If a six-digit number 3 x 7 z 8 y is divisible by 7, 11, 13, then the average…
2020
If a six-digit number 3 x 7 z 8 y is divisible by 7, 11, 13, then the average value of x, y, z is:
- A.
6
- B.
8
- C.
7
- D.
9
Attempted by 13 students.
Show answer & explanation
Correct answer: A
A number divisible by 7, 11, and 13 is divisible by 7 x 11 x 13 = 1001.
The six-digit number 3x7z8y that fits this condition is 387387.
Thus x = 8, z = 3, and y = 7. Their average is (8 + 3 + 7)/3 = 6.