Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-1

Directions: In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer.

I. \[{{x}^{2}}-72=x\] II. \[{{y}^{2}}=64\]

A) If\[x>y\]

B) If \[x\ge y\]

C) If\[x<y\]

D) \[x\le y\]

E) If \[x=y\]or the relationship cannot be established

Correct Answer: B

Solution :

[b]\[{{x}^{2}}-72=x\]

\[\Rightarrow \] \[{{x}^{2}}-x-72=0\]

\[\Rightarrow \] \[{{x}^{2}}-9x+8x-72=0\]

\[\Rightarrow \] \[x\,(x-9)+8\,(x-9)=0\]

\[\Rightarrow \] \[(x-9)\,(x+8)=0\]

\[\Rightarrow \] \[x=9,\]\[-\,8\]

II. \[{{y}^{2}}=64\]

\[\Rightarrow \]\[y=\sqrt{64}=\pm \,8\]

\[\therefore \]\[x\ge y\]