GMAT Sample Questions & Answers
Three evenly split sections cover arithmetic, algebra and word problems, reading comprehension paired with critical reasoning, and data insights work such as sufficiency questions, multi-source reasoning and table analysis.
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- Question 1
Kelly used to get a 30% discount on movie tickets. When the price of the movie ticket increased by 50%, the amount of discount in dollars remained the same. What is Kelly's discount with the new Ticket price in percent terms?
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Correct answer: B
Explanation:
The price of the ticket is unknown. It would be most convenient to plug in 100 as the price of the ticket.
A 30% discount of 100 is $30, that amount remained the same after the price of a ticket increasedby 50%.
The new price of a ticket is $150, so 30/150 is 20%. - Question 2
In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year.
If Joey’s grade at the end of the first year is 40, what will be his grade at the end of the third year?Show answer & explanation
Correct answer: D
Explanation:
From the grade 40 at the end of the first year we learn that his age is 20.
At the end of the second year, he will be 21 and his grade will be 21 × 2 + 1/2 × 40 = 62.
At the end of the third year, he will be 22 and his grade will be 22 × 2 + 1/2 × 62 = 75. - Question 3
A is a prime number (A > 2). If C = A3, by how many different integers can C be equally divided?
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Correct answer: B
Explanation: Factorize C:
C = A × A × A: C can be equally divided into 1, A, A2, and A3 = C is 4 numbers total. - Question 4
If X is a positive integer and (405)4 is a multiple of 3X, what is the largest possible value of X?
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Correct answer: C
Explanation:
Test Prep GMAT Test Exam
7
Find the factors of (405)4 and see what the largest value of X can be.
405 = 81 × 5 = 9 × 9 × 5 = 3 × 3 × 3 × 3 × 5
(405)4 = (3 × 3 × 3 × 3 × 5)4 = 316 × 54.
The largest possible value of 3X that is still a factor of (405)4 is the largest possible value of X and that is 316.
X = 16. - Question 5
N is a prime number bigger than 5. Which of the following expressions must be even?
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Correct answer: D
Explanation:
Answer (N + 1) (N + 2) is a multiplication of two consecutive numbers, therefore one of them must be even, and an even number multiplied by a different number is an even number. - Question 6
The original price of a car was $25,200. Because the car owner thought he could get more money for the car, he increased the price of the car to 110% of its original price. After a week, the car had not sold, so the owner then discounted the price by 10%, and the car was finally sold. What price was the car sold for?
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Correct answer: C
Explanation:
Pay attention, when you raise a number by X% and then you reduce X% you don’t get the original number again because the second time you took X% off you reduced it from a larger number thus answer $25,200 is not the correct one.
Let’s check: 25,200 × 1.1 = 27,720.
27,720 × 0.9 = 24,948 and not 25,200. - Question 7
On a map, 1 inch represents 28 miles. How many inches would be necessary to represent a distance of 383.6 miles?
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Correct answer: C
Explanation:
This is a proportion problem. Dividing the requested amount of miles by the reference amount would give us the answer in inches. 383.6 / 28 = 13.7 inches. - Question 8
15 Java programmers, working in a constant pace, finish a web page in 3 days. If after one day, 9 programmers quit, how many more days are needed to finish the remainder of the job?
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Correct answer: A
Explanation:
The total working days for finishing a web page are 15 × 3 = 45. If after one day 9 programmers quit, only 15 working days are done and the rest of the programmers (6).
Need to finish 45 15 = 30 days of work. It will take them 5 more days. - Question 9
Tim and Élan are 90 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they multiply their speeds, what is the distance that Tim will pass until he meets Élan?
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Correct answer: D
Explanation:
Tim is traveling at twice the speed of Élan, and so will be after they multiply their speeds.
In other words, their speeds will always be at a 2:1 ratio no matter what and therefore the ratio between the roads that they’ll pass will also be 2:1 or 60 miles to 30 miles. Tim will go through 60 miles. - Question 10
In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates (4, 0), (6, 3), and (6, 3)?
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Correct answer: D
Explanation:
First draw the x- and y-axes, then plot the points and connect them. The length of the base is 6 units [from (6, 3) to (6, 3)] and the height is 2 units [from (6, 0) to (4, 0)].Area of a triangle = (base × height) / 2, so (6 × 2) / 2 is 6.
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