Quantitative Aptitude Ques 1959

Question: The average height of 16 students in a class is 142 cm. If the height of the teacher is added the average increases by 1 cm, then what is the height of the teacher?

Options:

A) 143 cm

B) 159 cm

C) 144 cm

D) 160 cm

Show Answer

Answer:

Correct Answer: B

Solution:

  • Given, average height of 16 students = 142 cm Let height of teacher be $ xcm. $ Then, $ \frac{16\times 142+x}{17}=142+1 $

$ \Rightarrow $ $ \frac{2272+x}{17}=143 $

$ \Rightarrow $ $ x=143\times 17-2272 $

$ \Rightarrow $ $ x=2431-2272 $

$ \Rightarrow $ $ x=159cm $