| Directions: In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer. |
| I. \[{{x}^{2}}-227=398\] |
| II. \[{{y}^{2}}+321=346\] |
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
Correct Answer: E
Solution :
| I. \[{{x}^{4}}-227=398\] |
| \[\Rightarrow \] \[{{x}^{4}}=398+227\] |
| \[\Rightarrow \] \[{{x}^{4}}=625\] |
| \[\Rightarrow \] \[x=5,\]\[-\,\,5\] |
| II. \[{{y}^{2}}+321=346\] |
| \[\Rightarrow \] \[{{y}^{2}}=346-321\] |
| \[\Rightarrow \] \[{{y}^{2}}=25\] |
| \[\Rightarrow \] \[y=+\,\,5,\]\[-\,\,5\] |
| \[\therefore \] \[x=y\] |
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