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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
Let’s consider the two statements one by one. Statement 1: x/3 is not an integer. x may or may not be an integer. For example, if x = 2, even then x/3 will not be an integer. Statement 2: 3x is an integer. x may or may not be an integer. For example, if x = 2/3, even then 3x will be an integer. On combining the two statements, 3x is an integer, but x/3 is not. x may or may not be an integer. For example, if x = 2, even then x/3 will not be an integer. But 3x = 6 will be an integer. If x = 2/3, even then 3x will be an integer. But x/3 = 2/9 will not be an integer.
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