Monday, October 6, 2025

Can you solve this week's puzzler?

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This Week's Puzzler

Clutch Cable Fiasco

It is time for the new puzzler. 

This one is a true automotive puzzler. Here it is. 

Years ago, a guy came into the shop with his Volvo on the back of a tow truck.

The customer said, "I'm in trouble. I need your help. My clutch cable is broken."

And I said, "No problem. We can fix that."

And he said, "Wait, that's not all. The clutch cable has broken five times in the last five months."

I said, "Oh, bummer. What happened?"

He said, "I don't know. I had a new clutch put in about six months ago, and when they put the new clutch in, they put a new clutch cable in at the same time. Then after a bit, the new clutch cable breaks. I figured the one they put in was defective, so I put another one in. But then, a month later, that clutch cable breaks. In fact, every month or so, the cable breaks. By this time, I was at my wits end, so I took it to another shop, figuring the clutch had to be defective. So, the new shop put in a new clutch and a new clutch cable. And still, a month later, the cable breaks. I'm so frustrated. Can you help me?"

So he tells me this whole long story. And I said, "Wow, that is interesting. Can you tell me under what circumstances does it break?"

And he said, "I start the car, I go to drive it away, I step on the clutch, or I go to shift it in gear. I get to the corner, for example, I shift into neutral. I go to start. When the light turns green, I step on the clutch and the cable breaks."

I said, "Well, does the car start now?"

He said, "I didn't bother to start it because I couldn't drive it. I just had it towed. So, I don't know if it starts."

I said, "I bet it won't start."

And the customer said, "Of course it should start. It is only the clutch that is broken."

So we go out to the garage with the keys. I get it in and try it. And, it will not start. There's nothing. Not even a clicking sound. Just nothing.

And he said, "What does this have to do with my breaking clutch cables?"

And I said, "Everything."

And the puzzler question today is, what is going on here?

Good luck.

Answer the Puzzler »
Remember last week's puzzler?

104 Mixed Up Cards

Puzzler time.

This one is quick. 

Here we go.

Let's say you have two ordinary decks of playing cards, minus the jokers. So you have a deck of 52 cards and another deck of 52 cards. These are identical decks. They are both red on the back. 

So, take both those decks and a shuffle them up as best you can. So both identical decks, mixed together, shuffled really good. 

That would be 104 cards all mixed up together. 

Then you divide them into two equal piles. You do this randomly, so just two equal piles of 52 cards each. 

So you got a pile of 52 cards on one side of the table and a pile of 52 cards on the other side of the table. 

And the puzzler question is, what are the chances that the number of red cards in pile #1 equals the number of black cards in pile #2? 

And also, how many cards would you have to look at to be certain of your answer? 

Find out here »
Congratulations to this week's
puzzler winner:

 dougly1

Congratulations! This correct answer was chosen at random by our Web Lackeys.
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Friday, October 3, 2025

Can you solve this week's puzzler?

View in browser »
This Week's Puzzler

104 Mixed Up Cards

Puzzler time.

This one is quick. 

Here we go.

Let's say you have two ordinary decks of playing cards, minus the jokers. So you have a deck of 52 cards and another deck of 52 cards. These are identical decks. They are both red on the back. 

So, take both those decks and a shuffle them up as best you can. So both identical decks, mixed together, shuffled really good. 

That would be 104 cards all mixed up together. 

Then you divide them into two equal piles. You do this randomly, so just two equal piles of 52 cards each. 

So you got a pile of 52 cards on one side of the table and a pile of 52 cards on the other side of the table. 

And the puzzler question is, what are the chances that the number of red cards in pile #1 equals the number of black cards in pile #2? 

And also, how many cards would you have to look at to be certain of your answer? 

Good luck.

Answer the Puzzler »
Remember last week's puzzler?

The Valid Equation

Puzzler time.

This one involves matchsticks and Roman numerals again. But if you don't have those, because no one smokes anymore, you can use regular sticks!

Here we go.

So, if you use your sticks to make Roman numeral 7, that would be VII. 

Then an equals sign, which is two more sticks, of course. 

The you put an I. 

So the equation says: VII = I

Which is: 7 = 1

Now, your task is to move one stick and make this a valid true equation. 

The puzzler question is, which stick do you move to make it a valid equation?

Find out here »
Congratulations to this week's
puzzler winner:

 rpmerrill

Congratulations! This correct answer was chosen at random by our Web Lackeys.
Facebook Twitter Instagram website@cartalk.com
Cartalk.com Community
This Week's Show Podcast
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Care of WBUR, 890 Commonwealth Avenue, Boston, MA 02215
Contents © 2025, Dewey, Cheatham, and Howe.
powered by emma