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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7612
GMAT 1: 760 Q51 V42 GPA: 3.82

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Difficulty:   25% (medium)

Question Stats: 82% (01:00) correct 18% (00:00) wrong based on 11 sessions

### HideShow timer Statistics What is the range of 29 consecutive even numbers?

A. 56
B. 58
C. 60
D. 62
E. 64

_________________
Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7612
GMAT 1: 760 Q51 V42 GPA: 3.82

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Official Solution:

What is the range of 29 consecutive even numbers?

A. 56
B. 58
C. 60
D. 62
E. 64

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

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Math Expert V
Joined: 02 Aug 2009
Posts: 7764

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Bunuel wrote:
What is the range of 29 consecutive even numbers?

A. 56
B. 58
C. 60
D. 62
E. 64

Another way....

How many gaps are there in 29 consecutive even integers -28
As there is 1 gap in two numbers ...x_y
Two gaps in 3 numbers x_y_z
So 28 gaps in 29 numbers and each gap is 2 units..
So total 28*2=56

A
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Manager  B
Joined: 01 May 2017
Posts: 82
Location: India

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Let's consider the first 29 even numbers,

2,4,6......

2(1,2,....29)

First even number = 2
Last even number of the 29 numbers = 2*29
= 58

Range = Max - Min
= 58 - 2
= 56

So, Option A is correct Re: M61-20   [#permalink] 28 Dec 2018, 02:19
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# M61-20

Moderators: chetan2u, Bunuel  