| Directions: In the following, questions two equations numbered I and II and given. You have to solve both the equations an give answer. |
| I. \[{{(x+y)}^{2}}=784\] |
| II. \[92551=92567-y\] |
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: C
Solution :
| I. \[{{(x+y)}^{2}}=784\] |
| \[\Rightarrow \] \[x+y=\sqrt{784}=28\] |
| \[\Rightarrow \] \[x+16=28\]\[\Rightarrow \]\[x=12\] |
| II. \[92551=92567-y\] |
| \[\Rightarrow \] \[y=92551-92551\Rightarrow y=16\] |
| \[\therefore \] \[x<y\] |
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