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26 May 2017, 04:49
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x represents a certain year and y represents the production amount
I. x=1996, y=2000 / x=1998, y=2500 / x=2002, y=3000
II. x=1996, y=2400 / x=1998, y=2600 / x=2002, y=2800
III. x=1996, y=2000 / x=1998, y=2200 / x=2002, y=2600
Which of the following has the equal increase in production amount per year from 1996 to 1998 and from 1998 to 2002, respectively?
A. I only
B. II only
C. III only
D. I & II
E. II & III
I. x=1996, y=2000 / x=1998, y=2500 / x=2002, y=3000
II. x=1996, y=2400 / x=1998, y=2600 / x=2002, y=2800
III. x=1996, y=2000 / x=1998, y=2200 / x=2002, y=2600
Which of the following has the equal increase in production amount per year from 1996 to 1998 and from 1998 to 2002, respectively?
A. I only
B. II only
C. III only
D. I & II
E. II & III
26 May 2017, 04:50
Kudos
Bookmarks
Official Solution:
x represents a certain year and y represents the production amount
I. x=1996, y=2000 / x=1998, y=2500 / x=2002, y=3000
II. x=1996, y=2400 / x=1998, y=2600 / x=2002, y=2800
III. x=1996, y=2000 / x=1998, y=2200 / x=2002, y=2600
Which of the following has the equal increase in production amount per year from 1996 to 1998 and from 1998 to 2002, respectively?
A. I only
B. II only
C. III only
D. I & II
E. II & III
This question is about the equal increase of production per year from 1996 to 1998 and from 19998 to 2002.
In the case of I,
If you calculate from 1996 to 1998, you get \(\frac{2500-2000}{1998-1996} = \frac{500}{2}\), but
If you calculate from 1998 to 2002, you get \(\frac{3000-2500}{2002-1998} = \frac{500}{4}\).
Since you get \(\frac{500}{2} \ne \frac{500}{4}\), it is not correct.
In the case of II,
If you calculate from 1996 to 1998, you get \(\frac{2600-2400}{1998-1996} = \frac{200}{2}\), but
If calculate from 1998 to 2002, you get \(\frac{2800-2600}{2002-1998} = \frac{200}{4}\).
Since you get \(\frac{200}{2} \ne \frac{200}{4}\), it is not correct.
However, in the case of III,
If you calculate from 1996 to 1998, you get \(\frac{2200-2000}{1998-1996} = \frac{200}{2}\), and
If you calculate from 1998 to 2002, you get \(\frac{2600-2200}{2002-1998} = \frac{400}{4} = \frac{200}{2}\).
Since you get \(\frac{200}{2} = \frac{200}{2}\), this is correct. The answer is C.
Answer: C
x represents a certain year and y represents the production amount
I. x=1996, y=2000 / x=1998, y=2500 / x=2002, y=3000
II. x=1996, y=2400 / x=1998, y=2600 / x=2002, y=2800
III. x=1996, y=2000 / x=1998, y=2200 / x=2002, y=2600
Which of the following has the equal increase in production amount per year from 1996 to 1998 and from 1998 to 2002, respectively?
A. I only
B. II only
C. III only
D. I & II
E. II & III
This question is about the equal increase of production per year from 1996 to 1998 and from 19998 to 2002.
In the case of I,
If you calculate from 1996 to 1998, you get \(\frac{2500-2000}{1998-1996} = \frac{500}{2}\), but
If you calculate from 1998 to 2002, you get \(\frac{3000-2500}{2002-1998} = \frac{500}{4}\).
Since you get \(\frac{500}{2} \ne \frac{500}{4}\), it is not correct.
In the case of II,
If you calculate from 1996 to 1998, you get \(\frac{2600-2400}{1998-1996} = \frac{200}{2}\), but
If calculate from 1998 to 2002, you get \(\frac{2800-2600}{2002-1998} = \frac{200}{4}\).
Since you get \(\frac{200}{2} \ne \frac{200}{4}\), it is not correct.
However, in the case of III,
If you calculate from 1996 to 1998, you get \(\frac{2200-2000}{1998-1996} = \frac{200}{2}\), and
If you calculate from 1998 to 2002, you get \(\frac{2600-2200}{2002-1998} = \frac{400}{4} = \frac{200}{2}\).
Since you get \(\frac{200}{2} = \frac{200}{2}\), this is correct. The answer is C.
Answer: C
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