Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Mathematics Relations and Functions Special Functions
Which of these statements about the floor and ceiling functions are correct?
Statement I : \(\left\lfloor {2x} \right\rfloor = \left\lfloor x \right\rfloor + \left\lfloor {x + (1/2)} \right\rfloor \) for all real number x
Statement II : \(\left\lceil {x + y} \right\rceil = \left\lceil x \right\rceil + \left\lceil y \right\rceil \) for all real numbers x and y
1
Both Statement I and Statement II are true
2
Both Statement I and Statement II are false
3
Statement I is true but Statement II is false
4
Statement I is false but Statement II is true