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Set A of 8 positive integers may have the same element and have 38. And set B of 8 positive integers must have different elements and have 38. When m and n are the greatest possible differences between 38 and other elements’ sums in set A and set B, respectively, m-n=? A. 20 B. 21 C. 23 D. 25 E. 26

Re: Set A of 8 positive integers may have the same element and have 38. An [#permalink]

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09 Jun 2016, 15:16

Since, the ques says 'greatest possible difference' Therefore, 38 - 7*a = m only by placing a =1 the difference will be maximum. Hence, 38 - 7*1 = 31 m = 31

Similarly In second case all numbers should be different but difference has to be maximum..

Therefore, here also only 1 such case is possible.. Where set B = {1,2,3,4,5,6,7,38}

Re: Set A of 8 positive integers may have the same element and have 38. An [#permalink]

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24 Nov 2016, 01:11

1

This post received KUDOS

Hi. This Question clearly has language Issues. When you say the difference between 38 and the other elements sum There are two possible differences => Case 1=> Sum-Difference Case2=> Difference -Sum

Apart from this the second statement in the Question is extremely messy.

Re: Set A of 8 positive integers may have the same element and have 38. An [#permalink]

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24 Nov 2016, 02:14

stonecold wrote:

Hi. This Question clearly has language Issues. When you say the difference between 38 and the other elements sum There are two possible differences => Case 1=> Sum-Difference Case2=> Difference -Sum

Apart from this the second statement in the Question is extremely messy.

Regards Stone Cold

Yes, I am also extremely confused by the wording of the question.

Re: Set A of 8 positive integers may have the same element and have 38. An [#permalink]

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06 Nov 2017, 06:37

MathRevolution wrote:

Set A of 8 positive integers may have the same element and have 38. And set B of 8 positive integers must have different elements and have 38. When m and n are the greatest possible differences between 38 and other elements’ sums in set A and set B, respectively, m-n=? A. 20 B. 21 C. 23 D. 25 E. 26

*An answer will be posted in 2 days.

THE WORDING OF THIS QUESTION IS SLIGHTLY CONFUSING, GREATEST POSSIBLE DIFFERENCE BETWEEN 38 AND OTHER ELEMENTS SOME. WHAT IF I REVERSE THE SIGN I MEAN TO SAY IF THE SUM IS MORE THAN 38 DIFFERENCE WILL BE STILL GREATEST WITH A CHANGE IN SIGN.