50 Inductive And Deductive Reasoning Worksheet - Free Printable

Let's solve this logic puzzle step by step using the clues provided.

We have four students: Art, Brad, Cindy, and Della.
Each went to one of four activities:
- Baseball practice
- Cheerleader tryouts
- Math club meeting
- Play rehearsal

Each student went to a different activity (implied since there are 4 students and 4 activities).

We'll use the clues to deduce who went where.

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Clue 1: Cindy did not go to baseball practice.

So, Cindy ≠ baseball practice.

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Clue 2: Brad wanted to go to the cheerleader tryouts but decided to go to a different activity instead.

So, Brad did not go to cheerleader tryouts.
He wanted to go, but chose something else.

So, Brad ≠ cheerleader tryouts.

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Clue 3: The girl who went to the math club meeting told the club president that the meetings should not be held on the same day as so many other activities.

This tells us that the person who went to math club is a girl.

So, math club meeting → female.

Who are the girls? The names: Art, Brad, Cindy, Della.

Typical gender assumptions:
- Art → could be male or female, but often male
- Brad → male
- Cindy → female
- Della → female

So likely, Cindy and Della are the girls.

Therefore, the math club meeting was attended by either Cindy or Della.

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Clue 4: The person who went to baseball practice was upset because she couldn't attend the play rehearsal.

Key word: "she" — so the person who went to baseball practice is a girl.

So, baseball practice → female.

So, only Cindy or Della could have gone to baseball practice.

But from Clue 1, Cindy did not go to baseball practice.

So, Cindy ≠ baseball practice

Therefore, since only females can go to baseball practice (from clue 4), and Cindy didn't, then Della must have gone to baseball practice.

Let’s write that down:

→ Della → baseball practice

Now, from clue 4: the person at baseball practice was upset because she couldn’t attend play rehearsal. So, Della wanted to go to play rehearsal but couldn’t.

So, Della didn’t go to play rehearsal (obviously), and her intended choice might have been play rehearsal, but we don’t know for sure.

But now we know:

- Della → baseball practice

From clue 1: Cindy ≠ baseball practice → already satisfied.

From clue 2: Brad ≠ cheerleader tryouts

From clue 3: math club → girl → Cindy or Della

But Della is already doing baseball practice → so Della ≠ math club

Therefore, Cindy must be the one who went to math club meeting

So:

→ Cindy → math club meeting

Now we have:

- Della → baseball practice
- Cindy → math club meeting

Remaining activities: cheerleader tryouts, play rehearsal
Remaining students: Art, Brad

Brad ≠ cheerleader tryouts (clue 2)

So Brad cannot go to cheerleader tryouts → must go to play rehearsal

Then Art must go to cheerleader tryouts

Let’s verify all clues.

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Final assignments:

| Student | Activity |
|--------|---------------------|
| Art | Cheerleader tryouts |
| Brad | Play rehearsal |
| Cindy | Math club meeting |
| Della | Baseball practice |

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Check each clue:

1. Cindy did not go to baseball practice → She went to math club → ✔

2. Brad wanted to go to cheerleader tryouts but went to a different activity instead → He went to play rehearsal → so he didn’t go to cheerleader tryouts → ✔

3. The girl who went to math club meeting... → Cindy is a girl → ✔

4. The person who went to baseball practice was upset because she couldn't attend the play rehearsal → Della is a girl → went to baseball → couldn't go to play rehearsal → so she must have wanted to → plausible → ✔

All clues satisfied.

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Fill in the table:

| | baseball practice | cheerleader tryouts | math club meeting | play rehearsal |
|----------------|-------------------|----------------------|--------------------|----------------|
| Art | | ✔ | | |
| Brad | | | | ✔ |
| Cindy | | | ✔ | |
| Della | ✔ | | | |

✔ All boxes filled correctly.

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Final Answer:

- Art → Cheerleader tryouts
- Brad → Play rehearsal
- Cindy → Math club meeting
- Della → Baseball practice