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# If x is equal to the sum of even integers from 40 to 60,

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If x is equal to the sum of even integers from 40 to 60, [#permalink]

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07 Oct 2005, 07:21
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x is equal to the sum of 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 y?

(A) 550
(B) 551
(C) 560
(D) 561
(E) 572

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07 Oct 2005, 07:30
2+4+6+8= 20 x2

40 + 40 + 40 + 40+ 40 = 200

50 + 50 + 50 + 50 + 50 = 250

60

40+ 200+ 250+ 60= 550
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07 Oct 2005, 07:37
If x is equal to the sum of 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 y?

(A) 550
(B) 551
(C) 560
(D) 561
(E) 572

When you're writing ... y is the number... I suppose you're meaning the SUM, right!?

If y would be the sum of all even integers, it would be according to Gauss:

y = (First summand + last summand) / (Half of the number of summands)
= (40 + 60) / (11/2) = 550 -> A

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07 Oct 2005, 09:29
lazy_k wrote:
When you're writing ... y is the number... I suppose you're meaning the SUM, right!?

If y would be the sum of all even integers, it would be according to Gauss:

y = (First summand + last summand) / (Half of the number of summands)
= (40 + 60) / (11/2) = 550 -> A

You reminded me the school story of our friend Gauss where he had to sum 1-100

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07 Oct 2005, 12:43
If x is equal to the sum of 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 y?

(A) 550
(B) 551
(C) 560
(D) 561
(E) 572

I agree with ranga41... is there something missing in this question or a typo?

If its sum... lazy_k is on the money with the solution!

we are asked to find the "number of even integers" or y between 40 and 60 which would be 11... ??
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07 Oct 2005, 19:23
vikramm wrote:
If x is equal to the sum of 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 y?

(A) 550
(B) 551
(C) 560
(D) 561
(E) 572

I agree with ranga41... is there something missing in this question or a typo?

If its sum... lazy_k is on the money with the solution!

we are asked to find the "number of even integers" or y between 40 and 60 which would be 11... ??

It is a typo. It suppose to be "what is the value of x + y?" Sorry.
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09 Oct 2005, 04:26
am getting D..now

whats the OA

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10 Oct 2005, 04:12
OA is D

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10 Oct 2005, 05:05
1
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vikramm wrote:
If x is equal to the sum of 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 y?

(A) 550
(B) 551
(C) 560
(D) 561
(E) 572

I agree with ranga41... is there something missing in this question or a typo?

If its sum... lazy_k is on the money with the solution!

we are asked to find the "number of even integers" or y between 40 and 60 which would be 11... ??

It is a typo. It suppose to be "what is the value of x + y?" Sorry.

This is an AP with the first tem as 40 and last term as 60 and there are 11 terms between 40 and 60 with a difference of 2, so sum of these terms is
s = (n/2) (a + l) = (11/2) (40 + 60) = 550 = X
Y = number of terms = 11

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10 Oct 2005, 07:00
The sum of all the even numbers between 40 and 60, both included, is 550. The number of even numbers is 11. Therefore, x+y is 561 and the correct answer is D.

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Re: If x is equal to the sum of even integers from 40 to 60, [#permalink]

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12 Nov 2017, 05:31
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Re: If x is equal to the sum of even integers from 40 to 60,   [#permalink] 12 Nov 2017, 05:31
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# If x is equal to the sum of even integers from 40 to 60,

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