If the 6-digit number 479xy9 is divisible by each of 7, 11, 13, then (x - y) is equal to -
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. -3.
Divisible by 7, 11, 13 ⇒ Divisible by 1001 (Since 7 × 11 × 13 = 1001)
Number = 479xy9 = 1001q
479000 ≤ 1001q ≤ 479999
Thus, q = 479 and 1001 × 479 = 479479
So, x = 4, y = 7
x - y = 4 - 7 = -3