Each question is followed by two statements I and II 1 If the question can be answered by any one of...........

Math and Mental Ability Data Sufficiency

Each question is followed by two statements, I and II.

1.If the question can be answered by any one of the statements alone, but cannot be answered by using the other statement alone.

2.If the question can be answered by using either statement alone.

3.If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.

4.If the question cannot be answered even by using both statements together.

A line graph on a graph sheet shows the revenue for each year from 1990 through 1998 by points and joins the successive points by straight line segments. The point of revenue of 1990 is labeled A, that for 1991 as B and that for 1992 as C. What is the ratio of growth in revenue between 1991- 92 and 1990-91?

I. The angle between AB and X-axis when measured with a protractor is 400, and the angle between CB and X-axis is 800

II.The scale of Y-axis is 1cm = Rs. 100.

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Explanation:

Here’s the thing—let’s break down the statements and options one by one:

- The question: What’s the ratio of the revenue growth between 1991–92 (BC) and 1990–91 (AB)? You need actual revenue changes between years.

- Statement I says the angles that line segments AB and CB make with the X-axis are 40° and 80° respectively. Angles aren’t going to give you actual distances on the graph unless you know the scale—just knowing the angle isn’t enough.

- Statement II gives you the scale on the Y-axis: 1cm = Rs. 100, but without the actual lengths/changes or more info, that alone doesn’t tell you the revenue changes either.

- If you put I and II together, you could *in theory* use the angles to figure out the slope of each line (change in revenue over 1 year), convert that to a length, then use the scale from II to get money change—so together, you can work it out. But alone, neither I nor II does the job.

- So, let’s check the options:

- Option 1: Any one statement alone is enough. (Nope.)

- Option 2: Either one alone is enough. (Definitely not.)

- Option 3: Both together, not either alone. This is the answer!

- Option 4: Not even both together. (No, both together actually work.)