Subject :IMO Class : Class 6
If 61 * 82 is divisible by 11, then the least value of * is _______.
A0
B1
C2
D4
???
Ans 1:
Class : Class 4
THE ANSWER IS (B) AS
GIVEN IN THE QUESTION IS 61*82 IS DIVISIBLE BY 11
AS WE KNOW THAT WHEN THE DIFFERENCE BETWEEN THE SUM OF DIGITS IN EVEN AND ODD PLACES IS 0 OR A MULTIPLE OF 11
SO THE MINIMUM VALUE OF * SHOULD BE 1 AS
6 + 1 + 2 = 9 AND 1 + 8 = 9 AND
9 - 9 = 0
HENCE ,IT IS DIVISIBLE BY 11