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09 Apr 2018, 02:08
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
67% (01:14) correct
33%
(01:21)
wrong
based on 600
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Set A consists of five unique prime numbers. Which of the following values, if added as a sixth term to Set A, must increase the range of Set A?
I. 0
II. 1
III. 100
A. I only
B. II only
C. III only
D. I and II only
E. II and III only
I. 0
II. 1
III. 100
A. I only
B. II only
C. III only
D. I and II only
E. II and III only
09 Apr 2018, 02:47
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Bunuel
Tricky question.
Set A consists of five unique prime numbers. Lowest possible element of the set could be 2. Highest possible element could be any large prime number.
To increase the range " Difference between the largest and smallest element of the set" : we need to either lower the lowest element or increase the largest one.
Hence adding either 0 or 1 to the set will surely increase it's range by at least 2 or 1 respectively.
We cannot say the same thing about 100, as the largest prime number already existing in the set could be larger than 100.
Hence Option (D) is our answer.
+1 Kudos if you liked the explanation
Best,
Gladi
General Discussion
09 Apr 2018, 02:40
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Since, the minimum possible prime number is 2, thus, 0 or 1 cannot be the 6 the term.
Thus, only possible number should be 100.
Thus, option C.
I am not sure, please correct me if I am wrong.
Sent from my Lenovo K53a48 using GMAT Club Forum mobile app
Thus, only possible number should be 100.
Thus, option C.
I am not sure, please correct me if I am wrong.
Sent from my Lenovo K53a48 using GMAT Club Forum mobile app
09 Apr 2018, 02:49
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Bookmarks
Bunuel
Only I (0) and II (1) will increase the range of set A. This is because minimum prime number is 2. Assume the prime numbers are 2,3,5, 97 and 109. Only I (0) and II (1) will increase the range of set A. III(100) will not increase the range. Therefore option "D" is the answer.
