There are 3 groups of students, each containing 25, 50 and 25 students respectively. The mean marks obtained by the first two groups are 60 and 55. The combined mean of all the three groups is 58. What is the mean of the marks scored by the third group ?

A. 52

B. 57

C. 58

D. 62

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Solution(By Apex Team)

Let the mean marks of the third group be x. Then, $\begin{array}{l}\Rightarrow\Large\frac{25\times60+50\times55+25\times x}{25+50+25}=\small58\\ \Rightarrow1500+2750+25x=5800\\ \Rightarrow25x=1550\\ \Rightarrow x=62\end{array}$

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