GMAT 2026 Practice Questions and Answers
with Detailed Explanations – Graduate
Management Admission Test Prep
Quantitative Reasoning — Questions 1–15
1. Percentage Change
A company's revenue increased by 25% in Year 1 and then decreased by 20% in Year 2. If the
original revenue was $80,000, what was the revenue in Year 2?
A. $76,000
B. $80,000
C. $84,000
D. $96,000
E. $100,000
Answer: B. $80,000
Explanation:
After a 25% increase:
\[ 80,000(1.25)=100,000 \]
Then revenue decreases by 20%:
\[ 100,000(0.80)=80,000 \]
Therefore, the final revenue is $80,000.
2. Algebra
If
\[ 5x-8=3x+14 \]
what is \(x\)?
A. 9
B. 10
C. 11
,D. 12
E. 13
Answer: C. 11
Explanation:
\[ 5x-3x=14+8 \] \[ 2x=22 \] \[ x=11 \]
3. Ratio
The ratio of managers to employees in a company is 2:9. If there are 44 managers, how many
employees are there?
A. 176
B. 198
C. 200
D. 220
E. 242
Answer: B. 198
Explanation:
\[ \frac{2}{9}=\frac{44}{x} \] \[ 2x=396 \] \[ x=198 \]
There are 198 employees.
4. Average
The average of five numbers is 24. If four of the numbers are 18, 21, 25, and 30, what is the fifth
number?
A. 22
B. 24
C. 26
D. 28
E. 30
Answer: C. 26
Explanation:
,Total of five numbers:
\[ 5(24)=120 \]
Known numbers:
\[ 18+21+25+30=94 \]
Therefore:
\[ 120-94=26 \]
5. Profit
A retailer buys a product for $120 and sells it for $150. What is the percentage profit based on
the cost?
A. 20%
B. 22%
C. 25%
D. 30%
E. 35%
Answer: C. 25%
Explanation:
Profit:
\[ 150-120=30 \]
Percentage profit:
\[ \frac{30}{120}\times100=25\% \]
6. Work Rate
Machine A can produce 60 units in 3 hours. At the same rate, how many units can it produce in 8
hours?
A. 120
B. 140
, C. 150
D. 160
E. 180
Answer: D. 160
Explanation:
Rate:
\[ 60\div3=20 \]
units per hour.
In 8 hours:
\[ 20(8)=160 \]
7. Simple Interest
A person invests $5,000 at a simple annual interest rate of 6%. How much interest will be earned
after 4 years?
A. $900
B. $1,000
C. $1,100
D. $1,200
E. $1,300
Answer: D. $1,200
Explanation:
\[ I=PRT \] \[ I=5000(0.06)(4) \] \[ I=1200 \]
8. Probability
A bag contains 5 red balls, 3 blue balls, and 2 green balls. If one ball is selected randomly, what
is the probability that it is blue?
A. \(1/5\)
B. \(3/10\)
with Detailed Explanations – Graduate
Management Admission Test Prep
Quantitative Reasoning — Questions 1–15
1. Percentage Change
A company's revenue increased by 25% in Year 1 and then decreased by 20% in Year 2. If the
original revenue was $80,000, what was the revenue in Year 2?
A. $76,000
B. $80,000
C. $84,000
D. $96,000
E. $100,000
Answer: B. $80,000
Explanation:
After a 25% increase:
\[ 80,000(1.25)=100,000 \]
Then revenue decreases by 20%:
\[ 100,000(0.80)=80,000 \]
Therefore, the final revenue is $80,000.
2. Algebra
If
\[ 5x-8=3x+14 \]
what is \(x\)?
A. 9
B. 10
C. 11
,D. 12
E. 13
Answer: C. 11
Explanation:
\[ 5x-3x=14+8 \] \[ 2x=22 \] \[ x=11 \]
3. Ratio
The ratio of managers to employees in a company is 2:9. If there are 44 managers, how many
employees are there?
A. 176
B. 198
C. 200
D. 220
E. 242
Answer: B. 198
Explanation:
\[ \frac{2}{9}=\frac{44}{x} \] \[ 2x=396 \] \[ x=198 \]
There are 198 employees.
4. Average
The average of five numbers is 24. If four of the numbers are 18, 21, 25, and 30, what is the fifth
number?
A. 22
B. 24
C. 26
D. 28
E. 30
Answer: C. 26
Explanation:
,Total of five numbers:
\[ 5(24)=120 \]
Known numbers:
\[ 18+21+25+30=94 \]
Therefore:
\[ 120-94=26 \]
5. Profit
A retailer buys a product for $120 and sells it for $150. What is the percentage profit based on
the cost?
A. 20%
B. 22%
C. 25%
D. 30%
E. 35%
Answer: C. 25%
Explanation:
Profit:
\[ 150-120=30 \]
Percentage profit:
\[ \frac{30}{120}\times100=25\% \]
6. Work Rate
Machine A can produce 60 units in 3 hours. At the same rate, how many units can it produce in 8
hours?
A. 120
B. 140
, C. 150
D. 160
E. 180
Answer: D. 160
Explanation:
Rate:
\[ 60\div3=20 \]
units per hour.
In 8 hours:
\[ 20(8)=160 \]
7. Simple Interest
A person invests $5,000 at a simple annual interest rate of 6%. How much interest will be earned
after 4 years?
A. $900
B. $1,000
C. $1,100
D. $1,200
E. $1,300
Answer: D. $1,200
Explanation:
\[ I=PRT \] \[ I=5000(0.06)(4) \] \[ I=1200 \]
8. Probability
A bag contains 5 red balls, 3 blue balls, and 2 green balls. If one ball is selected randomly, what
is the probability that it is blue?
A. \(1/5\)
B. \(3/10\)
