A) 28
B) 31
C) 43
D) 37
Correct Answer: B
Solution :
\[36\times 9={{x}_{1}}+{{x}_{2}}+{{x}_{3}}+....+{{x}_{9}}\] ?.(i) \[5\times 32={{x}_{1}}+{{x}_{2}}+{{x}_{3}}+{{x}_{4}}+{{x}_{5}}\] ?.(ii) \[5\times 39={{x}_{5}}+{{x}_{6}}+{{x}_{7}}+{{x}_{8}}+{{x}_{9}}\] ,...(iii) Adding (ii) and (iii), we get \[355={{x}_{1}}+{{x}_{2}}+{{x}_{3}}+{{x}_{4}}+{{x}_{5}}+......+{{x}_{9}}+{{x}_{5}}\] Using (i), we get \[355-36\times 9={{x}_{5}}\Rightarrow {{x}_{5}}=31\]
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