GRE General Test 2026–2027 Latest
Comprehensive Study Guide with Practice
Questions, Quantitative Review, Verbal Prep &
Success Strategies
3 5
1. If of a number is 36, what is of the same number?
4 6
• A. 40
• B. 45
• C. 48
• D. 50
• E. 54
Correct Answer: A. 40
3 4 5
Rationale: Let the number be 𝑥. 𝑥 = 36 → 𝑥 = 36 × = 48. Then × 48 =
4 3 6
5
40.Then × 48 = 40.
6
0.0004
2. Which of the following is equivalent to ?
0.002
• A. 0.0002
• B. 0.002
• C. 0.2
• D. 2
• E. 20
Correct Answer: C. 0.2
0.0004 4×10−4
Rationale: = = 2 × 10−1 = 0.2.
0.002 2×10−3
,3. If 𝑥 is an integer and 2𝑥 + 5 > 17, what is the smallest possible value of 𝑥?
• A. 5
• B. 6
• C. 7
• D. 8
• E. 9
Correct Answer: C. 7
Rationale: 2𝑥 + 5 > 17 → 2𝑥 > 12 → 𝑥 > 6. The smallest integer greater than
6 is 7.
4. What is the greatest common factor (GCF) of 84 and 120?
• A. 6
• B. 8
• C. 10
• D. 12
• E. 24
Correct Answer: D. 12
Rationale: Prime factorization: 84 = 22 × 3 × 7; 120 = 23 × 3 × 5. GCF
= 22 × 3 = 12.
5. A store offers a 20% discount on a $150 item, followed by an additional
10% discount on the sale price. What is the final price?
• A. $105
• B. $108
• C. $110
, • D. $115
• E. $120
Correct Answer: B. $108
Rationale: First discount: 150 × 0.80 = 120. Second discount: 120 × 0.90 =
108. Note: Successive discounts are NOT additive (20% + 10% ≠ 30%).
𝑥 3
6. If = and 𝑦 = 20, what is the value of 𝑥?
𝑦 5
• A. 8
• B. 10
• C. 12
• D. 15
• E. 18
Correct Answer: C. 12
𝑥 3 3
Rationale: = → 𝑥 = 20 × = 12.
20 5 5
7. What is 25% of 480?
• A. 80
• B. 100
• C. 120
• D. 140
• E. 160
Correct Answer: C. 120
Rationale: 480 × 0.25 = 120.
8. Which of the following fractions is greatest?
, 3
• A.
7
4
• B.
9
5
• C.
11
6
• D.
13
7
• E.
15
5
Correct Answer: C.
11
Rationale: Convert to decimals: 3/7 ≈ 0.4286, 4/9 ≈ 0.4444, 5/11 ≈ 0.4545,
6/13 ≈ 0.4615, 7/15 ≈ 0.4667. Wait, 7/15 ≈ 0.4667 is actually the largest. Let
me recalculate: 3/7 = 0.4286, 4/9 = 0.4444, 5/11 = 0.4545, 6/13 = 0.4615,
7/15 = 0.4667. So 7/15 is greatest. The correct answer is E. 7/15.
9. If 3𝑥 − 7 = 2𝑥 + 5, what is the value of 𝑥?
• A. 8
• B. 12
• C. 14
• D. 16
• E. 18
Correct Answer: B. 12
Rationale: 3𝑥 − 7 = 2𝑥 + 5 → 3𝑥 − 2𝑥 = 5 + 7 → 𝑥 = 12.
10. What is the least common multiple (LCM) of 12, 18, and 24?
• A. 36
• B. 48
• C. 72
Comprehensive Study Guide with Practice
Questions, Quantitative Review, Verbal Prep &
Success Strategies
3 5
1. If of a number is 36, what is of the same number?
4 6
• A. 40
• B. 45
• C. 48
• D. 50
• E. 54
Correct Answer: A. 40
3 4 5
Rationale: Let the number be 𝑥. 𝑥 = 36 → 𝑥 = 36 × = 48. Then × 48 =
4 3 6
5
40.Then × 48 = 40.
6
0.0004
2. Which of the following is equivalent to ?
0.002
• A. 0.0002
• B. 0.002
• C. 0.2
• D. 2
• E. 20
Correct Answer: C. 0.2
0.0004 4×10−4
Rationale: = = 2 × 10−1 = 0.2.
0.002 2×10−3
,3. If 𝑥 is an integer and 2𝑥 + 5 > 17, what is the smallest possible value of 𝑥?
• A. 5
• B. 6
• C. 7
• D. 8
• E. 9
Correct Answer: C. 7
Rationale: 2𝑥 + 5 > 17 → 2𝑥 > 12 → 𝑥 > 6. The smallest integer greater than
6 is 7.
4. What is the greatest common factor (GCF) of 84 and 120?
• A. 6
• B. 8
• C. 10
• D. 12
• E. 24
Correct Answer: D. 12
Rationale: Prime factorization: 84 = 22 × 3 × 7; 120 = 23 × 3 × 5. GCF
= 22 × 3 = 12.
5. A store offers a 20% discount on a $150 item, followed by an additional
10% discount on the sale price. What is the final price?
• A. $105
• B. $108
• C. $110
, • D. $115
• E. $120
Correct Answer: B. $108
Rationale: First discount: 150 × 0.80 = 120. Second discount: 120 × 0.90 =
108. Note: Successive discounts are NOT additive (20% + 10% ≠ 30%).
𝑥 3
6. If = and 𝑦 = 20, what is the value of 𝑥?
𝑦 5
• A. 8
• B. 10
• C. 12
• D. 15
• E. 18
Correct Answer: C. 12
𝑥 3 3
Rationale: = → 𝑥 = 20 × = 12.
20 5 5
7. What is 25% of 480?
• A. 80
• B. 100
• C. 120
• D. 140
• E. 160
Correct Answer: C. 120
Rationale: 480 × 0.25 = 120.
8. Which of the following fractions is greatest?
, 3
• A.
7
4
• B.
9
5
• C.
11
6
• D.
13
7
• E.
15
5
Correct Answer: C.
11
Rationale: Convert to decimals: 3/7 ≈ 0.4286, 4/9 ≈ 0.4444, 5/11 ≈ 0.4545,
6/13 ≈ 0.4615, 7/15 ≈ 0.4667. Wait, 7/15 ≈ 0.4667 is actually the largest. Let
me recalculate: 3/7 = 0.4286, 4/9 = 0.4444, 5/11 = 0.4545, 6/13 = 0.4615,
7/15 = 0.4667. So 7/15 is greatest. The correct answer is E. 7/15.
9. If 3𝑥 − 7 = 2𝑥 + 5, what is the value of 𝑥?
• A. 8
• B. 12
• C. 14
• D. 16
• E. 18
Correct Answer: B. 12
Rationale: 3𝑥 − 7 = 2𝑥 + 5 → 3𝑥 − 2𝑥 = 5 + 7 → 𝑥 = 12.
10. What is the least common multiple (LCM) of 12, 18, and 24?
• A. 36
• B. 48
• C. 72
