Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

If x is equal to the sum of the integers from 30 to 50 [#permalink]
08 Feb 2012, 14:31

2

This post received KUDOS

2

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

72% (02:38) correct
28% (01:58) wrong based on 155 sessions

If x is equal to the sum of the integers from 30 to 50, inclusive, and y is the number of EVEN integers from 30 to 50, inclusive, what is the value of x+y ?

So for X - {30 to 50} , No. of terms = 21, Mean = 50+30 / 2 = 40 So Sum of X = No of terms x Mean = 21 x 40 = 840 ---------------------------------------------------------------------------------------------------------------- Now for Y - {30, 32,34,36,38,40,42,44,46,48,50} Now since these have already been added before.....what am i supposed to do?......i am lost here..

Re: Consecutive Numbers (Number Properties) [#permalink]
08 Feb 2012, 14:37

Expert's post

nimc2012 wrote:

If x is equal to the sum of the integers from 30 to 50, inclusive, and y is the number of EVEN integers from 30 to 50, inclusive, what is the value of x+y ?

a) 810 b) 811 c) 830 d)850 e)851

---------------------------------------------

I started solving like this .....

Sum of integers = (Mean x No of Terms)

So for X - {30 to 50} , No. of terms = 21, Mean = 50+30 / 2 = 40 So Sum of X = No of terms x Mean = 21 x 40 = 840 ---------------------------------------------------------------------------------------------------------------- Now for Y - {30, 32,34,36,38,40,42,44,46,48,50} Now since these have already been added before.....what am i supposed to do?......i am lost here..

Sum = x + y = ????

The sum of the integers from 30 to 50, inclusive is \(x=\frac{first \ term+ last \ term}{2}*# \ of \ terms=\frac{30+50}{2}*21=40*21=840\);

The number of even integers from 30 to 50 is \(y=\frac{50-30}{2}+1=11\) (check this: totally-basic-94862.html);

x+y=840+11=851.

Answer: E.

As for your question: x and y are two different numbers: x is a sum of the integers from 30 to 50, inclusive and y is the number of EVEN integers from 30 to 50, inclusive.

Re: If x is equal to the sum of the integers from 30 to 50 [#permalink]
10 Feb 2013, 07:58

The correct answer to this question is E not D. You put D as the correct answer, so you could change it to E. It is confusing at first look. Thanks! _________________

Re: If x is equal to the sum of the integers from 30 to 50 [#permalink]
11 Feb 2013, 19:09

1

This post was BOOKMARKED

Since the integers from 30-50 are consecutive we can use the "median x # of terms formula" to determine x. There are 21 terms and the median is 40. This gives a total of 21x40 = 840. There are 11 even integers from 30-50 = y. Therefore, x+y = 851. Answer: E

If x is equal to the sum of the integers from 30 to 50, [#permalink]
06 Mar 2013, 13:34

If x is equal to the sum of the integers from 30 to 50, inclusive, and y is the number of even integers from 30 to 50, inclusive, what is the value of x+y ?

(A) 810 (B) 811 (C) 830 (D) 850 (E) 851

I know this is pretty easy. However, I always get the sum of even (or some multiple) integers wrong, I use the formula: (last-first)/2+1). Also hoping @GyanOne can show his mad Quant skills with some genius shortcut _________________

Re: If x is equal to the sum of the integers from 30 to 50, [#permalink]
06 Mar 2013, 13:37

Expert's post

megafan wrote:

If x is equal to the sum of the integers from 30 to 50, inclusive, and y is the number of even integers from 30 to 50, inclusive, what is the value of x+y ?

(A) 810 (B) 811 (C) 830 (D) 850 (E) 851

I know this is pretty easy. However, I always get the sum of even (or some multiple) integers wrong, I use the formula: (last-first)/2+1). Also hoping @GyanOne can show his mad Quant skills with some genius shortcut

Re: If x is equal to the sum of the integers from 30 to 50 [#permalink]
17 Feb 2015, 18:14

Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Re: If x is equal to the sum of the integers from 30 to 50 [#permalink]
18 Feb 2015, 00:45

If x is equal to the sum of the integers from 30 to 50, inclusive, and y is the number of EVEN integers from 30 to 50, inclusive, what is the value of x+y ?

A. 810 B. 811 C. 830 D. 850 E. 851

For X, Series is - 30,31,32,33,.......,48,49,50 (21 terms (50-30+1) with common difference 1) Sum = (21/2)*((2*30)+(20)) = 21*40 = 840

For Y, Series is - 30,32,34,....48,50 (11 terms (((50-30)/2)+1) with common difference 2) Y=11

X+Y = 840+11 = 851

E

gmatclubot

Re: If x is equal to the sum of the integers from 30 to 50
[#permalink]
18 Feb 2015, 00:45

Interested in applying for an MBA? In the fourth and final part of our live QA series with guest expert Chioma Isiadinso, co-founder of consultancy Expartus and former admissions...