| Directions: In each of the following questions two equations are given. You have to solve them and give answer. [SBI Associate (PO) 2007] |
| I. \[{{p}^{2}}+12p+35=0\] |
| II. \[2{{q}^{2}}+22q+56=0\] |
A) If \[p<q\]
B) If \[p>q\]
C) If\[p\le q\]
D) If \[p\ge q\]
E) If \[p=q\]
Correct Answer: C
Solution :
| I. \[{{p}^{2}}+12p+35=0\] |
| \[\Rightarrow \]\[{{p}^{2}}+7p+5p+35=0\] |
| \[\Rightarrow \]\[p\,\,(p+7)+5\,\,(p+7)=0\] |
| \[\Rightarrow \] \[(p+7)(p+5)=0\] |
| \[\Rightarrow \] \[p=-\,5,\]\[-\,\,7\] |
| II. \[2{{q}^{2}}+22q+56=0\] |
| \[\Rightarrow \] \[{{q}^{2}}+11q+28=0\] |
| \[\Rightarrow \]\[{{q}^{2}}+7q+4q+28=0\] |
| \[\Rightarrow \]\[q\,\,(q+7)+4\,\,(q+7)=0\] |
| \[\Rightarrow \] \[q=-\,4,\]\[-7\] |
| \[\therefore \]\[p\le q\] |
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