Miscellaneous Question 63

In the given questions, two quantities are given. One as Quantity-I and another is Quantity-II. You have to determine relationship between these two quantities and choose the appropriate options as given below :

(1) Quantity-I $>$ Quantity-II

(2) Quantity-I $<$ Quantity-II

(3) Quantity-I $\leq$ Quantity-II

(4) Quantity-I $\geq$ Quantity-II

(5) Quantity-I = Quantity-II (or) relationship cannot be established

(Canara Bank PO Exam, 23.12.2018)

  1. In village $A, 20 \%$ of the total population had gone to a formal school at some point of their lifetime. Out of the remaining, $75 \%$ have never gone to any school and the remaining 80 were home schooled.

Quantities :

I. Total population of village A

II. Total population of village B, where $60 \%$ are males and the remaining 160 are females.

Show Answer

Correct Answer: 63. (5)

Solution: 63. (5) Quantity I: Let, total population of village $\mathrm{A}=x$

People who went to formal school $=\frac{x}{5}$

People who never went school $=\frac{4 x}{5} \times \frac{75}{100}=\frac{3 x}{5}$

Remaining population

$=\frac{4 x}{5}-\frac{3 x}{5}=\frac{x}{5}$

$\therefore \frac{x}{5}=80 \Rightarrow x=400$ Quantity I

Quantity II :

Population of village $B=y$

$\therefore \frac{40 y}{100}=160$

$\Rightarrow y=\frac{160 \times 100}{40}=400$

Clearly, Quantity I = Quantity II