$3 x 2 divisible by 11 ?$

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Solution

$Sum of the digit in even place = x and sum of the digits in odd place = 3 + 2 = 5 ∴ Difference of the sum of the digits in even places and in odd places = x-5 3 x 2 is a multiple of 11 \Rightarrow x - 5 = 0, 11, 22, . . . . \Rightarrow x = 5, 16, 27, . . . . Since, x is a digit ∴ x = 5$

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