Miscellaneous Question 91

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 $x$ :

$4 x^{2}+16 x+15=0$

Quantity 2 : Values of $y$ :

$2 y^{2}+15 y+28=0$

Show Answer

Correct Answer: 91. (5)

Solution: 91. (5) Quantity-1 :

$4 x^{2}+10 x+6 x+15=0$

$\Rightarrow 2 x(2 x+5)+3(2 x+5)=0$

$\Rightarrow(2 x+3)(2 x+5)=0$

$\Rightarrow x=\frac{-3}{2}$ or $\frac{-5}{2}=-1.5$ or -2.5

Quantity - 2 :

$2 y^{2}+8 y+7 y+28=0$

$\Rightarrow 2 y(y+4)+7(y+4)=0$

$\Rightarrow(y+4)(2 y+7)=0$

$\Rightarrow y=-4$ or, $-\frac{7}{2}$