- 26
- 38
- 29
- 33
Answer (Detailed Solution Below)
Option 4 : 33
Free
10 Questions 10 Marks 7 Mins
संख्याएँ x, (x +1), (x + 2), (x + 3), …(x + 8) है
इन 9 संख्याओं का औसत = 37
\(\begin{array}{l} \therefore \;\frac{{x + \left( {x + 1} \right) + \left( {x + 2} \right) + \left( {x + 3} \right) + \ldots + \left( {x + 8} \right)}}{9} = 37\\ \Rightarrow x + \left( {x + 1} \right) + \left( {x + 2} \right) + \left( {x + 3} \right) + \ldots + \left( {x + 8} \right) = 333\\ \Rightarrow 9x + \left( {1 + 2 + 3 + \ldots + 8} \right) = 333 \end{array}\)
∵ 1 + 2 + 3+ …+ n = n(n + 1)/2
\(\Rightarrow 9x + \frac{{8\left( {8 + 1} \right)}}{2} = 333\)
⇒ 9x + 4 × 9 = 333
⇒ 9x = 297
⇒ x = 33
इस प्रकार, सही उत्तर विकल्प 4 है।
Last updated on Sep 21, 2022
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