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M61-20

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Math Revolution GMAT Instructor
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M61-20  [#permalink]

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New post 18 Jun 2018, 05:16
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

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

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What is the range of 29 consecutive even numbers?


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

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Re M61-20  [#permalink]

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New post 18 Jun 2018, 05:16
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, \(Range = 56\).


Answer: A
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Math Expert
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Re: M61-20  [#permalink]

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New post 18 Jun 2018, 05:25
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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Re: M61-20  [#permalink]

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New post 28 Dec 2018, 02:19
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
GMAT Club Bot
Re: M61-20   [#permalink] 28 Dec 2018, 02:19
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