Question

Find the two largest numbers of four digits having 531 as their HCF.
A.9231, 9762
B.9027, 9558
C.9037, 9568
D.9127, 9658

Answer 1

Hint: As we know that the greatest $4$ digit number is $9999$ and H.C.F.is $531$.So,using this data,we will try to solve this problem


Complete step by step solution:
Greatest 4 digit number is 9999
Given H.C.F=531,
We know that for two numbers A and B if C is the H.C.F, then these numbers must divisible by their H.C.F
In the given question HCF=531,
$ \Rightarrow $ The two numbers which are divisible by 531 will be the correct pair of numbers.
In option$A$: is not the correct answer, because $9231 and 9762$ are not divisible by 531.
In this question only option B is the correct answer, because 9027 and 9558 are divisible by 531.
$\left[
  9027 \div 531 = 17 \\
  and\,\,9558 \div 531 = 18 \\
  \right]$
In option C: is not the correct answer, because $9037 and 9568$ are not divisible by 531.
In option $D$: is not the correct answer, because $9127and 9658$ are not divisible by 531.
Hence, the correct option is B


Note: Students must know that, if more than two options are multiple of given H.C.F, then to find the greatest pair of numbers, consider the greatest pair.