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M18-22

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M18-22  [#permalink]

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New post 16 Sep 2014, 00:04
2
7
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A
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C
D
E

Difficulty:

  85% (hard)

Question Stats:

39% (01:03) correct 61% (01:12) wrong based on 240 sessions

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Are all elements of an increasing infinite sequence of positive integers odd?


(1) All elements of the sequence are divisible by the same odd integer larger than 1

(2) The difference between any consecutive elements of the sequence is even

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Re M18-22  [#permalink]

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New post 16 Sep 2014, 00:04
Official Solution:


Statement (1) by itself is insufficient. For example, if "the same odd integer" is 5, the sequence can contain no odd integers (10, 20, 30, ...) or only odd integers (5, 15, 25, ...).

Statements (1) and (2) combined are insufficient. The same example shows that adding S2 to S1 does not help to answer the question.


Answer: E
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Re: M18-22  [#permalink]

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New post 24 Oct 2015, 07:41
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Point 1: Insufficient bcz odd number greater than 1 can be a factor of even and odd positive numbers.
For eg: 5 can be factor of 5,15,25 as well as 10,20 and 30.

Point 2: Insufficient bcz neither the statement nor the argument says the sequence starts with a positive odd number. Hence, the first number can either be positive odd or positive even. If so, the sequence can be off positive even or positive odd numbers.
For eg: The sequence can be 2,4,6,8..... or 5,15,25,35 .....

Point 1 and 2 : Insufficient bcz there are different possible sequences 14,28,42 .. or 7,21,35 ...
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Re: M18-22  [#permalink]

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New post 02 Sep 2016, 14:13
1
combining both

5, 15, 25, 35......


or 3, 9, 15, 21 .... so n dont understand why C is wrong
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Re: M18-22  [#permalink]

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New post 02 Sep 2016, 16:17
vijaisingh2001 wrote:
combining both

5, 15, 25, 35......


or 3, 9, 15, 21 .... so n dont understand why C is wrong


Statement 1 : This says that the numbers in the sequence are nothing but the multiples of a particular odd integer say 3, 5, 7 etc. These multiples can be odd or even. So, INSUFFICIENT.

Statement 2: This statement says, the difference between two numbers in the sequence is even. So, all the numbers in the sequence are either odd or even. So INSUFFICIENT.

Combining 1 & 2, still the sequence can have all the multiplies of an odd number that are either even or odd. Still INSUFFICIENT.

Hence E.
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Re: M18-22  [#permalink]

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New post 19 Feb 2018, 04:04
Why is C wrong?

If you combine both statements, sequence is something like, 3,9,15,21. All odd.
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M18-22  [#permalink]

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New post 19 Feb 2018, 04:38
anchitahuja wrote:
Why is C wrong?

If you combine both statements, sequence is something like, 3,9,15,21. All odd.


what about other series

do look at series other than the one you have mentioned
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M18-22 &nbs [#permalink] 19 Feb 2018, 04:38
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