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Logic puzzle worksheet titled "Picnic in the Park" with clues for deductive reasoning.

A worksheet titled "Picnic in the Park" from "Deductive Thinking Skills" by Mind Benders, featuring a logic puzzle with four married couples and clues to match names to activities.

A worksheet titled "Picnic in the Park" from "Deductive Thinking Skills" by Mind Benders, featuring a logic puzzle with four married couples and clues to match names to activities.

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Show Answer Key & Explanations Step-by-step solution for: Critical Thinking Worksheet Grades 6-8: Deductive Reasoning ...
Let's solve this logic puzzle step by step using deductive reasoning. We are given a set of clues about four married couples who went to a picnic in the park. Each couple has:

- A last name: Creightons, Farmers, Garsons, Ordways
- A husband's first name: Brad, Edward, Homer, Ken
- A wife's first name: Daphne, Lisa, Moira, Norma
- A food item they brought: apple pie, bean salad, iced tea, potato salad
- A mode of transportation: car, motorcycle, bicycles, swimming (implied from clue 5)

We need to match each person with their spouse, food, and mode of transport based on the clues.

---

Step 1: List out all categories



We have 4 couples. Let’s create a grid or table mentally.

#### Categories:
- Last Names: Creightons, Farmers, Garsons, Ordways
- Husbands: Brad, Edward, Homer, Ken
- Wives: Daphne, Lisa, Moira, Norma
- Food: apple pie, bean salad, iced tea, potato salad
- Transport: car, motorcycle, bicycles, swimming

Note: "Swimming" is not a way to get to the picnic — it's an activity done *at* the picnic. So only 3 people went to the picnic via car, motorcycle, or bicycle. The fourth couple must have gone by some other means, but clue 5 says Homer and Mrs. Farmer went swimming — implying they were at the picnic, so likely arrived by one of the three modes.

But clue 5 says: “Homer and Mrs. Farmer went swimming while Mr. Farmer and Edward played horseshoes with Lisa and Daphne.”

So:
- Homer + Mrs. Farmer → swimming
- Mr. Farmer + Edward → horseshoes with Lisa and Daphne

This implies that Homer and Mrs. Farmer are a couple? Not necessarily. But “Mrs. Farmer” is the wife of Mr. Farmer. So:
- Mr. Farmer and Mrs. Farmer are a couple.
- Homer is someone else.

So Homer is not Mr. Farmer.

Therefore:
- Mr. Farmer ≠ Homer
- Mr. Farmer ≠ Edward (since Edward is playing horseshoes with him)
- Mr. Farmer ≠ Brad? Possibly.

Wait: Edward is playing horseshoes with Lisa and Daphne. That suggests Edward is not married to Lisa or Daphne? Or maybe he is, but we can’t assume.

But let’s proceed carefully.

---

Clue 1:


> Brad and his wife, who didn't take iced tea, rode to the picnic with the Ordways, who didn't take apple pie, in their car.

So:
- Brad and his wife → car
- They rode with the Ordways → so both Brad’s couple and the Ordways went by car
- Brad’s wife did not take iced tea
- Ordways did not take apple pie

So:
- Brad and wife → car
- Ordways → car
- Therefore, both couples used the car
- Brad’s wife ≠ iced tea
- Ordways ≠ apple pie

Also, since two couples went by car, and others had different modes, we’ll use this later.

---

Clue 2:


> Moira and her husband went to the picnic on their motorcycles.

So:
- Moira + her husband → motorcycle

Only one couple uses motorcycle.

---

Clue 3:


> The Farmers went to the picnic on their bicycles.

So:
- Farmers → bicycles

---

Clue 4:


> The Creightons didn't go to the picnic in a car.

So:
- Creightons ≠ car

---

Clue 5:


> Homer and Mrs. Farmer went swimming while Mr. Farmer and Edward played horseshoes with Lisa and Daphne.

Important observations:

- Homer and Mrs. Farmer went swimming → they are not the same person, but possibly a couple?
- But “Mrs. Farmer” is the wife of Mr. Farmer.
- So Homer and Mrs. Farmer are two different people.
- But they went swimming together → could be a couple? Or just friends?

But if they are a couple, then Homer is Mr. Farmer? No, because Mrs. Farmer is the wife of Mr. Farmer.

So Homer ≠ Mr. Farmer.

Also, Mr. Farmer and Edward played horseshoes with Lisa and Daphne.

So:
- Mr. Farmer and Edward → both men
- Lisa and Daphne → both women

So the group playing horseshoes includes:
- Mr. Farmer
- Edward
- Lisa
- Daphne

So these four are present at the picnic.

Now, Homer and Mrs. Farmer went swimming — so they are also at the picnic.

