Quantitative Aptitude Ques 1302

Question: The average height of 13 girls in a class is $ 144\frac{8}{13}cm. $ The average height of 11 boys in the class is $ 169\frac{5}{11}cm. $ There are only 24 students in the class. What is the overall average height (in cm) of all the students together in the class? [IBPS (SO) 2014]

Options:

A) $ 156\frac{3}{4} $

B) $ 156 $

C) $ 153 $

D) $ 159 $

E) $ 153\frac{3}{5} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • Here, sum of the total height of 13 girls in the class $ =13\times \frac{1880}{13}=1880cm $ Sum of the total height of 11 boys in the class $ =11\times \frac{1864}{11}=1864cm $

$ \therefore $ Overall average height $ =\frac{1880+1864}{24}=156cm $