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What is the range of 29 consecutive even numbers?

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What is the range of 29 consecutive even numbers?

by Max@Math Revolution » Tue Feb 06, 2018 12:21 am
[GMAT math practice question]

What is the range of 29 consecutive even numbers?

A. 56
B. 58
C. 60
D. 62
E. 64
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by Brent@GMATPrepNow » Wed Feb 07, 2018 10:23 am
Max@Math Revolution wrote: What is the range of 29 consecutive even numbers?

A. 56
B. 58
C. 60
D. 62
E. 64
Let's work with some actual values:

The set {2, 4, 6, 8, . . . 54, 56, 58} meets the given conditions.
So, the range = 58 - 2 = 56

Answer: A

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by Max@Math Revolution » Thu Feb 08, 2018 12:05 am
=>

The number of consecutive even integers is (the last term(L) - the first term(F))/2 + 1 and its range is L-F. Now, Range / 2 + 1 = (L-F)/2 + 1 = 29. So, Range / 2 = 28, and, hence, Range = 56

Therefore, the answer is A.

Answer: A
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by Jeff@TargetTestPrep » Thu Feb 08, 2018 4:19 pm

What is the range of 29 consecutive even numbers?

A. 56
B. 58
C. 60
D. 62
E. 64
If the first even number = x, then the second even number = x + 2, or x + 2(1), the third = x + 4, or x + 2(2), the fourth = x + 6, or x + 2(3). Thus, the last even number, or the 29th even number, is x + 2(28) = x + 56. Therefore, the range is:

(x + 56) - x = 56

Answer:A

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