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Question : If the number 476xy0 is divisible by both 3 and 11, then in the hundredth and tenth places, the non-zero digits are, respectively:

Option 1: 2 and 3

Option 2: 3 and 2

Option 3: 5 and 8

Option 4: 8 and 5


Team Careers360 11th Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: 8 and 5


Solution : Let the given number be 476xy0.
Then (4 + 7 + 6 + x + y + 0) = (17 + x + y) must be divisible by 3.
And, (0 + x + 7) − (y + 6 + 4) = (x − y − 3) must be either 0 or 11.
From these conditions, we get x = 8 and y = 5.
Hence, the correct answer is 8 and 5.

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