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The sum of the integers from 21 to 51 inclusive
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27 Feb 2024, 03:56
27 Feb 2024, 03:56
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Quantity A |
Quantity B |
The sum of the integers from 21 to 51 inclusive |
The sum of the integers from 24 to 49 inclusive |
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.
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Re: The sum of the integers from 21 to 51 inclusive
[#permalink]
27 Feb 2024, 10:25
27 Feb 2024, 10:25
1
The sum of a series of numbers is = (number of terms) * (mean of the first and last term).
When the range is inclusive, remember that the number of terms = (first term) - (last term) + 1.
Quantity A
number of terms = 51 - 21 + 1 = 31
mean of the first and last term = (51+21)/2 = 36
sum = 31 * 36 = 1116
Quantity B
number of terms = 49 - 24 + 1 = 26
mean of the first and last term = (49+24)/2 = 36.5
sum = 26 * 36.5 = 949
Since 1116 > 949, Quantity A is greater.
When the range is inclusive, remember that the number of terms = (first term) - (last term) + 1.
Quantity A
number of terms = 51 - 21 + 1 = 31
mean of the first and last term = (51+21)/2 = 36
sum = 31 * 36 = 1116
Quantity B
number of terms = 49 - 24 + 1 = 26
mean of the first and last term = (49+24)/2 = 36.5
sum = 26 * 36.5 = 949
Since 1116 > 949, Quantity A is greater.
Re: The sum of the integers from 21 to 51 inclusive
[#permalink]
23 Jan 2026, 09:22
23 Jan 2026, 09:22
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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