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

 It is currently 09 Dec 2019, 14:58

### 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

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

# A sequence consists of the consecutive integers from 1 through m. Does

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59622
A sequence consists of the consecutive integers from 1 through m. Does  [#permalink]

### Show Tags

12 Jul 2019, 00:04
00:00

Difficulty:

55% (hard)

Question Stats:

50% (01:09) correct 50% (01:19) wrong based on 38 sessions

### HideShow timer Statistics

A sequence consists of the consecutive integers from 1 through m. Does m equal to 49?

(1) The average of the integers in the sequence is not an integer.
(2) The median of the integers in the sequence is not an integer.

_________________
Manager
Joined: 27 Mar 2016
Posts: 116
GMAT 1: 590 Q44 V22
A sequence consists of the consecutive integers from 1 through m. Does  [#permalink]

### Show Tags

Updated on: 12 Jul 2019, 00:23
Sum of 49 terms/ 49 is an integer hence m can't be 49. Sufficient
B. Median is not an integer, sonumber of terms must be even.hence m can't be 49

Posted from my mobile device

Originally posted by ashudhall on 12 Jul 2019, 00:14.
Last edited by ashudhall on 12 Jul 2019, 00:23, edited 1 time in total.
Director
Joined: 04 Sep 2015
Posts: 665
Location: India
WE: Information Technology (Computer Software)
Re: A sequence consists of the consecutive integers from 1 through m. Does  [#permalink]

### Show Tags

12 Jul 2019, 00:21
IMO : D

A sequence consists of the consecutive integers from 1 through m. Does m equal to 49?

(1) The average of the integers in the sequence is not an integer.
(2) The median of the integers in the sequence is not an integer.

The avg of the sequence that consist of consecutive integers= (first+last)/2.

1) so (1+49)/2=50/2=25 ; which is an integer, that means m is not equal to 49.

Sufficient.

2) the median of the sequence from 1 to 49 =25, which is again a integer, so sufficient m is not =49.

D
Manager
Joined: 05 Oct 2014
Posts: 122
Location: India
Concentration: General Management, Strategy
GMAT 1: 580 Q41 V28
GPA: 3.8
WE: Project Management (Energy and Utilities)
Re: A sequence consists of the consecutive integers from 1 through m. Does  [#permalink]

### Show Tags

11 Nov 2019, 23:33
A sequence consists of the consecutive integers from 1 through m. Does m equal to 49?

(1) The average of the integers in the sequence is not an integer.
(2) The median of the integers in the sequence is not an integer.[/quote]

(1) Sum can be calcualted from n/2 [2a+(n-1)d] =1225, which divided by 49 will give average as 25. Thus, it is found average is infact Integer. SUFFICIENT.

(2) Median = Middle Number of a set of numbers. Thus S=[1,2,....49] when m=49, the median would be 25. Thus it is found median is in fact integer. SUFFICIENT

Thus correct option is D, both are sufficient
Re: A sequence consists of the consecutive integers from 1 through m. Does   [#permalink] 11 Nov 2019, 23:33
Display posts from previous: Sort by