Miscellaneous Question 92

In each question, there are two different statements given as Quantity 1 and Quantity 2 . You have to consider the statements individually and choose your answer as per the given conditions.

Give answer (1) if Quantity $1>$ Quantity 2

Give answer (2) if Quantity $1<$ Quantity 2

Give answer (3) if Quantity $1 \geq$ Quantity 2

Give answer (4) if Quantity $1 \leq$ Quantity 2

Give answer (5) if Quantity $1=$ Quantity 2 or relationship cannot be established

(IBPS RRBs Officer Scale-I CWE Main Exam, 13.10.2019)

  1. Consider the following equations

Quantity 1 : Values of $x$ :

$2 x^{2}-7 x+3=0$

Quantity 2 : Values of $y$ :

$4 y^{2}-8 y+3=0$

Show Answer

Correct Answer: 92. (3)

Solution: 92. (3) Quantity - 1 :

$2 x^{2}-6 x-x+3=0$

$\Rightarrow 2 x(x-3)-1(x-3)=0$

$\Rightarrow(2 x-1)(x-3)=0$

$\Rightarrow x=\frac{1}{2}$ or $3=0.5$ or 3

Quantity - 2 :

$\Rightarrow 4 y^{2}-2 y-6 y+3=0$

$\Rightarrow 2 y(2 y-1)-3(2 y-1)=0$

$\Rightarrow(2 y-3)(2 y-1)=0$

$\Rightarrow y=\frac{3}{2}$ or, $\frac{1}{2}$

$\Rightarrow y=1.5$ or, 0.5