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range of a set consisting of odd multiples of 7?

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by blaster » Fri Dec 24, 2010 2:32 am
the range of set is = max - min
if the set is consisting only numbers which is multiple of 7, the the range also must be multiple of 7 . for example 21-7,28-7 etc. only C and E remains
but here we have another restriction. set must consist only odd numbers. if odd-odd,the result must be even. so answer is E
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by Anurag@Gurome » Fri Dec 24, 2010 5:38 am
sachin_yadav wrote:Which of the following could be the range of a set consisting of odd multiples of 7?

(A) 21
(B) 24
(C) 35
(D) 62
(E) 70
The set may consist any of the following integers 7, 21, 35, 49, 63, ... etc.
Not that difference between any two numbers of the above list is an even multiple of 7. Thus range must be an even multiple of 7. Only option E works.

The correct answer is E.
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by sachin_yadav » Fri Dec 24, 2010 11:36 am
Anurag@Gurome wrote:
The set may consist any of the following integers 7, 21, 35, 49, 63, ... etc.
Not that difference between any two numbers of the above list is an even multiple of 7. Thus range must be an even multiple of 7. Only option E works.

The correct answer is E.
Anurag thank you very much for you reply. So, you mean to say that out of:-
(A) 21
(B) 24
(C) 35
(D) 62
(E) 70

70 is the only even multiple of 7, as 21 and 35 are the odd multiples of 7, and 24 and 62 are not multiples of 7 ?

waiting for your reply.
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by anshumishra » Fri Dec 24, 2010 11:48 am
sachin_yadav wrote:
Anurag@Gurome wrote:
The set may consist any of the following integers 7, 21, 35, 49, 63, ... etc.
Not that difference between any two numbers of the above list is an even multiple of 7. Thus range must be an even multiple of 7. Only option E works.

The correct answer is E.
Anurag thank you very much for you reply. So, you mean to say that out of:-
(A) 21
(B) 24
(C) 35
(D) 62
(E) 70

70 is the only even multiple of 7, as 21 and 35 are the odd multiples of 7, and 24 and 62 are not multiples of 7 ?

waiting for your reply.
Sachin,

Here is the question : Which of the following could be the range of a set consisting of odd multiples of 7?

Let's write some of the possible sets :
{7,21} - Range = 21-7 = 14
{7,21,35} - Range = 35 - 7 = 28
{7,21,35,49} - Range = 49 - 7 = 42
and so on...

So they are of the form = 7*2n
The only value which satisfy this is E (70 = 7*2*5)

Hope, it helps !
Thanks
Anshu

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by sachin_yadav » Fri Dec 24, 2010 12:31 pm
anshumishra wrote:
Sachin,

Here is the question : Which of the following could be the range of a set consisting of odd multiples of 7?

Let's write some of the possible sets :
{7,21} - Range = 21-7 = 14
{7,21,35} - Range = 35 - 7 = 28
{7,21,35,49} - Range = 49 - 7 = 42
and so on...

So they are of the form = 7*2n
The only value which satisfy this is E (70 = 7*2*5)

Hope, it helps !
Thank you so much Anshu. This has cleared my doubt.
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by StrawberryCow » Mon Apr 14, 2014 1:26 pm
Anurag@Gurome wrote:
sachin_yadav wrote:Which of the following could be the range of a set consisting of odd multiples of 7?

(A) 21
(B) 24
(C) 35
(D) 62
(E) 70
The set may consist any of the following integers 7, 21, 35, 49, 63, ... etc.
Not that difference between any two numbers of the above list is an even multiple of 7. Thus range must be an even multiple of 7. Only option E works.

The correct answer is E.
The way I solved this is:

The set may consist any of the following integers 7, 21, 35, 49, 63, ... etc.
Note that the difference between any two consecutive terms here is 14. So the range should be divisible by 14.And there is only one answer option i.e., E - 70 which is divisible by 14.

Not sure if this is the correct way to solve this. But it worked.
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by [email protected] » Mon Apr 14, 2014 11:21 pm
Hi StrawberryCow,

Your deduction is correct. It also goes to show how GMAT questions are pattern-based. Your ability to deduce the pattern makes this question quite easy to answer. Keep your eye out for patterns in all sections of the Test; they'll help you to solve questions with less work and in less time.

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