Problem Solving

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.

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.

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 !

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.