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

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

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New post 12 Jul 2019, 00:04
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A
B
C
D
E

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Question Stats:

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

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

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New post 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
Hence answer is D

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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.
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Re: A sequence consists of the consecutive integers from 1 through m. Does  [#permalink]

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New post 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
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Re: A sequence consists of the consecutive integers from 1 through m. Does  [#permalink]

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New post 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
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Re: A sequence consists of the consecutive integers from 1 through m. Does   [#permalink] 11 Nov 2019, 23:33
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