So all eight people are accounted for.

Now, key point: Homer and Mrs. Farmer went swimming → so they are not playing horseshoes.

Therefore:
- Homer ≠ Mr. Farmer
- Homer ≠ Edward (because Edward is playing horseshoes)
- Mrs. Farmer ≠ Lisa or Daphne (because they are playing horseshoes)

So:
- Mrs. Farmer is not Lisa or Daphne → so Mrs. Farmer is either Moira or Norma

Similarly, Homer is not Edward or Mr. Farmer → so Homer is not Mr. Farmer or Edward → so Homer is either Brad or Ken

Also, Mr. Farmer is not Homer or Edward → so Mr. Farmer is either Brad or Ken

But wait: Homer is not Mr. Farmer → OK

Edward is not Mr. Farmer → so Edward ≠ Mr. Farmer

So Mr. Farmer is either Brad or Ken

Homer is either Brad or Ken

So possible: Homer = Brad or Ken; Mr. Farmer = Brad or Ken

But can they be the same? Only if Homer = Mr. Farmer, but we know Homer ≠ Mr. Farmer → so Homer ≠ Mr. Farmer

So Homer and Mr. Farmer are different people.

So both are among Brad and Ken.

So possibilities:
- Homer = Brad → Mr. Farmer = Ken
- Homer = Ken → Mr. Farmer = Brad

So either way, Homer and Mr. Farmer are Brad and Ken in some order.

---

Clue 6:


> Edward, who didn't go to the picnic in a car, did not take apple pie or bean salad.

So:
- Edward ≠ car
- Edward ≠ apple pie
- Edward ≠ bean salad

So Edward took either iced tea or potato salad

And Edward went by non-car → so either motorcycle, bicycle, or swimming?

But swimming is an activity, not a transport method. Probably, everyone arrived by some mode.

But clue 5 says Homer and Mrs. Farmer went swimming — meaning they arrived by some means and then swam.

So transport is separate.

Edward didn’t go by car → so Edward’s transport was not car.

From earlier:
- Car: Brad and Ordways (from clue 1)
- Motorcycle: Moira and her husband (clue 2)
- Bicycles: Farmers (clue 3)
- Creightons ≠ car (clue 4)

So possible transports:
- Car: Brad’s couple and Ordways → two couples
- Motorcycle: one couple
- Bicycles: Farmers → one couple
- Remaining: ??? — but only four couples

So Creightons ≠ car → so Creightons must be either motorcycle or bicycles

But Farmers = bicycles → so Creightons ≠ bicycles → so Creightons ≠ car and ≠ bicycles → so Creightons must be motorcycle?

But only one couple uses motorcycle → Moira and her husband.

So Creightons must be the motorcycle couple → so Creightons = Moira and her husband

So:
- Creightons → motorcycle
- Moira and her husband → motorcycle → so Moira is the wife of the Creighton man

So:
- Moira is wife of Creighton husband
- Creightons → motorcycle

Also, Creightons ≠ car → matches clue 4

Now, farmers → bicycles

Ordways → car (from clue 1)

Brad → car (from clue 1)

So:
- Car: Brad’s couple and Ordways
- Bicycles: Farmers
- Motorcycle: Creightons (Moira and her husband)
- So remaining couple: Garsons → must be the one left

Couples: Creightons, Farmers, Garsons, Ordways

So:
- Creightons → motorcycle
- Farmers → bicycles
- Ordways → car
- Brad’s couple → car → so Brad is either Ordway or part of the other car couple

But Brad’s couple and Ordways both went by car → so Brad is not Ordway? Or could be?

No: “Brad and his wife... rode to the picnic with the Ordways” → so Brad is not Ordway, because they rode *with* them.

So Brad is not Ordway → so Brad is from a different family.

So Brad is from one of: Creightons, Farmers, Garsons

But Creightons → motorcycle → Brad ≠ Creighton (because Brad went by car)

Farmers → bicycles → Brad ≠ Farmer

So Brad must be Garson?

Wait: Brad’s couple went by car → so Brad is not Creighton (motorcycle), not Farmer (bicycle), not Ordway (but Ordways went by car, so Brad could be Ordway?)

But clue 1 says: “Brad and his wife... rode to the picnic with the Ordways”

“With” implies they are different couples.

So Brad is not Ordway.

So Brad is from Garsons? Only one left.

So:
- Brad → Garson
- Brad’s couple → car
- Ordways → car
- So two couples went by car: Brad/Garsons and Ordways

Then:
- Farmers → bicycles
- Creightons → motorcycle

And Garsons → Brad and his wife

So last names:
- Brad → Garson
- Ordways → ?
- Farmers → ?
- Creightons → ?

