Draw a diagram to keep track of your inferences from the conditions. South Park

Question

Draw a diagram to keep track of your inferences from the conditions.

South Park has three recycle centers: Recycle East, Recycle West, and Recycle North. These centers recycle five kinds of material: glass, yard debris, plastic, aluminum, and kitchen oil.

The following conditions hold:

Any center that recycles kitchen oil also recycles yard debris.

Every kind of material that Recycle West recycles is also recycled at Recycle East.

Only one of the centers recycles plastic, and that center does not recycle glass.

Each center handles at least two, but no more than three materials.

Use deductive elimination to determine conclusively the answer to this question:

Which of the following is the ONLY POSSIBLE list of the kinds of material recycled at each recycling center in South Park?

Select one:

a. Recycle East: glass, plastic, aluminum; Recycle West: glass, aluminum;
Recycle North: yard debris, kitchen oil

b. Recycle East: glass, yard debris, aluminum; Recycle West: glass,
yard debris, aluminum; Recycle North: yard debris, plastic,
kitchen oil

c. Recycle East: yard debris, plastic, kitchen oil; Recycle West:
yard debris, plastic, kitchen oil; Recycle North: glass,
yard debris, aluminum

d. Recycle East: yard debris, plastic, kitchen oil; Recycle West:
yard debris, kitchen oil; Recycle North: glass, aluminum, kitchen oil

e. Recycle East: glass, yard debris, kitchen oil; Recycle West: glass,
yard debris, aluminum; Recycle North: plastic, aluminum

Explanation / Answer

Option B satisfies all conditions.

Recycle East: glass, yard debris, aluminum;

Recycle West: glass, yard debris, aluminum;

Recycle North: yard debris, plastic, kitchen oil.

All materials recycled at east are recycled at west also. This one satisfied.

Plastic is recycled at only one place and it should not recycle glass- satisfied

If any placw recycles kitchen oil they do recycle yard debris also. But remember not vice versa. So here recycle north satisfies this condition.

You can compare other options and none of them satisfies well except B.

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