SSC CHSL 12 Aug 2021 Shift 3 Paper

Section: Quantitative Aptitude

Question : 69 of 99

Marks: +1, -0

If the nine-digit number '

8475639 {\AB}^{\;\text "' "\;}

is divisible by 99 , then what is the value of

A

and

B

Solution:

Z Given, number

8475639 {AB}

is divisible by 99 , then it also divisible by 9 and

11 .

A number is divisible by 9 , if the sum of the digit of that number is divisible by

9 .

Now,

8+4 +7+5+6+3+9+A+B

\;\; =42+A+B

Here, the possible value of

A+B=3

and 12
Now, a number is divisible by 11 if the difference of the sum of the even and odd places digits is equal to zero or the multiple of 11 .

\;\text " Then, "\;(8+7+6+9+B)

\;\; -(4+5+3+A)

= \;\; 30+B-12-A

= \;\; 18+B-A

Here, the possible value of

B-A=4

So, the value of

A+B

is can not be equal to 3 .
Hence,

A=4, B=8

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