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## Any decimal that has only a finite number

This topic has 1 expert reply and 0 member replies

### Top Member

lheiannie07 Master | Next Rank: 500 Posts
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#### Any decimal that has only a finite number

Thu Sep 21, 2017 6:22 am
Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, 12, 0.13, and 4.068 are three terminating decimals. If j and k are positive integers and the ratio j/k is expressed as a decimal, is j/k a terminating decimal?

(1) k = 3

(2) j is an odd multiple of 3.

Badly need help from experts here. How will i come up with the right statement?

OA C

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### GMAT/MBA Expert

Rich.C@EMPOWERgmat.com Elite Legendary Member
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Thu Sep 21, 2017 7:50 pm
Hi lheiannie07,

We're told that J and K are positive integers. We're asked if J/K can be expressed as a terminating decimal. This is a YES/NO question. We can solve it by TESTing VALUES.

1) K = 3

IF.... J = 3, then J/K = 3/3 = 1.0 and the answer to the question is YES.
J = 4, then J/K = 4/3 = 1.333333333etc. and the answer to the question is NO.
Fact 1 is INSUFFICIENT

2) J is an odd multiple of 3.

IF.... J = 3 and K = 3, then J/K = 3/3 = 1.0 and the answer to the question is YES.
J = 3 and K = 9, then J/K = 3/9 = 0.333333333etc. and the answer to the question is NO.
Fact 2 is INSUFFICIENT

Combined, we know
K = 3
J is an odd multiple of 3 (such as 3, 9, 15, 21, etc.)
Since J is a multiple of 3, dividing that number by 3 (the value of K) will ALWAYS lead to an integer. By definition, J/K will ALWAYS be a terminating decimal and the answer to the question is ALWAYS YES.
Combined, SUFFICIENT

GMAT assassins aren't born, they're made,
Rich

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Contact Rich at Rich.C@empowergmat.com

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