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Let S be the sum of the elements of X, a set of 10 consecutive positi
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07 Jan 2023, 02:00
07 Jan 2023, 02:00
Expert Reply
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Question Stats:
64% (01:44) correct
35% (01:13) wrong based on 14 sessions
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Let S be the sum of the elements of X, a set of 10 consecutive positive integers.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(\frac{S}{10}-5\) |
The smallest of the integers in X |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: Let S be the sum of the elements of X, a set of 10 consecutive positi
[#permalink]
31 Jan 2023, 12:14
31 Jan 2023, 12:14
Expert Reply
OE
If the sum of 10 consecutive positive integers is S, then the average value in the sequence is S/10 This number can also be found by averaging the fifth and sixth numbers in the sequence (i.e., finding the “middle” value), which is exactly 4.5 greater than the lowest number. (For example, the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} has a sum S = 55. The average value is S/10=5.5 which is halfway between the numbers 5 and 6. Thus, this number is exactly 4.5 higher than the smallest number in the
sequence, which is 1.)
Using this logic, you may write the smallest number in the sequence as S/10-4.5
B >A
If the sum of 10 consecutive positive integers is S, then the average value in the sequence is S/10 This number can also be found by averaging the fifth and sixth numbers in the sequence (i.e., finding the “middle” value), which is exactly 4.5 greater than the lowest number. (For example, the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} has a sum S = 55. The average value is S/10=5.5 which is halfway between the numbers 5 and 6. Thus, this number is exactly 4.5 higher than the smallest number in the
sequence, which is 1.)
Using this logic, you may write the smallest number in the sequence as S/10-4.5
B >A
gmatclubot
Re: Let S be the sum of the elements of X, a set of 10 consecutive positi [#permalink]
31 Jan 2023, 12:14
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