Miscellaneous Question 65

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. The side of a square garden (A) is equal to that of the breadth of a rectangular garden (B). The respecetive ratio between the length and the breadth of garden $B$ is $5: 4$. The cost of fencing of garden $A$ is Rs. 30 less than the cost of fencing of garden B. (both at the rate of Rs. 5 per metre)

Quantities :

I. The length of the garden B.

II. 20 metre

Show Answer

Correct Answer: 65. (2)

Solution: 65. (2) Length of rectangular garden $=5 x$ metre

Breadth $=4 x$ metre

$\therefore$ Side of square garden

$=4 x$ metre

According to the question,

$2(5 x+4 x) \times 5-4 \times 4 x \times 5=30$

$\Rightarrow 90 x-80 x=30$

$\Rightarrow 10 x=30 \Rightarrow x=3$

Quantity I : Lenght of garden B $=5 \times 3=15$ metre

$\therefore$ Quantity I $<$ Quantity II