Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, 36, 0.72, and 3.005 are terminating decimals. If a, b, c, d and e are non-negative integers and p = 2^a.3^b and q = 2^c.3^d.5^e, is p/q, a terminating decimal?
(1) a > c
(2) b > d
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Terminating decimal
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rijul007
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p = 2^a.3^b
q = 2^c.3^d.5^e
p/q = 2^(a-c) * 3^(b-d) * 5^(-e)
Any integer divided by 3 when converted to decimel becomes non-terminating integer..
does not depend on 2 and 5
So, we can rephrase the ques as
Is b-d< 0?
or
Is b<d??
Statement 1
Insufficient
Statement 2
Sufficient
Option B
q = 2^c.3^d.5^e
p/q = 2^(a-c) * 3^(b-d) * 5^(-e)
Any integer divided by 3 when converted to decimel becomes non-terminating integer..
does not depend on 2 and 5
So, we can rephrase the ques as
Is b-d< 0?
or
Is b<d??
Statement 1
Insufficient
Statement 2
Sufficient
Option B