Now, husbands: Brad, Edward, Homer, Ken

We already have:
- Brad → Garson
- Edward → ?
- Homer → ?
- Ken → ?

Wives: Daphne, Lisa, Moira, Norma

Moira → Creighton (from above, since Creightons → motorcycle, and Moira and husband → motorcycle)

So Moira is wife of Creighton man

So:
- Moira → Creighton

Now, clue 5 again:
> Homer and Mrs. Farmer went swimming while Mr. Farmer and Edward played horseshoes with Lisa and Daphne.

We now know:
- Mr. Farmer ≠ Homer (obvious)
- Mr. Farmer ≠ Edward (they are different people)
- Mrs. Farmer ≠ Lisa or Daphne → so Mrs. Farmer is Moira or Norma

But Moira is already married to Creighton → so Mrs. Farmer cannot be Moira → so Mrs. Farmer = Norma

Therefore:
- Mrs. Farmer = Norma
- So Mr. Farmer = ? → husband of Norma → so Mr. Farmer is one of: Edward, Homer, Ken, Brad

But Brad → Garson → so Brad ≠ Farmer

So Mr. Farmer is Edward, Homer, or Ken

But earlier: Mr. Farmer ≠ Edward (they are different people in the horseshoe game) → so Edward ≠ Mr. Farmer

Mr. Farmer ≠ Homer → so Mr. Farmer ≠ Homer

So Mr. Farmer must be Ken

Therefore:
- Mr. Farmer = Ken
- Mrs. Farmer = Norma

So Farmer couple: Ken and Norma

Now, husbands left: Edward, Homer, Brad, Ken → Ken is taken

Brad → Garson

So Edward and Homer are from Creighton and Ordway

But Creighton → Moira (wife) → so Creighton husband is either Edward or Homer

Similarly, Ordways → unknown wife

Now, clue 6:
> Edward, who didn't go to the picnic in a car, did not take apple pie or bean salad.

Edward ≠ car → so Edward’s transport ≠ car

But car couples: Brad/Garsons and Ordways

So Edward is not in Brad’s couple (Garsons) → so Edward ≠ Brad → obvious

Is Edward in Ordways? Then he would be in car → but clue says Edward ≠ car → so Edward is not in Ordways

So Edward is not in car → so Edward is not in Brad’s couple (car) or Ordways (car)

So Edward must be in Creightons or Farmers

But Farmers → bicycles → so Edward could be in Farmers

Creightons → motorcycle → also possible

But Edward ≠ car → so he can be in either

But we already have:
- Farmers = Ken and Norma → so Edward ≠ Farmer

So Edward ≠ Ken → already known

So Edward ≠ Farmer → so Edward is not in Farmers

Therefore, Edward must be in Creightons

So:
- Edward → Creighton
- Creighton husband = Edward
- Creighton wife = Moira (from earlier)

So Edward and Moira are married → Creightons

So:
- Creightons: Edward and Moira

Now, only one couple left: Ordways

Husbands left: Homer and Ken → Ken is Farmer → so Homer must be Ordway?

Wait: husbands: Brad (Garson), Edward (Creighton), Ken (Farmer), so Homer must be Ordway

So:
- Ordways: Homer and his wife

Wives left: Daphne, Lisa, Norma, Moira → Moira and Norma taken

So wives left: Daphne, Lisa

So Ordways wife is either Daphne or Lisa

But clue 1 says:
> Brad and his wife, who didn't take iced tea, rode to the picnic with the Ordways, who didn't take apple pie, in their car.

So Ordways didn't take apple pie

Also, Brad’s wife didn’t take iced tea

Now, foods: apple pie, bean salad, iced tea, potato salad

Each couple took one food.

Clue 6: Edward didn’t take apple pie or bean salad → so Edward took iced tea or potato salad

Edward → Creighton → Moira → so Creighton took iced tea or potato salad

Now, clue 7:
> Brad, who isn't married to Daphne, did not take apple pie or bean salad.

So:
- Brad ≠ Daphne → so Brad’s wife is not Daphne → so Brad’s wife is Lisa or Norma

But Norma is married to Ken (Farmer) → so Brad’s wife ≠ Norma → so Brad’s wife = Lisa

So:
- Brad → Garson
- Wife → Lisa

So Garsons: Brad and Lisa

Now, wives:
- Moira → Creighton
- Norma → Farmer
- Lisa → Garson
- So Daphne → must be Ordway

So Ordways: Homer and Daphne

Now, summarize:

| Couple | Husband | Wife | Transport |
|--------------|---------|---------|---------------|
| Garsons | Brad | Lisa | Car |
| Ordways | Homer | Daphne | Car |
| Farmers | Ken | Norma | Bicycles |
| Creightons | Edward | Moira | Motorcycle |

Now, foods:

Each couple took one food.

