Question

The average production of 1996 and 1997 was exactly equal to the average production of which of the following pairs of years?

• A. 1995 and 1997
• B. 1995 and 2001
• C. 1998 and 1999
• D. 1997 and 2002
• E. None of these

Answer 1

The correct option is B

1995 and 2001

Average production (in 10000 tonnes) of 1996 and 1997 = $\frac{40+60}{2}=50$

We shall find the average production (in 10000 tonnes) for each of the given alternative pairs:

2000 and 2001 =$\frac{50+75}{2}=62.5$

1999 and 2000 =$\frac{65+50}{2}=57.5$

1998 and 1999 =$\frac{45+65}{2}=55$

1997 and 1995 =$\frac{25+60}{2}=42.5$

1995 and 2001 =$\frac{25+75}{2}=50$

The average production of 1996 and 1997 is equal to the average production of 1995 and 2001