Back
0

GMAT

Description: This quiz consists of 15 questions to test your understanding of various concepts covered in the GMAT exam.
Number of Questions: 15
Created by:
Tags: gmat quantitative aptitude verbal reasoning integrated reasoning
Start the Quiz
Attempted 0/15 Correct 0 Score 0
‹
›

If x + y = 10 and xy = 21, what is the value of x^2 + y^2?

  1. 29

  2. 49

  3. 69

  4. 89

Show answer
Correct Option: C
Explanation:

Using the identity (x + y)^2 = x^2 + y^2 + 2xy, we can solve for x^2 + y^2: (x + y)^2 = x^2 + y^2 + 2xy 10^2 = x^2 + y^2 + 2(21) 100 = x^2 + y^2 + 42 x^2 + y^2 = 100 - 42 = 58.

In a certain code, 'DOG' is written as '315' and 'CAT' is written as '213'. How is 'BAT' written in that code?

  1. 123

  2. 231

  3. 321

  4. 132

Show answer
Correct Option: D
Explanation:

In the given code, each letter is represented by the sum of its position in the alphabet. For example, D (4th letter) is represented by 4, O (15th letter) is represented by 15, and G (7th letter) is represented by 7. Similarly, B (2nd letter) is represented by 2, A (1st letter) is represented by 1, and T (20th letter) is represented by 20. Therefore, BAT is written as 132.

A train leaves New York at 10:00 AM and travels at a speed of 60 mph. Another train leaves Chicago at 11:00 AM and travels towards New York at a speed of 70 mph. If the distance between New York and Chicago is 1000 miles, at what time will the two trains meet?

  1. 1:00 PM

  2. 2:00 PM

  3. 3:00 PM

  4. 4:00 PM

Show answer
Correct Option: B
Explanation:

The relative speed of the two trains is 70 mph + 60 mph = 130 mph. Therefore, it will take (1000 miles) / (130 mph) = 7.69 hours for the two trains to meet. Since the first train leaves at 10:00 AM and the second train leaves at 11:00 AM, the two trains will meet at 10:00 AM + 7.69 hours = 2:00 PM.

A company has 100 employees, of which 40% are women and 60% are men. If 20% of the women and 30% of the men are married, how many married employees are there in the company?

  1. 22

  2. 28

  3. 34

  4. 40

Show answer
Correct Option: C
Explanation:

Number of women employees = 100 * 40% = 40 Number of men employees = 100 * 60% = 60 Number of married women employees = 40 * 20% = 8 Number of married men employees = 60 * 30% = 18 Total number of married employees = 8 + 18 = 26.

If log(x + 1) - log(x - 1) = 2, what is the value of x?

  1. 2

  2. 3

  3. 4

  4. 5

Show answer
Correct Option: B
Explanation:

log(x + 1) - log(x - 1) = 2 log((x + 1)/(x - 1)) = 2 (x + 1)/(x - 1) = 10^2 x + 1 = 100(x - 1) x + 1 = 100x - 100 99x = 101 x = 101/99 = 3.

A store sells a shirt for \$20. If the store offers a 20% discount on the shirt, what is the sale price of the shirt?

  1. \$16

  2. \$17

  3. \$18

  4. \$19

Show answer
Correct Option: A
Explanation:

Sale price = Original price - Discount Discount = 20% of \$20 = \$4 Sale price = \$20 - \$4 = \$16.

A rectangular room is 12 feet long and 8 feet wide. What is the area of the room in square feet?

  1. 96

  2. 104

  3. 112

  4. 120

Show answer
Correct Option: A
Explanation:

Area of the room = Length x Width Area = 12 feet x 8 feet = 96 square feet.

A train travels 240 miles in 4 hours. What is the average speed of the train in miles per hour?

  1. 50

  2. 55

  3. 60

  4. 65

Show answer
Correct Option: C
Explanation:

Average speed = Distance traveled / Time taken Average speed = 240 miles / 4 hours = 60 miles per hour.

If a number is increased by 20%, what is the percentage decrease required to bring it back to its original value?

  1. 16.67%

  2. 20%

  3. 25%

  4. 33.33%

Show answer
Correct Option: B
Explanation:

Let the original number be x. Increased number = x + 20% of x = x + 0.2x = 1.2x Percentage decrease required = (Increased number - Original number) / Increased number x 100% = (1.2x - x) / 1.2x x 100% = 0.2x / 1.2x x 100% = 20%.

A company has a profit of \$100,000 in a year. If the profit increases by 10% the following year, what is the profit in the second year?

  1. \$110,000

  2. \$120,000

  3. \$130,000

  4. \$140,000

Show answer
Correct Option: A
Explanation:

Profit in the second year = Profit in the first year + 10% of Profit in the first year Profit in the second year = \$100,000 + 0.1 x \$100,000 = \$110,000.

A company has 100 employees, of which 60% are men and 40% are women. If 20% of the men and 30% of the women are married, how many married employees are there in the company?

  1. 22

  2. 28

  3. 34

  4. 40

Show answer
Correct Option: C
Explanation:

Number of men employees = 100 * 60% = 60 Number of women employees = 100 * 40% = 40 Number of married men employees = 60 * 20% = 12 Number of married women employees = 40 * 30% = 12 Total number of married employees = 12 + 12 = 24.

A train leaves New York at 10:00 AM and travels at a speed of 60 mph. Another train leaves Chicago at 11:00 AM and travels towards New York at a speed of 70 mph. If the distance between New York and Chicago is 1000 miles, at what time will the two trains meet?

  1. 1:00 PM

  2. 2:00 PM

  3. 3:00 PM

  4. 4:00 PM

Show answer
Correct Option: B
Explanation:

The relative speed of the two trains is 70 mph + 60 mph = 130 mph. Therefore, it will take (1000 miles) / (130 mph) = 7.69 hours for the two trains to meet. Since the first train leaves at 10:00 AM and the second train leaves at 11:00 AM, the two trains will meet at 10:00 AM + 7.69 hours = 2:00 PM.

If log(x + 1) - log(x - 1) = 2, what is the value of x?

  1. 2

  2. 3

  3. 4

  4. 5

Show answer
Correct Option: B
Explanation:

log(x + 1) - log(x - 1) = 2 log((x + 1)/(x - 1)) = 2 (x + 1)/(x - 1) = 10^2 x + 1 = 100(x - 1) x + 1 = 100x - 100 99x = 101 x = 101/99 = 3.

A store sells a shirt for \$20. If the store offers a 20% discount on the shirt, what is the sale price of the shirt?

  1. \$16

  2. \$17

  3. \$18

  4. \$19

Show answer
Correct Option: A
Explanation:

Sale price = Original price - Discount Discount = 20% of \$20 = \$4 Sale price = \$20 - \$4 = \$16.

A rectangular room is 12 feet long and 8 feet wide. What is the area of the room in square feet?

  1. 96

  2. 104

  3. 112

  4. 120

Show answer
Correct Option: A
Explanation:

Area of the room = Length x Width Area = 12 feet x 8 feet = 96 square feet.

- Hide questions
ADVERTISEMENT

Find more quizzes from top tags

general knowledge
3615 Quizzes
119858 Questions
 technology
307 Quizzes
36705 Questions
 sports
963 Quizzes
19148 Questions
 history
1187 Quizzes
13475 Questions
 physics
598 Quizzes
13441 Questions
 biology
1160 Quizzes
12174 Questions
 science & technology
551 Quizzes
11015 Questions
 chemistry
490 Quizzes
9892 Questions
 maths
518 Quizzes
9324 Questions
 softskills
0 Quizzes
7131 Questions