GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Aug 2019, 15:52 ### GMAT Club Daily Prep

#### 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. ### Request Expert Reply # How many even multiples of 35 are there between 349 and 701?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Retired Moderator Joined: 29 Apr 2015
Posts: 827
Location: Switzerland
Concentration: Economics, Finance
Schools: LBS MIF '19
WE: Asset Management (Investment Banking)
How many even multiples of 35 are there between 349 and 701?  [#permalink]

### Show Tags

1
4 00:00

Difficulty:   35% (medium)

Question Stats: 65% (01:05) correct 35% (01:20) wrong based on 181 sessions

### HideShow timer Statistics

How many even multiples of 35 are there between 349 and 701?

A. 5
B. 6
C. 9
D. 10
E. 11

_________________
Saving was yesterday, heat up the gmatclub.forum's sentiment by spending KUDOS!

PS Please send me PM if I do not respond to your question within 24 hours.
Manager  Status: I am not a product of my circumstances. I am a product of my decisions
Joined: 20 Jan 2013
Posts: 108
Location: India
Concentration: Operations, General Management
GPA: 3.92
WE: Operations (Energy and Utilities)
Re: How many even multiples of 35 are there between 349 and 701?  [#permalink]

### Show Tags

reto wrote:
How many even multiples of 35 are there between 349 and 701?

A. 5
B. 6
C. 9
D. 10
E. 11

The given problem is in Arithmetic Progression.

Last Term = First Term + (N-1) Common Difference

First term = 350
Last Term = 700
Common Difference (D) = 35

From above formula N=11

350 is an even multiple and every 2nd multiple from 350 onward will be an even multiple.
Therefore number of even multiples is 6

Answer is B
Intern  B
Joined: 09 Mar 2017
Posts: 39
Location: India
GMAT 1: 650 Q45 V31 GPA: 4
WE: Marketing (Advertising and PR)
Re: How many even multiples of 35 are there between 349 and 701?  [#permalink]

### Show Tags

Bunuel, I did not understand this question.
Can you help me with an explanation to this?
Retired Moderator D
Joined: 25 Feb 2013
Posts: 1193
Location: India
GPA: 3.82
Re: How many even multiples of 35 are there between 349 and 701?  [#permalink]

### Show Tags

3
amitpandey25 wrote:
Bunuel, I did not understand this question.
Can you help me with an explanation to this?

Hi amitpandey25

any even multiple of $$35$$ will be of the form $$35*2k = 70k$$. Hence the first even multiple of $$35$$ will be $$70$$ ($$k=1$$)

In the given series the first multiple of $$70$$ is $$350$$ and the last multiple of $$70$$ is $$700$$. Hence we can use the AP formula to calculate total numbers
therefore, $$700 = 350 + (n-1)*70$$

or $$n = 6$$

Option B
Senior SC Moderator V
Joined: 22 May 2016
Posts: 3251
How many even multiples of 35 are there between 349 and 701?  [#permalink]

### Show Tags

reto wrote:
How many even multiples of 35 are there between 349 and 701?

A. 5
B. 6
C. 9
D. 10
E. 11

I found number of terms with $$\frac{Last - first}{increment}$$ + 1, where n = 11 and the number of even multiples should outnumber the odd multiples by one: $$n_{even}$$ = 6

But if you were stuck, the numbers here are few enough that you could list them.

We need EVEN multiples of 35 between 349 and 701.

The first one after 349 (that number is a big fat hint), is 350

350 + 35 = 385, but that's odd

385 + 35 = 420

That works. To get to the next even multiple after 350, you had to add 70.

Adding 35 to an even multiple yields odd (350 + 35). Adding 70 to an even multiple yields even (350 + 70). So just add 70 to the first multiple, keep adding 70, and stop when you're at < 701. Thus:

350
420
490
560
630
700

Done. There are 6 even multiples of 35 between 349 and 701.

Answer B
_________________
SC Butler has resumed!
Get two SC questions to practice, whose links you can find by date, here.

What we do now echoes in eternity.—Marcus Aurelius
Intern  B
Joined: 19 Apr 2017
Posts: 32
Location: India
WE: Management Consulting (Consulting)
How many even multiples of 35 are there between 349 and 701?  [#permalink]

### Show Tags

Notice that in the given set of numbers 349 and 701, the first/lowest of the even multiples of 35 can only start from 350, which is 35 * 10. Subsequently, notice that the last even multiple of 35 in the set that is closest to 701 is 700 which is 350 * 2 which is basically 35 * 20. Therefore, there are a total of 10+1 terms (inclusive set) that are all multiples of 35 that fall between 349 and 701. Of these we only need to find the number of even multiples thus 10/2 +1 = 5+1 = 6 answer option B.

Also interesting to note is that because the terms are even multiples of 35, after the first term in the set the numbers increase successively by 35*2, maintaining a difference of 70.
Non-Human User Joined: 09 Sep 2013
Posts: 12053
Re: How many even multiples of 35 are there between 349 and 701?  [#permalink]

### Show Tags

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: How many even multiples of 35 are there between 349 and 701?   [#permalink] 19 Sep 2018, 00:35
Display posts from previous: Sort by

# How many even multiples of 35 are there between 349 and 701?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

#### MBA Resources  