Correct Answer: 10

Solution : Given,
Five-digit number 235xy is divisible by 3, 7, and 11
Divisibility rule of 3: The sum of its digit is divisible by 3.
Divisibility rule of 7:  To make a pair of 3 from the unit digits then subtract the leftover pair, The result is divisible by 7.
Divisibility rule of 11: The difference between the sum of an odd place and an even place is zero or multiples of 11. The result is divisible by 11.
235xy
⇒ For 3, $x$ + $y$ = 2, 5, 8, 11
⇒ For 11, (7 + $y$) - (3 + $x$) = 0 or 11
⇒ $y$ = 2 then $x$ = 6, $x$ + $y$ = 8
⇒ For 7, 562 - 023 = 539
it is also divisible by 7
⇒ number = 23562 and $x$ = 6, $y$ = 2
now,
⇒ 3$x$ - 4$y$ = 18 - 8 = 10
Hence, the correct answer is 10.