What is the sum of the digits of the largest five-digit number which is divisible by 5, 35, 39 and 65?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 33.
The number is divided by 5, 35, 39, and 65 must be a multiple of the LCM of (5, 35, 39, and 65)
LCM of (5, 35, 39, and 65)k = 1365k
Largest 5 digit number = 99999 ÷ 1365 ≈ 73.
At k = 73
1365 × 73 = 99645.
Sum of the digit = 9 + 9 + 6 + 4 + 5 = 33.