If the seven - digit number 49x29y6 is divisible by 72, then what will be the value of (x + 2y) for the largest value of x and y?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 22.
Using Divisibility rule of 8, we get-
∴ 9y6 is completely divisible by 8 if y is 7. (∴ y = 7)
Similarly using divisibility rule of 9, we get-
⇒ 4 + 9 + x + 2 + 9 + 7 + 6 = 37 + x
⇒ The number is perfectly divisible if x = 8 (∴ x = 8)
∴ value of x + 2y = 8 + 2 × 7 = 8 + 14 = 22
The value of x + 2y is 22.