Let [x] be the greatest integer less than or equals to x. Then, at which of the following point(s) the function f(x)=x ( (x+[x])) is discontinuous?

JEE Advanced 2017 Mathematics question

Let be the greatest integer less than or equals to . Then, at which of the following point(s) the function is discontinuous?

(A)Correct
(B)
(C)Correct
(D)Correct

Answer: (A),(C),(D)

Solution

Official scoring status: BONUS / +4 TO ALL (printing inconsistency in the question). Intended/calculated answer from the printed function: (A), (C), (D), worked out as follows. For : . At an integer :

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Question ID VK-026630