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

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Intern
Joined: 03 Feb 2005
Posts: 28
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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Make use of the socratic method...

Manager
Joined: 18 Aug 2005
Posts: 85
Location: Italy, Rome caput mundi

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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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"To win the battle you need to last 15 minutes longer than your enemies"

Intern
Joined: 30 Sep 2005
Posts: 20

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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
VP
Joined: 22 Aug 2005
Posts: 1112
Location: CA

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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
Senior Manager
Joined: 29 Nov 2004
Posts: 483
Location: Chicago

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07 Oct 2005, 11:46
is there something wrong with the question? I dont understand it...
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Fear Mediocrity, Respect Ignorance

Senior Manager
Joined: 30 Oct 2004
Posts: 284

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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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-Vikram

Intern
Joined: 03 Feb 2005
Posts: 28

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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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Make use of the socratic method...

Manager
Joined: 10 Sep 2005
Posts: 162

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09 Oct 2005, 04:26
am getting D..now

whats the OA
Intern
Joined: 03 Feb 2005
Posts: 28

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10 Oct 2005, 04:12
OA is D

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Make use of the socratic method...

Senior Manager
Joined: 15 Apr 2005
Posts: 415
Location: India, Chennai

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10 Oct 2005, 05:05
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
Director
Joined: 09 Jul 2005
Posts: 591

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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.
10 Oct 2005, 07:00
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