Question

- Find A and B if the number
A8563145B is divisible by 88?
a. 2,6 b. 3,6
c. 4,6 d. 2,4​

Answer 1

Answer:

A=2

B=4

is it right it can divide by 88

Answer 2

If A and B are replaced by option a) 2, 6 then A8563145B is divisible by 88.

Step by Step Explanation

Given number is A8563145B

If it should be divisible by 88 then it must be divisble by 11 and 8.

As per the divisbility rule for 8 the last 3 digits must be divisible by 8, so here the last 3 digits are 45B.

Now we can check that as,

If B is 4 then

$\frac{454}{8} \\=56.75$

If B is 6 then

$\frac{456}{8} \\=57$

As per the divisbility rule for 11 the difference between sum of the odd numbers and even numbers must be divisible by 11.

$A+5+3+4+B= 8+6+1+5$

If B is taken as 6 then,

$A+5+3+4+6= 8+6+1+5\\\\18+A= 20\\A = 20 - 18 \\A = 2$

So A was found as 2.

Thus the correct option is a) 2,6.