Cross off impossible pairs

Use exclusions and shared clues to connect people with their items.

One person, one of each

teajuicecocoaAna??Ben???Cal???
A cross means ruled out. A question mark means not yet marked.

In Logic grids, three people each have one item from each of two categories. No item is shared. Here, Ana, Ben and Cal each have a different drink and a different pet.

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A clue that says Ana did not drink tea rules out that pair. It does not tell you whether she drank juice or cocoa.

Use a small grid on paper or with Pencil. Cross out an impossible pair. When only one drink remains for someone, that drink cannot belong to either of the other people.

Lesson help

Eliminate impossible pairs, then carry a confirmed match through the linked clues.

About this lesson

Try the method in a practice when you are ready.

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One person, one of each

In Logic grids, three people each have one item from each of two categories. No item is shared. Here, Ana, Ben and Cal each have a different drink and a different pet.

A clue that says Ana did not drink tea rules out that pair. It does not tell you whether she drank juice or cocoa.

Use a small grid on paper or with Pencil. Cross out an impossible pair. When only one drink remains for someone, that drink cannot belong to either of the other people.

teajuicecocoaAna??Ben???Cal???
A cross means ruled out. A question mark means not yet marked.

Carry a match into the other category

Use tea, juice and cocoa once each, and cat, parrot and tortoise once each.

  • Ana did not drink the tea.
  • Ana did not drink the juice.
  • Ben did not drink the juice.
  • The one who drank the tea keeps the cat.
  • The one who drank the juice keeps the parrot.

Ana cannot have tea or juice, so she has cocoa. Ben cannot have juice or Ana's cocoa, so he has tea. Cal has the remaining drink, juice.

Now use the linked clues: Ben has the cat, Cal has the parrot, and Ana has the remaining pet, the tortoise.

teajuicecocoaAna?Ben??Cal???
Start with the crossed-out drinks, then connect each drink to its pet.

Use the same method on new clues

This is a new arrangement. Again, each person has a different drink (tea, juice or cocoa) and a different pet (cat, parrot or tortoise).

  • Ana did not drink the cocoa.
  • Ana did not drink the tea.
  • Cal did not drink the tea.
  • The one who drank the cocoa keeps the cat.
  • The one who drank the tea keeps the parrot.

Find the drinks first. Then follow the clue that connects a drink with the cat.

teajuicecocoaAna?Ben???Cal??
Only the stated drink exclusions are marked. Complete the links yourself.

Try it

Who keeps the cat?

  1. Ana
  2. Cal
Show the answer

Cal

Cal has cocoa: Ana must have juice, and Cal cannot have tea. The clue links cocoa with the cat, so Cal keeps the cat. Ben has tea and the parrot.

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