What is the range of 29 consecutive even numbers?

Expert replies

Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

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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Brent@GMATPrepNow: GMAT Instructor; Posts: 16206; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

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

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

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

Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

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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