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Arithmetic Reasoning - Verbal and Reasoning

Q1:

A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number ?

A 47

B 65

C 83

D 92

ANS:A - 47

Let the ten's digit be x. Then, unit's digit = (11 - x).So, number = 10x + (11 - x) = 9x + 11.Therefore (9x + 11) + 27 = 10 (11 - x) + x 9x + 38 = 110 - 9x 18x = 72 x = 4.Thus, ten's digit = 4 and unit's digit = 7.Hence, required number = 47.