1 से 37 के बीच सम संख्याओं का योगफल क्या होगा?

  1. 171
  2. 342
  3. 129
  4. 428

Answer (Detailed Solution Below)

Option 2 : 342
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⇒ अभीष्ट योगफल = 2 + 4 + 6 + 8 + ……. + 36

⇒ अभीष्ट योगफल = 2(1 + 2 + 3 + …… + 18)

हम जानते हैं,

प्रथम n प्राकृतिक संख्याओं का योगफल = n(n + 1)/2

⇒ अभीष्ट योगफल = 2 × n × (n + 1)/2      (जहाँ n = 18)

⇒ अभीष्ट योगफल = 18 × 19 = 342
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