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The average of 11 results is 50. If the average of the first six results is 49 and that of the last six is 52, the sixth number is –

A. 48 B. 50 C. 52 D. 56 Answer: Option D
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Solution(By Apex Team)

$\begin{array}{l}\text{Mean of 11 results =50}\\ \text{⇒ Sum of these 11 results =550}\\ \text{Sum of first six results }\\ =49\times6=294\\ \text{Sum of last six results }\\ =52\times6=312\\ \end{array}$ ∴ Sixth result = Sum of first six results + Sum of last six results − Sum of all 1 results $=294+312-550=56$

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