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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2509
Given Kudos: 1058
GPA: 3.39
If x is equal to the sum of the even integers from 40 to 60 inclusive,
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15 Feb 2023, 09:57
15 Feb 2023, 09:57
Expert Reply
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Question Stats:
56% (01:35) correct
43% (02:03) wrong based on 30 sessions
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If x is equal to the sum of the even integers from 40 to 60 inclusive, and y is the number of even integers from 40 to 60 inclusive, what is the value of x+y?
A. 550
B. 551
C. 560
D. 561
E. 572
A. 550
B. 551
C. 560
D. 561
E. 572
Re: If x is equal to the sum of the even integers from 40 to 60 inclusive,
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18 Feb 2023, 01:15
18 Feb 2023, 01:15
3
Expert Reply
# of even integers from 40 to 60 inclusive is \(y=\frac{60-40}{2}+1=11\) (check this: https://gmatclub.com/forum/totally-basi ... le%20range);
Sum of the even integers from 40 to 60 inclusive is \(x=\frac{40+60}{2}*11=550\). Even integers represent evenly spaced set, the sum of the terms in evenly spaced set is: mean, which is the average of the first and the last terms, multiplied by the # of terms;
So, \(x+y=11+550=561\).
Answer: D.
Sum of the even integers from 40 to 60 inclusive is \(x=\frac{40+60}{2}*11=550\). Even integers represent evenly spaced set, the sum of the terms in evenly spaced set is: mean, which is the average of the first and the last terms, multiplied by the # of terms;
So, \(x+y=11+550=561\).
Answer: D.
Re: If x is equal to the sum of the even integers from 40 to 60 inclusive,
[#permalink]
13 Jun 2025, 13:26
13 Jun 2025, 13:26
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