यदि 6 क्रमागत सम संख्याओं का औसत 183 है, तो सबसे छोटी संख्या ज्ञात कीजिए।

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UP Police Constable Re-Exam 2024 Official Paper (Held On: 31 Aug, 2024 Shift 1)
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  1. 178
  2. 176
  3. 181
  4. 194

Answer (Detailed Solution Below)

Option 1 : 178
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UP Police Constable हिंदी (मॉक टेस्ट)
20 Qs. 20 Marks 14 Mins

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दिया गया है:

6 क्रमागत सम संख्याओं का औसत = 183

प्रयुक्त सूत्र:

औसत =

गणना:

मान लीजिए कि 6 क्रमागत सम संख्याएँ हैं: x, x+2, x+4, x+6, x+8, x+10

औसत =

⇒ 183 =

⇒ 183 × 6 = 6x + 30

⇒ 1098 = 6x + 30

⇒ 6x = 1098 - 30

⇒ 6x = 1068

⇒ x = 1068 ÷ 6

⇒ x = 178

∴ अभीष्ट सबसे छोटी संख्या 178 है।

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