Question

What are the values of A and B if 72A1501B is divisible by 11 but not by 2?​

Answer 1

Answer:

Step-by-step explanation:

Divisibility For 2: Last Number should be an even number.

This reduces B to only odd nos. i.e 1,3,5,7.

Divisibility For 11:Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number.

Now considering these

Summation of odd places of number turns out to be 7+A+5+1=13+A.

Summation of even places of number turns out to be 2+1+0+B=3+B.

Difference of Summations=(13+A)-(3+B)=10+(A-B).

10+(A-B)=11 or 22 or 33…

(A-B)=1 or 12 or 23…

Now (A-B)=1 or 12 or 23…

Since we are considering A and B as single digit only the only value possible of ...(more)