Question
Download Solution PDFयदि [p], p से कम या p के बराबर बड़े-से-बड़े पूर्णांक को दर्शाता है, तो \(\left[-\frac{1}{2}\right] +\left[4\frac{2}{5}\right] +[2] \) बराबर है :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है :
[p] एक सबसे बड़ा पूर्णांक है।
प्रयुक्त सूत्र :
यदि x सबसे बड़ा पूर्णांक है तो :
⇒ n < x < n + 1 तब :
⇒ [x] = n
हल :
∵ -1 < (-1 / 4) < 0
इसलिए [\(\frac{-1}{4}\)] = -1
इसी प्रकार :
⇒ 4 < \(\left[4\frac{2}{5}\right] \) < 5
⇒ \(\left[4\frac{2}{5}\right] \) = 4
और [2] = 2
अब अभीष्ट योग\(\left[-\frac{1}{2}\right] +\left[4\frac{2}{5}\right] +[2]\) :-
⇒ -1 + 4 + 2
⇒ 5
अतः, सही उत्तर "5" है।
Last updated on Jun 13, 2025
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