If n is an integer, is n/15 an integer?
(1) 3n/15 is an integer.
(2) 8n/15 is an integer
OA B
Source: Official Guide
If n is an integer, is n/15 an integer? (1) 3n/15 is an
This topic has expert replies
-
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
From (1). 3n/15 is integer when n is multiple of 5 . so n=5, 10, 15, 20...BTGmoderatorDC wrote:If n is an integer, is n/15 an integer?
(1) 3n/15 is an integer.
(2) 8n/15 is an integer
OA B
Source: Official Guide
n/15 is an integer 15, 45 or multiple of 15 only and not when is 5, 10, 20, 25 etc, So clearly the Information is not sufficient to the answer the question.
from (2) 8n/15 is an integer for all multiples of LCM of 8 and 15. i.e 8n/15 is integer for all multiples of 120. n=120, 240, 360.
As 15 is factor of 120, it will be factor of every multiple of 120. Hence n/15 will always be an integer. Hence the information is sufficient.
Answer is B
BTGmoderatorDC wrote:If n is an integer, is n/15 an integer?
(1) 3n/15 is an integer.
(2) 8n/15 is an integer
OA B
Source: Official Guide
Statement 1. Tells us n is divisible by 5 but is insufficient to tell us if n is divisible by 3. Insufficient \(\Large{\color{red}\chi}\)
Statement 2. This is only possible if n is multiple of 15 as 8 does not have any prime factors same as 15. Sufficient \(\Large{\color{green}\checkmark}\)
Therefore, __B__