Consider the Question and two Statements given below: Question: Is x an integer? Statement-1: x/3 is not an…
Consider the Question and two Statements given below:
Question: Is x an integer?
Statement-1: x/3 is not an integer.
Statement-2: 3x is an integer.
Which one of the following is correct in respect of the Question and the Statements?
Statement-1 alone is sufficient to answer the Question
Statement-2 alone is sufficient to answer the Question
Both Statement-1 and Statement-2 are sufficient to answer the Question
Both Statement-1 and Statement-2 are not sufficient to answer the Question
Solution
Statement 1 alone: x/3 not an integer is satisfied by x = 2 (integer) and x = 2.5 (non-integer), so not sufficient. Statement 2 alone: 3x integer is satisfied by x = 2 and x = 2/3, so not sufficient. Combining: x = 2 satisfies both (3x = 6 integer, x/3 not integer) and x = 2/3 satisfies both (3x = 2 integer, x/3 = 2/9 not integer). So even together they are not sufficient.