1 × d2)/2

74 / 100

What is the area of a rhombus with diagonals 14 and 12?

Make y the same in both ratios.

75 / 100

If x:y = 5:7 and y:z = 3:4, what is the ratio of x to z?

Use formula: 2(1+√2)s²

76 / 100

What is the area of a regular octagon with side length 4?

Avoiding direct answers.

77 / 100

The politician's response was ___, carefully avoiding any direct engagement with the questions posed.

(√3/4) × side²

78 / 100

What is the area of an equilateral triangle with side 12?

Combining different styles.

79 / 100

The artist's work was ___, blending influences from multiple cultural traditions.

9 parts = 72 boys.

80 / 100

If the ratio of boys to girls is 9:7 and there are 72 boys, how many girls are there?

Inverse proportion.

81 / 100

If 8 workers complete a job in 20 days, how many days for 16 workers?

Arrange in order and find middle values.

82 / 100

What is the median of 4, 8, 2, 10, 6, 12?

Area = (d1 × d2)/2

83 / 100

What is the area of a rhombus with diagonals 14 and 12?

Thoughtful and careful.

84 / 100

The committee's decision was ___, reflecting months of careful deliberation.

Inverse proportion.

85 / 100

If 9 workers complete a job in 24 days, how many days for 18 workers?

C(8,6)/C(18,6)

86 / 100

A bag contains 8 red and 10 blue balls. Six balls are drawn without replacement. What is the probability that all six are red?

Thoughtful and careful.

87 / 100

The committee's decision was ___, reflecting months of contentious debate and careful consideration.

Time = Distance/Speed

88 / 100

A train travels at 105 km/h. How long will it take to cover 735 km?

Time = Distance/Speed

89 / 100

A train travels at 90 km/h. How long will it take to cover 630 km?

Inverse proportion.

90 / 100

If 9 workers complete a job in 24 days, how many days for 18 workers?

Avoiding direct answers.

91 / 100

The politician's response was ___, carefully avoiding any direct answers to the questions posed.

Divide by 4 first.

92 / 100

Solve for x: 4(x - 2) = 24

3log₄(x) - log₄(y)

93 / 100

If log₄(x) = 4 and log₄(y) = 3, what is log₄(x³/y)?

Very strong and convincing.

94 / 100

The evidence presented was ___, leaving little room for reasonable doubt in the minds of the jurors.

Calculate each function step by step.

95 / 100

If f(x) = x² + 3x + 2 and g(x) = x + 1, what is f(g(3)) - g(f(2))?

Add the two equations after making coefficients match.

96 / 100

If 4x + 3y = 25 and 3x - 4y = 1, what is the value of x + y?

Consider different cases for absolute values.

97 / 100

What is the sum of all solutions to |2x - 5| = |x + 3|?

Mixed opinions.

98 / 100

The committee's recommendation was ___, reflecting deep divisions among its members.

Use log properties carefully.

99 / 100

If log₃(x) = 5 and log₃(y) = 3, what is the value of log₃(x²/y)?

Calculate favorable outcomes carefully.

100 / 100

Three marbles are drawn without replacement from a bag containing 5 red, 6 blue, and 7 green marbles. What is the probability that all three are different colors?

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