यदि f(x) = [x]² - 30[x] + 221 = 0, जहाँ [x] महत्तम पूर्णांक फलन है, तो सभी पूर्णांक हलों का योग क्या है?

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NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. 13
  2. 17
  3. 27
  4. 30

Answer (Detailed Solution Below)

Option 4 : 30
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व्याख्या:

f(x) = [x]² - 30[x] + 221 = 0

⇒ [x] =

[x] =

[x] = 17 , 13

इस प्रकार, f(x) के पूर्णांक हलों का योग 30 है।

∴ विकल्प (d) सही है

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