## Two-Part Analysis Questions

# Two-part quantitative analysis questions in GMAT Integrated Reasoning

Integrated Reasoning Two-Part Analysis questions are presented in the form of two questions that relate to the same information. The questions are followed by five or six answer choices, and the answers to each of the two questions may be the same or different. There are verbal and quantitative two-part analysis questions. Here we'll outline how you could solve a quantitative two-part analysis question.

Look at this example:

*Tasha is taking a business course at South Hill Community College. Her final grade will be calculated using the formulaWeighted Grade = 0.6T + 0.4Pwhere T is her test average, and P is her project average.Select a test average and a project average that will give her a weighted grade between 80% and 85%.*

*A) 48%B) 65%C) 86%D) 93%E) 100%*

If you don’t look at the answer choices provided, you could find many possible answers, such as both averages being 82%. However, you are, of course, restricted by the given answer choices.

What is the first step? Apply POE (Process of Elimination).

There are 25 possible combinations. However, you know from looking at the answer choices that for the weighted average to be between 80% and 85%, one value must be above 85% and one value below 80%. That leaves 12 possible combinations.

Now begin by considering some extreme cases. What conclusion can you draw by trying to use 48% and 100% as the two averages?

The largest possible weighted grade that can be made with 48% is if the project average were 48% and the test average were 100%. In this case, the weighted grade would be:

0.6 x 100% + 0.4 x 48%

= 60% + 12% = 72%

...which is too low.

That means you can eliminate all of the pairs involving 48%, leaving you with six possible pairings.

Let’s try T = 65% and P = 100%

Weighted average would be:

0.6 x 65% + 40%

= 39% + 40% = 79%

...which is still too low!

But we're close. T must be higher. Try T = 86 and P = 65 (48 has already been eliminated). Weighted average would be:

0.6 x 86% + 0.4 x 65%

= 51.6% + 26% = 77.6%

*Almost.* You need something just a bit higher!

T = 93, P = 65.

Weighted average would be:

0.6 x 93% + 26% (using the calculation you have already done)

= 55.8% + 26%**= 81.8%**

This is therefore the correct answer.

In Two-Part Analysis problems, you mark the answers separately in each column. In this problem, if the first column asked for the value of T, you would mark answer D. You would mark answer B in the second column for the value of P. You must mark both answers before you move to the next question. In addition, you only get points for the question if you get both parts correct.