GMAT Prep Quiz 5 2x
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———————————————————————————-REVIEW INSTRUCTIONS——————————————————————————————
Thorough review is critical to the learning process and for most people should take a significant amount of time (and effort!) potentially equally or surpassing the amount of time taken to do the question set.
- Redo questions that you got wrong or struggled on without looking at the answers or explanations. Think. Rethink. Push yourself. Put pen to paper. Don’t review with only your eyes!
- Once you’ve solved or if you aren’t able to solve in about 10 minutes carefully review the explanation (if provided). Again, put pen to paper and redo the question along with the explanation.
- If we haven’t provided an explanation or if our explanation didn’t clear up your doubts google the first few words of the question and confirm the solution on the GMAT forums.
- Except for CR and RC, take a screenshot and add it to your dropbox review folder so you can easily revisit the question when assigned review in your HW schedule.
- Bring questions that you still find difficult to QA or to our sessions. For sessions add the screenshots to the “review in session” folder in your dropbox.
Here’s a video outlining the review process: https://www.youtube.com/edit?o=U&video_id=X6k3niNoGuA
This is a crucial part of the preparation so let’s make sure we get it right. If you have any questions contact andrew@atlanticgmat.com or luciano@atlanticgmat.com.
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Question 1 of 20
1. Question
Which of the following is equal to the value of \(2^5+ 2^5 + 3^5 + 3^5 + 3^5?\)
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Question 2 of 20
2. Question
Each of 10 machines works at the same constant rate doing a certain job. The amount of time needed by the 10 machines, working together, to complete the job is 16 hours. How many hours would be needed if only 8 of the machines, working together, were used to complete the job?
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Question 3 of 20
3. Question
The sequence \(a_1, a_2, a_3, . . . , a_n\) of n integers is such that \(a_k = k\) if k is odd and \(a_k = -a_{k – 1}\) if k is even. Is the sum of the terms in the sequence positive?
(1) n is odd.
(2) \(a_n\) is positive.
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Question 4 of 20
4. Question
If x is an integer, is (\(x^2\) + 1)(x + 5) an even number?
(1) x is an odd number.
(2) Each prime factor of \(x^2\) is greater than 7.
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Question 5 of 20
5. Question
A boat traveled upstream a distance of 90 miles at an average speed of (v – 3) miles per hour and then traveled the same distance downstream at an average speed of (v + 3) miles per hour. If the trip upstream took half an hour longer than the trip downstream, how many hours did it take the boat to travel downstream?
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Question 6 of 20
6. Question
All of the stocks on the over-the-counter market are designated by either a 4-letter or a 5-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
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Question 7 of 20
7. Question
If the speed of x meters per second is equivalent to the speed of y kilometers per hour, what is y in terms of x ?
(1 kilometer = 1,000 meters)
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Question 8 of 20
8. Question
At a certain company, the average (arithmetic mean) number of years of experience is 9.8 years for the male employees and 9.1 years for the female employees. What is the ratio of the number of the company’s male employees to the number of the company’s female employees?
(1) There are 52 male employees at the company.
(2) The average number of years of experience for the company’s male and female employees combined is 9.3 years.
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Question 9 of 20
9. Question
If 0 < x < y, what is the value of \((x+y)^2\)/\((x-y)^2\)?
(1) \(x^2 + y^2\) = 3xy
(2) xy = 3
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Question 10 of 20
10. Question
A 4-person task force is to be formed from the 4 men and 3 women who work in Company G’s human resources department. If there are to be 2 men and 2 women on this task force, how many different task forces can be formed?
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Question 11 of 20
11. Question
The points A, B, C, and D are on a number line, not necessarily in that order. If the distance between A and B is 18 and the distance between C and D is 8, what is the distance between B and D ?
(1) The distance between C and A is the same as the distance between C and B.
(2) A is to the left of D on the number line.
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Question 12 of 20
12. Question
An integer greater than 1 that is not prime is called composite. If the two-digit integer n is greater than 20, is n composite?
(1) The tens digit of n is a factor of the units digit of n.
(2) The tens digit of n is 2.
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Question 13 of 20
13. Question
If \((5^{21})(4^{11}) = 2(10^n)\) what is the value of n?
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Question 14 of 20
14. Question
The positive integer k has exactly two positive prime factors, 3 and 7. If k has a total of 6 positive factors, including 1 and k, what is the value of k?
(1) \(3^2\) is a factor of k.
(2) \(7^2\) is not a factor of k.
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Question 15 of 20
15. Question
If n is a positive integer and r is the remainder when 4 + 7n is divided by 3, what is the value of r ?
(1) n + 1 is divisible by 3.
(2) n > 20
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Question 16 of 20
16. Question
The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 100 percent, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
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Question 17 of 20
17. Question
On the number line, if the number k is to the left of the number t, is the product kt to the right of t ?
(1) t < 0
(2) k < 1
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Question 18 of 20
18. Question
Is (x+1)/(x-3)<0?
(1) -1 < x < 1
(2) \(x^2\) – 4 < 0
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Question 19 of 20
19. Question
Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 temporary employees consist of 3 women and 1 man?
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Question 20 of 20
20. Question
If d is the standard deviation of x, y, and z, what is the standard deviation of x + 5, y + 5, and z + 5 ?
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