Hi Bunuel,
as per your post, "Divisors & Remainders", which was explained by
KARISHMA, VERITAS PREP ---- Knocking Off the Remaining Remainderswhich was an outstanding post, eased me to find remainders.
Coming to our question, i have started solving the problem with the same appraoch,
a/b = 2.86
where 2 = quotient
remainder is expressed as .86, if we convert into simplest fraction we will be getting remainder and the divisor.
.86 = 86/100 = 43/50
where 43 = remainder & 50 = divisor
so our aim to find out the divisor of
a,
here we have got divisor as 50, so as per the concept, any other divisor values will be a multiple of 50.
so from our option choices, only 50 is a required multiple. so i chose E as my answer choice. (by the way its wrong)
from the comment section i could see, 2.86 is simplified as 286/100 = 143/50, where in my approach i am doing it as 86/100 = 43/50. May i know whether my apprach is right or not.
could you please help me out out where exactly i'm missing the track.
Thanks & Kudos in advance.
Bunuel wrote:
vigneshpandi wrote:
If a and b are positive integers such that a/b = 2.86, which of the following must be a divisor of a?
1. 10
2. 13
3. 18
4. 26
5. 50
\(\frac{a}{b}=2.86=\frac{286}{100}=\frac{143}{50}\) --> \(b=\frac{50a}{143}=\frac{50a}{11*13}\), for \(b\) to be an integer \(a\) must have all the factors of 143 (50 has none of them). Hence \(a\) must be divisible by both 11 and 13.
Answer: B.