If the 5-digit number 457xy is divisible by 3, 7, and 11, then what is the value of (2x + 5y)?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 46.
LCM of 3, 7, 11 = 231
45700 ≤ 457xy ≤ 45799 divisible by 231
45700 ÷ 231 ≈ 197.83...
198 × 231 = 45738
199 × 231 = 45969 (Not possible)
Only possible number = 45738 where x = 3 and y = 8
Sum of digits: 4 + 5 + 7 + 3 + 8 = 27 (divisible by 3)
(2x + 5y) = 2(3) + 5(8) = 6 + 40 = 46