If a, b, c, d and e are integers and p = 2^a * 3^b and q =

Question

If a, b, c, d and e are 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

pi10t · Answer

amd08,

do u mean p/q or ... ?

CookieMonster · Answer

is your question " is p/q a terminating decimal?"

ricokevin · Answer

is p a four digit number (i.e. 2134) or is it p = 2*a*3*b??

and I presume u mean p/q a terminating decimal...

amd08 · Answer

oops that was a mistake. its p/q. corrected in the problem.

vshaunak@gmail.com · Answer

p/q = 2^(a-c) 3^(b-d) 5^(-e)

The values of b-d will affect the decision. a-c and e will not make any difference. As dividing by 3 created recurring decimals. Dividing by 5 or 2 don't.

Statement 1:
It tells nothing about b-d. b-d may be > 0 or may be <0> 0, p/q will be a terminating decimal. if b-d <0>0, so it will be a terminating decimal. Hence SUFF.

Answer should be 'B'.

Amardeep Sharma · Answer

I agree with vshaunak, any number divided by 2 and 5 gives terminating number but with 3 its recurring. hence answer is B

regards,

Amardeep

amd08 · Answer

B is right with the same explanation abt 2,3 and 5 as divisors. Thanks vshaunak and amardeep.

Amit05 · Answer

Yes B is the answer..

If a, b, c, d and e are integers and p = 2^a * 3^b and q =

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