Foods: apple pie, bean salad, iced tea, potato salad

From clue 1:
- Ordways didn’t take apple pie → so Ordways ≠ apple pie
- Brad’s wife (Lisa) didn’t take iced tea → so Lisa ≠ iced tea

From clue 6:
- Edward didn’t take apple pie or bean salad → so Edward took iced tea or potato salad

From clue 7:
- Brad didn’t take apple pie or bean salad → so Brad took iced tea or potato salad

But Brad’s wife (Lisa) didn’t take iced tea → so Lisa ≠ iced tea

But Brad took the food — not Lisa. So Brad’s food ≠ iced tea? Wait no: the food is per couple, so the couple took one food.

So Brad and Lisa’s couple → they took one food.

But clue 7 says: Brad, who isn't married to Daphne, did not take apple pie or bean salad.

So Brad’s couple did not take apple pie or bean salad → so Brad’s couple took iced tea or potato salad

Similarly, clue 1: Brad’s wife didn’t take iced tea → but she is part of the couple → so the couple didn’t take iced tea? Wait.

Wait: "Brad and his wife, who didn't take iced tea" → so the wife didn’t take iced tea → so the food they brought is not iced tea

So Brad’s couple ≠ iced tea

But from clue 7: Brad’s couple ≠ apple pie or bean salad

So Brad’s couple ≠ apple pie, ≠ bean salad, ≠ iced tea → so only possibility: potato salad

So:
- Brad and Lisa → potato salad

Now, clue 1: Ordways didn’t take apple pie → so Ordways ≠ apple pie

Now, Edward (Creightons) didn’t take apple pie or bean salad → so Edward ≠ apple pie, ≠ bean salad → so Edward = iced tea or potato salad

But potato salad is taken by Brad → so Edward ≠ potato salad → so Edward = iced tea

So:
- Edward and Moira → iced tea

Now, foods left:
- apple pie
- bean salad

For:
- Ordways (Homer and Daphne)
- Farmers (Ken and Norma)

Ordways ≠ apple pie → so Ordways = bean salad

Then Farmers = apple pie

Now, check clue 5:
> Homer and Mrs. Farmer went swimming while Mr. Farmer and Edward played horseshoes with Lisa and Daphne.

We have:
- Homer → Ordways
- Mrs. Farmer → Norma
- Mr. Farmer → Ken
- Edward → Creighton
- Lisa → Brad’s wife
- Daphne → Homer’s wife

So:
- Homer and Norma went swimming
- Ken and Edward played horseshoes with Lisa and Daphne

That works.

Now, check clue 2: Moira and her husband → motorcycle → yes, Creightons → motorcycle → correct

Clue 3: Farmers → bicycles → yes, Ken and Norma → bicycles → correct

Clue 4: Creightons didn’t go by car → yes, they went by motorcycle → correct

Clue 1: Brad and wife (Lisa) → car → yes
They rode with Ordways (Homer and Daphne) → both car → yes
Brad’s wife (Lisa) didn’t take iced tea → they took potato salad → not iced tea → ok
Ordways didn’t take apple pie → they took bean salad → ok

Clue 6: Edward didn’t go by car → he went by motorcycle → ok
Didn’t take apple pie or bean salad → took iced tea → ok

Clue 7: Brad isn’t married to Daphne → he’s married to Lisa → ok
Didn’t take apple pie or bean salad → took potato salad → ok

All clues satisfied.

Now, final answer:

Matching everything:



#### Couples:
- Creightons: Edward and Moira → motorcycle → iced tea
- Farmers: Ken and Norma → bicycles → apple pie
- Garsons: Brad and Lisa → car → potato salad
- Ordways: Homer and Daphne → car → bean salad

#### Summary Table:

| Last Name | Husband | Wife | Transport | Food |
|--------------|---------|---------|---------------|----------------|
| Creightons | Edward | Moira | Motorcycle | Iced Tea |
| Farmers | Ken | Norma | Bicycles | Apple Pie |
| Garsons | Brad | Lisa | Car | Potato Salad |
| Ordways | Homer | Daphne | Car | Bean Salad |

All clues satisfied.

Final Answer:



- Brad is married to Lisa, they are the Garsons, went by car, and brought potato salad.
- Edward is married to Moira, they are the Creightons, went by motorcycle, and brought iced tea.
- Homer is married to Daphne, they are the Ordways, went by car, and brought bean salad.
- Ken is married to Norma, they are the Farmers, went by bicycles, and brought apple pie.

This completes the solution.
Parent Tip: Review the logic above to help your child master the concept of 4th grade critical thinking worksheet.
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