A) 5928
B) 5616
C) 5538
D) 5772
E) None of these
Correct Answer: D
Solution :
Let the five consecutive even numbers be: \[x,x+2,\text{ }x+4,\text{ }x+6\text{ }and\text{ }x+8\] \[\therefore x+x+2+x+4+x+6+x+8=74\times 5\] \[\Rightarrow 5x+20=370\] \[\Rightarrow 5x=370-20=350\] \[\Rightarrow x=\frac{350}{5}=70\] \[\therefore \,\,A=70,\,\,C=70+4=74\,\,and\,\,E=70+8=78\] \[\therefore \,\,C\times E=74\times 78=5772\] \[\] Average of five consecutive even numbers = 74 \[\therefore \] Third number = 74 and fifth number = 78 \[~\therefore C\times E=74\times 78=5772\]
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