Miscellaneous Question 96

In each question, there are two different statements given as Quantity I and Quantity II. You have to consider the statements individually and mark your answer accordingly as per the given codes.

(1) Quantity I $>$ Quantity II

(2) Quantity I $<$ Quantity II

(3) Quantity I $\geq$ Quantity II

(4) Quantity I $\leq$ Quantity II

(5) Quantity I = Quantity II or relationship cannot be established (IBPS RRBs Officer CWE Prelim Exam, 13.09.2020)

  1. Quantity I : The perimeter of a triangle whose sides are $17 cm$, $13 cm$ and $23 cm$.

Quantity II : The perimeter of a square whose diagonal is $19 \sqrt{2}$ $cm$.

Show Answer

Correct Answer: 96. (2)

Solution: 96. (2) Quantity I :

Perimeter of triangle

$=(17+13+23)$ $ \mathrm{cm}$.

$=53 $ $\mathrm{cm}$.

Quantity II :

Side of square $=\frac{\text { Diagonal }}{\sqrt{2}}$ $=\frac{19 \sqrt{2}}{\sqrt{2}}=19$ $ \mathrm{cm}$

$\therefore$ Perimeter of square

$=4 \times 19=76 $ $\mathrm{cm}$.

Clearly,

quantity I < quantity II.