| Directions: In each of the following questions two equations are given. You have to solve them and give answer. [SBI Associate (PO) 2007] |
| I. \[{{p}^{2}}-7p=-12\] |
| II. \[{{q}^{2}}-3q+2=0\] |
A) If \[p<q\]
B) If \[p>q\]
C) If\[p\le q\]
D) If \[p\ge q\]
E) If \[p=q\]
Correct Answer: B
Solution :
| I.\[{{p}^{2}}-7p+12=0\] |
| \[\Rightarrow \]\[{{p}^{2}}-4p-3p+12=0\] |
| \[\Rightarrow \]\[p\,(p-4)-3\,(p-4)=0\] |
| \[\Rightarrow \]\[(p-3)(p-4)=0\]\[\Rightarrow \]\[p=3,\]\[4\] |
| II. \[{{q}^{2}}-3q+2=0\] |
| \[\Rightarrow \]\[{{q}^{2}}-2q-q+2=0\] |
| \[\Rightarrow \]\[q\,\,(q-2)-1\,\,(q-2)=0\] |
| \[\Rightarrow \]\[(q-2)(q-1)=0\]\[\Rightarrow \]\[q=1,\]\[2\] |
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