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## Comment on

Rugby Players & Chess Players## I am confused with this

Thank you in advance.

## In the first sentence, we're

In the first sentence, we're told that 40% of the ENTIRE school population plays rugby and chess. Since we're saying the ENTIRE school population is 100, we need only calculate 40% of 100.

The second sentence tells us that 40% of the PEOPLE WHO PLAY RUGBY do not play chess. Since we don't know the number of PEOPLE WHO PLAY RUGBY, we cannot make the same sort of quick calculation as we did with the first sentence. Instead, we first let x = the number of PEOPLE WHO PLAY RUGBY. So, if 40% of the PEOPLE WHO PLAY RUGBY (i.e., x) do not play chess, then we know that 0.4x = the number of rugby players who do not play chess.

Does that help?

## Yes, it does. Thank you so

## Could you tell me please. I

Why do you assume that 40% of x is just the number of students who play rugby and not play Chess.

## There's an important

There's an important difference in wording.

If I say, "20% of the employees are female AND over 30 years old," then we know that 20% of ALL employees are 30+ year-old females. So, for example, if there are 200 employees, then exactly 40 of them are 30+ year-old females.

If I say, "20% of the female employees are over 30 years old," then we know that 20% of THE FEMALE employees are 30+ years-old. So, for example, if there are 500 employees, and 300 of those employees are female, then we know that there are 60 female employees (since 20% of 300 =60).

The same concept applies to the question in the video.

## Thank so much for all the

## A brilliant question!

## Thanks for that!

Thanks for that!

## Since the Double Matrix

## But the Double Matrix method

But the Double Matrix method IS discussed in an earlier lesson (video #20 to be precise).

That said, it's fine to use a Venn diagram to solve overlapping sets questions. However, as I mention in the Double Matrix lesson, Venn diagrams can be less effective when dealing with harder questions.

## Approximately what level of a

## Whenever it's necessary to

Whenever it's necessary to use variables with a Double Matrix question, the question is typically in the 700+ range.

## https://gmatclub.com/forum

sir i dont understand bunuel logic of atmost

please explain

## Here's my full solution:

Here's my full solution: https://gmatclub.com/forum/m07-183752-100.html#p2219914

Cheers,

Brent

## The questions have a green,

## If you hover your cursor over

If you hover your cursor over each colored tag, you'll see that:

GREEN = 350-500 level of difficulty

ORANGE = 510-650 level of difficulty

RED = 660-800 level of difficulty

Cheers, Brent