SATHEE: Quantitative Aptitude Ques 2091

Quantitative Aptitude Ques 2091

Question: Directions: In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer. [IBPS (RRB) Grade A 2012]

I. $ 821x^{2}-757x^{2}=256 $ II. $ \sqrt{196}y^{3}-12y^{3}=16 $

Options:

A) If $ x>y $

B) If $ x\ge y $

C) If $ x<y $

D) If $ x\le y $

E) If $ x=y $ or the relationship cannot be established

Show Answer

Answer:

Correct Answer: D

Solution:

I. $ 821x^{2}-757x^{2}=256 $

$ \Rightarrow $ $ 64x^{2}=256 $

$ \Rightarrow $ $ x^{2}=\frac{256}{64}=4 $

$ \therefore $ $ x=\pm 2 $ II. $ \sqrt{196}y^{3}-12y^{3}=16 $

$ \Rightarrow $ $ 14y^{3}-12y^{3}=16 $

$ \Rightarrow $ $ 2y^{3}=16 $
$ \Rightarrow $ $ y^{3}=8 $

$ \therefore $ $ y=2 $ Hence, $ x\le y $

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