Quantitative Aptitude Ques 18

Question: The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean source of 31. The mean score of remaining 55% is

Options:

A) 45%

B) 50%

C) 51.4% (approx)

D) 54.6% (approx)

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let mean score of remaining 55% = x $ 52=\frac{20\times 80+25\times 31+55\times x}{100} $

$ \Rightarrow $ $ 5200=1600+775+55x $

$ \Rightarrow $ $ 55x=5200-1600-775=2825 $

$ \therefore $ $ x=\frac{2825}{25}=51.36,\text{(approx)} $