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If n is the product of the least and the greatest of 6 consecutive int

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Joined: 02 Sep 2009
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If n is the product of the least and the greatest of 6 consecutive int  [#permalink]

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New post 20 Oct 2019, 01:47
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (00:57) correct 24% (01:30) wrong based on 29 sessions

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Joined: 20 Jul 2017
Posts: 1048
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
If n is the product of the least and the greatest of 6 consecutive int  [#permalink]

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New post 20 Oct 2019, 02:37
Bunuel wrote:
If n is the product of the least and the greatest of 6 consecutive integers, what is the value of n ?

(1) The greatest of the 6 consecutive integers is 20.
(2) The average (arithmetic mean) of the 6 consecutive integers is 17.5.


(1) The greatest of the 6 consecutive integers is 20.
--> Set of 6 integers = {15, 16, 17, 18, 19, 20}
--> Product, n = 15*20 = 300 --> Sufficient

(2) The average (arithmetic mean) of the 6 consecutive integers is 17.5.
--> (a + (a+1) + . . . . + (a+5))/6 = 17.5
--> 6a + 15 = 105
--> 6a = 90
--> a = 15
--> Product, n = 15*20 = 300 --> Sufficient

IMO Option D
GMAT Club Bot
If n is the product of the least and the greatest of 6 consecutive int   [#permalink] 20 Oct 2019, 02:37
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