GMAT SECTION 2: QUANTITATIVE Exam Questions and Answers

QUESTION: 51

If 20 typists can type 48 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?

63
72
144
216
400

Answer(s): D

Explanation:

First calculate the number of letters completed by 30 typists in 20 minutes. Let x = the number of letters typed by 30 typists and set up the proportion typists/letters = 20/48 = 30/x. Cross-multiply to get 20x = 1,440. Divide both sides by 20 and get x = 72. Since 20 minutes is one-third of an hour, multiply 72 × 3 = 216 to get the total letters for one hour.

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QUESTION: 52

What is the final balance of a bank account after two years if the starting balance is $1,000 at an annual rate of 5%, using simple interest? Assume no other money was withdrawn or deposited.

$50
$100
$1,050
$1,100
$1,150

Answer(s): D

Explanation:

This problem can be solved by using the simple interest formula: interest = principal × rate × time. Remember to change the interest rate to a decimal before using it in the formula. I = (1,000) (0.05) (2) = $100. Since $100 was made in interest, the total in the bank account is $1,000 + $100 = $1,100.

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QUESTION: 53

Which of the following has the smallest numerical value?

23 x 22
26
25 x 21
(22)3
23 x 33

Answer(s): A

Explanation:

Using the rules for exponents, choice a simplifies to 25 and choices b, c, and d simplify to 26 = 64. Choice e becomes 27 × 81, which is obviously much larger than 64.

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QUESTION: 54

How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to create a 35% iodine solution?

35
49
100
105
140

Answer(s): D

Explanation:

Let x = the number of liters of the 40% solution. Use the equation 0.40x + 0.20(35) = 0.35 (x + 35) to show the two amounts mixed equal the 35% solution.

Solve the equation: 0.40x + 0.20(35) = 0.35(x + 35)
Multiply both sides by 100 in order to work with more compatible numbers:
40x + 20(35) = 35(x + 35)
40x + 700 = 35x + 1,225
Subtract 700 on both sides: 40x + 700 – 700 = 35x + 1,225 – 700
Subtract 35x from both sides 40x – 35x = 35x – 35x + 525
Divide both sides by 5:5x/5 = 525/5
x = 105 liters of 35% iodine solution

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QUESTION: 55

If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile the same floor, how long would it take both Steve and Cheryl to tile the floor if they worked together?

2 hours 12 minutes
2 hours 24 minutes
3 hours
3 hours 12 minutes
10 hours

Answer(s): B

Explanation:

Let x = the part of the floor that can be tiled in 1 hour. Since Steve can tile a floor in 6 hours, he can tile 1/6 of the floor in 1 hour. Since Cheryl can tile the same floor in 4 hours, she can tile 1/4 of the floor in 1 hour. Use the equation 1/6 + 1/4 = 1/x, where 1/x represents the part of the floor they can tile in an hour together. Multiply each term by the LCD = 12x. 12x × 1/6 + 12x × 1/4 = 12x × 1/x. The equation simplifies to 2x + 3x = 12.5x =
12. Divide each side by 5 to get x = 12/5 =2.4 hours. Since 0.4 times 60 minutes equals 24 minutes, the final answer is 2 hours 24 minutes.

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GMAT GMAT SECTION 2: QUANTITATIVE Exam (page: 11) GMAT Section 2: Quantitative Updated on: 25-Dec-2025

QUESTION: 51

Explanation:

QUESTION: 52

Explanation:

QUESTION: 53

Explanation:

QUESTION: 54

Explanation:

QUESTION: 55

Explanation:

GMAT GMAT SECTION 2: QUANTITATIVE Exam (page: 11)
GMAT Section 2: Quantitative
Updated on: 25-Dec-2025