Quantitative Aptitude Ques 720

Question: The average weight of 15 girls was recorded as 54 kg. If the weight of the teacher was added, the average increased by 2 kg. What was the teacher’s weight?

Options:

A) 75 kg

B) 95 kg

C) 78 kg

D) 86 kg

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ \frac{\sum\limits _{i=1}^{15}{x _{i}}}{15}=54 $
    $ \Rightarrow $ $ \sum\limits _{i=1}^{15}{x _{i}=54\times 15} $ According to the question, $ \sum\limits _{i=1}^{16}{x _{i}=\sum\limits _{i=1}^{15}{x _{i}}+x _{16}=16\times 56} $

$ \Rightarrow $ $ x _{16}=56\times 16-\sum\limits _{i=1}^{15}{x _{i}} $ $ =56\times 16-54\times 15=86kg $

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