A two-digit number has 6 in its unit digit. The sum of its digits is one fourth of the number itself. What is the number?

A 36
B 46
C 66
D 76

Correct Answer: 36

Let the tenth place number be X. Then the number is 10X + 6 and sum of the digits is X + 6. So,  X + 6 = (10X + 6)/4 or,  4X + 4×6 = 10X + 6 or,  10X - 4X = 24 - 6 = 18 or,  6X = 18 or,  X = 18/6 = 3 So, the number is 36.
Bissoy MCQ
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