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Question
If 213 × 27 is divisible by 9, then the value of x is 0.
Options
True
False
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Solution
This statement is False.
Explanation:
Given, 213 × 27 is divisible by 9, so sum of its digits is also divisible by 9.
i.e. 2 + 1 + 3 + x + 2 + 7 = 0, 9, 18, 27, 36,...
⇒ x + 15 = 0, 9, 18, 27, 36,...
⇒ x + 15 = 18 ...[x is a digit of a number]
⇒ x = 3
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