# Which one of the following could be an accurate matching of the types of bonds to the corporations that offer them?

Kanyinsola on July 3, 2019

Would appreciate a video on how this game was set up

I actually care more about learning how the deduction for who could appear where is made. I translated this to an in and out game to make it easier to comprehend but I know that I am missing a key deduction on the two that can be in and the two that can be out

Replies

Ravi on July 21, 2019

@Kanyin,

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Monday-Friday 9am-6pm PT. They can let the curriculum team know about

In the meantime, I'm happy to write out a written explanation for this
question.

How're you structuring your in/out gameboard for this game? I didn't
use a traditional in/out board. Here's what I think works easiest:

G H L R S V
_ _ _ _ _ _ 5
_ _ _ _ _ _ 10

We have 6 columns (1 for each company) and 2 rows (one for 5-year
bonds and one for 10-year bonds).

Remember that since 4 companies offer each of the bonds, there will be
2 blank slots in each row.

We know that 2 companies offer both 5 and 10-year bonds.

Rule 1 says H and L don't offer the same bonds as each other

1) H - >/L

This is important because we know each company offers at least 1 bond.
This rule then means that our board will either have H5 and L10 or L5
and H10.

We know L and H can't be together, and looking at the answers, (C) has
L and H together both offering 10-year bonds, so (C) is out.

Rule 2 says that if V offers 5-year bonds, then S offers both types of bonds

2) V5 - >S5 and S10

In looking at (E), we see that V is offering 5-year bonds, but S is
not offering both 5 and 10-year bonds (it's only offering 10-year
bonds), so (E) is out.

Rule 3 says that if L offers 10-year bonds, then R also offers 10-year bonds

3) L10 - >R10

This rule also links with part of rule 1 (where if H is with 5, L is
with 10). We now know that if H is with 5, L is with 10 and R is with
10.

H5 - >L10 - >R10

Looking at (A), H is in 5, L is in 10, but R isn't in 10, so (A) is out.

We still have two choices left, but recall that in the original
paragraph, we're told that two companies offer both 5 and 10-year
bonds.

Looking at (B), it has four companies offering both 5 and 10-year
bonds. This is wrong because only 2 can offer both types of bonds and
also because R and L aren't offering any bonds in this scenario, and
we know each company has to offer at least one bond. Thus, we can get
rid of (B).

For this question, the best way to find the right answer is to
eliminate all of the choices that must be incorrect because they're
breaking one or more rules, which is what we've done above.

By process of elimination, we're left with (D), which is the correct