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MathsMediumMCQ2023 ยท 15 Apr Shift 1

Q63.The total number of three-digit numbers, divisible by 3, which can be formed using the digits 1, 3, 5, 8, if repetition of digits is allowed, is (1) 21 (2) 20 (3) 22 (4) 18

What This Question Tests

This question requires careful case analysis based on the definitions of the modulus function to simplify the equation into standard quadratic forms and then find the number of real roots.

Concepts Tested

Modulus function definitionCase analysisSolving quadratic equationsReal roots

Formulas Used

|x| = x for x >= 0

|x| = -x for x < 0

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