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Set B consists of five different positive integers. If the sum of all

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Bunuel
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Set B consists of five different positive integers. If the sum of all [#permalink] New post   02 Aug 2017, 23:48
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Set B consists of five different positive integers. If the sum of all terms in Set B is 18, what is the greatest possible value of a term in Set B?

A. 8
B. 10
C. 12
D. 14
E. 18
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Re: Set B consists of five different positive integers. If the sum of all [#permalink] New post   03 Aug 2017, 03:11
Bunuel wrote:
Set B consists of five different positive integers. If the sum of all terms in Set B is 18, what is the greatest possible value of a term in Set B?

A. 8
B. 10
C. 12
D. 14
E. 18

5 different positive integers . To maximize greatest value take the rest as lowest
1+2+3+4 + 8 = 18

A
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Re: Set B consists of five different positive integers. If the sum of all [#permalink] New post   04 Aug 2017, 08:59
Bunuel wrote:
Set B consists of five different positive integers. If the sum of all terms in Set B is 18, what is the greatest possible value of a term in Set B?

A. 8
B. 10
C. 12
D. 14
E. 18


Sum of 5 different positive integers = 18
To maximize one of the value, we need to minimize the remaining 4
So 1+2+3+4 = 10
Therefore , greatest possible value of a term in set B = 18 - 10 = 8

Answer A
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Re: Set B consists of five different positive integers. If the sum of all [#permalink] New post   05 Aug 2017, 03:25
Bunuel wrote:
Set B consists of five different positive integers. If the sum of all terms in Set B is 18, what is the greatest possible value of a term in Set B?

A. 8
B. 10
C. 12
D. 14
E. 18


Since all numbers are distinct and positive and their sum is 18, let's start with 1.

1+2+3+4+8 = 18

The greatest possible value is A) 8
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Re: Set B consists of five different positive integers. If the sum of all [#permalink] New post   09 Aug 2017, 12:54
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Bunuel wrote:
Set B consists of five different positive integers. If the sum of all terms in Set B is 18, what is the greatest possible value of a term in Set B?

A. 8
B. 10
C. 12
D. 14
E. 18


In order to find the greatest possible value of an element in a set, we need to minimize the remaining elements. Since the terms are positive and since they are distinct, the smallest values we can take for the remaining four terms are 1, 2, 3, and 4. Thus, the greatest value of the last term will be 18 - (1 + 2 + 3 + 4) = 18 - 10 = 8.

Answer: A
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Re: Set B consists of five different positive integers. If the sum of all [#permalink]
09 Aug 2017, 12:54
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