Quantitative Techniques Question 1

Question; Direction; Study the table and answer the given questions.

Table depicting Literacy in 5 Villages in 2011 Villages % of literates in total population (males + females) % of literates in male population % of literates in female population A – 72 70 B 61 64 56 C 73.8 75 72 D 60 – 60 E 70 – 70 Note: Few data are missing (indicated by –). You need to calculate the value based on given data, if required, to answer the given questions. Only 40% and 20% of literate females were graduates in villages A and C respectively. If female population of villages A and C were equal, what was the respective ratio of number of non-graduate females (including illiterate females) in villages A and C?

Options:

A) 81: 107

B) 90: 107

C) 90: 121

D) 40: 49

Show Answer

Answer:

Correct Answer; A

Solution:

  • (a) Total runs scored by batsman A = x (let) Strike rate =126 $\therefore $ $\frac{x}{x-74} $ $ 100 =125 $ $\Rightarrow $ $ 125x-9250 =100x $ $\Rightarrow $ $ 25x=9250 $ $\Rightarrow $ $ x=\frac{9250}{25}=370 $ $\therefore $ Required average runs = $\frac{370}{8} $ = 46.25