Reminder Question from Manhattan CAT

[Niner710]

Hi,

I was wondering if someone could help explain this question?

If a and b are positive integers such that a/b is 2.86 which of the following is divisor of a?

a) 10
b) 13
c) 18
d) 26
e) 50

[RoadtoIVY]

Is the answer E, I remember doing a similar problem in OG 12:

here is how:

Lets say when you divide a by b, q is the quotient and r is the remainder:
so you have:

a = b.q + r
divide both the sides by b
a/b = q + r/b
a/b = 2.86 = 2 + 0.86
so q + r/b = 2 + 0.86

so q =2, and r/b = 0.86 = 86/100 = 43/50

so b is 50. Very very difficult problem though. Hope it helps.

[heshamelaziry]

I reember the problem in OG that you refer to, but that problem did not ask for a divisor, it asked for the remanider

[RoadtoIVY]

Yeah, but you can use the same concept to find the solution of the problem above.

[heshamelaziry]

I think logically the answer here should be 50 because from 2.86 we know that the quotient is 2 and that r is 86 and b is 100. since 100 is a multiple of 50, then 50 is a divisor of a.

How that sounds ?

[thephoenix]

IMO ans is 13 ie B

a/b=2.86----->286/100----->143/50

as the q is saying a and b are 2 poistive int so after reducing it to lowest factor a is 143 and b is 50

and therefore divisor of a is 13

OA pls

[Niner710]

Thanks a lot that makes sense. The OA is (B).