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Set A is comprised of the following terms: (3x), (3x 4), (3x 8), (
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22 Feb 2023, 07:09
22 Feb 2023, 07:09
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Question Stats:
81% (00:48) correct
18% (01:04) wrong based on 11 sessions
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Set A is comprised of the following terms: (3x), (3x − 4), (3x − 8), (3x − 12), (3x − 16), and (3x − 20).
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 |
The sum of all the terms in Set A |
18x-70 |
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: Set A is comprised of the following terms: (3x), (3x 4), (3x 8), (
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25 Mar 2023, 03:35
25 Mar 2023, 03:35
Expert Reply
OE
The key here is to notice that Set A is an evenly spaced sequence, and thus you can easily solve for its sum. The median will be equal to
first term + last term/2
3x+(3x-2)/2=3x-10
Although there is a formula to figure out how many terms there are, it is easiest in this case to count. There are six terms in the set. The sum of the terms in the set is the average value of the terms (3x − 10) times the number of terms (6). (3x − 10) × 6 = 18x − 60 Rewrite the quantities: Set A is comprised of the following terms: (3x), (3x − 4), (3x − 8), (3x − 12), (3x − 16), and (3x − 20)
QA = 18x-60
QB = 18x-70
Be careful. Quantity A is subtracting a smaller number (60) than is Quantity B (70), and so has a larger value. Therefore, Quantity A is greater.
The key here is to notice that Set A is an evenly spaced sequence, and thus you can easily solve for its sum. The median will be equal to
first term + last term/2
3x+(3x-2)/2=3x-10
Although there is a formula to figure out how many terms there are, it is easiest in this case to count. There are six terms in the set. The sum of the terms in the set is the average value of the terms (3x − 10) times the number of terms (6). (3x − 10) × 6 = 18x − 60 Rewrite the quantities: Set A is comprised of the following terms: (3x), (3x − 4), (3x − 8), (3x − 12), (3x − 16), and (3x − 20)
QA = 18x-60
QB = 18x-70
Be careful. Quantity A is subtracting a smaller number (60) than is Quantity B (70), and so has a larger value. Therefore, Quantity A is greater.
gmatclubot
Re: Set A is comprised of the following terms: (3x), (3x 4), (3x 8), ( [#permalink]
25 Mar 2023, 03:35
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