# IMAT 2012 Q31 [Longest Rivers]

There are four rivers in Bolandia, each claiming to be the longest. Tourist board brochures in the regions containing the rivers, make the following statements:

1. The Dile is shorter than the Cubba.
2. The Bongo is shorter than the Esun.
3. The Esun is longer than the Cubba.

If all of the above are correct, which one of the following statements is definitely true?

A. The Bongo is longer than the Cubba.
B. The Esun is longer than the Dile.
C. The Dile is longer than the Esun.
D. The Cubba is longer than the Bongo.
E. The Dile is shorter than the Bongo.

Simple steps to solve word problems:

• Underline key information
• Determine what they are trying to ask, and what you will need to solve it
Eliminate any non-essential information
• Draw a picture, graph, or equation
In moments of high stress like exam taking, always work with the paper they give you to avoid careless mistakes.
• Solve.

For this problem, all we have to do is make arrange the rivers in order based off the information given and then test it against the answers.

Givens:

(1) Dile < Cubba

(2) Bongo < Esun

(3) Esun > Cubba

From this we can arrange them as such:

Esun > Cubba > Dile/Bongo

OR

Esun > Cubba/Bongo > Dile

We know that the Esun is larger than the rest, and the Cubba is larger than the Dile, but we do not have relationships between the Bongo with the Dile or Cubba. Therefore there is 2 main options.

Now to get into the answers:

A The Bongo is longer than the Cubba.

False. We are told the Bongo is shorter than the Esun (2) and the Esun is larger than the Cuban (3). Therefore the Bongo cannot be longer than the Cubba.

B The Esun is longer than the Dile.

True. We know that the Esun is larger than the Cubba (3), which is longer than the Dile (1).

C The Dile is longer than the Esun.

This is false, it is the opposite that is true, see answer B.

D The Cubba is longer than the Bongo.

False, there is no relationship given between the Cubba and the Bongo, so we cannot conclude whether one is larger than another.

E The Dile is shorter than the Bongo.

False, there is no relationship given between the Dile and the Bongo, so we cannot conclude whether one is larger than another.