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06 Oct 2009, 02:06
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When 15n is divided by 6, the remainder is x. What is value of x?
1/ When n is devided by 2, the remainder is 0
2/ When n is divided by 3, the remainder is 0
1/ When n is devided by 2, the remainder is 0
2/ When n is divided by 3, the remainder is 0
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06 Oct 2009, 03:34
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1/ When n is divided by 2, the remainder is 0
This means n is even. 15x2 = 30. 15n will always be divisible by 30. You can test this by using n=4,6,8 etc. 30/6 has remainder 0.
Sufficient.
2/ When n is divided by 3, the remainder is 0
n = 3,6,9...
n=3 15n=45 45/6 has remainder 3
n=6 15n=90 90/6 has remainder 0
Not sufficient.
ANS = A.
This means n is even. 15x2 = 30. 15n will always be divisible by 30. You can test this by using n=4,6,8 etc. 30/6 has remainder 0.
Sufficient.
2/ When n is divided by 3, the remainder is 0
n = 3,6,9...
n=3 15n=45 45/6 has remainder 3
n=6 15n=90 90/6 has remainder 0
Not sufficient.
ANS = A.
07 Oct 2009, 13:55
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Here is another solution.
When 15n is divided by 6, the remainder is x. Simplyfing the equation 15 * / 6 results in 5n/2 and also states that x is the remainder.
When a number is divided by 2, the reaminder can be 0 thru n-1 which means in our case x can be either 0 or 1. Now the question is to find the value or X. In 5n/2, 5 is not divisible by 2. So the value of x depends on whether n is even(in which case x = 0) or n is odd(in which case x = 1).
Clue 1 When n is divided by 2, remainder is 0. Clearly n is even and hence x is zero. Sufficient.
Clue 2 When n is divided by 3, remainder is 0. Here n can be odd(for ex - 9) or even(for ex - 6) So x can be 1 or 1. Not sufficient.
Ans = A
When 15n is divided by 6, the remainder is x. Simplyfing the equation 15 * / 6 results in 5n/2 and also states that x is the remainder.
When a number is divided by 2, the reaminder can be 0 thru n-1 which means in our case x can be either 0 or 1. Now the question is to find the value or X. In 5n/2, 5 is not divisible by 2. So the value of x depends on whether n is even(in which case x = 0) or n is odd(in which case x = 1).
Clue 1 When n is divided by 2, remainder is 0. Clearly n is even and hence x is zero. Sufficient.
Clue 2 When n is divided by 3, remainder is 0. Here n can be odd(for ex - 9) or even(for ex - 6) So x can be 1 or 1. Not sufficient.
Ans = A
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
