How many two digit numbers of distinct digits can be formed by using digits 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 9?
Options
A) 2
B) 3
C) 4
D) 5
E) 6
CONCEPT: A number will be divisible by 9 if sum of all the digits of the number is divisible by 9   Here the Possible sum of the two distinct digits can be 9 only in order to satisfy the given condition   If sum of Digits = 9, No. = 27, 36, 45, 54, 63, 72 --- 6 Cases   Answer: option 6
<result>E</result>
How many two digit numbers of distinct digits can be formed by using digits 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 9?