Comparison between ChatGPT-3.5 and 4

Summary

I asked same questions to ChatGPT-3.5 and ChatGPT-4. ChatGPT-4 is qualitatively smarter than ChatGPT-3.5

Poor Snail

A snail has fallen into a well. The well is 30 cm high, and the snail climbs 3 cm per day but falls 2 cm during the night. How many days does it take the snail to climb up the well?

ChatGPT-3.5

At day time, the snail climbs 3 cm, but at night it slips down 2 cm. So, each day, the snail moves up 1 cm in height.

To climb a total of 30 cm, the snail would need 30 days if there were no nights to slip down. However, the snail slips 2 cm at night, so it needs an additional 2 cm to reach the top each day.

Thus, the snail actually moves 1+2=3 cm every day. Therefore, it would take the snail 30/3 = 10 days to climb up the well.

ChatGPT-4

Let's analyze the snail's progress. Each day the snail climbs 3 cm, but at night, it falls back 2 cm. So overall, the snail makes a net progress of 1 cm per day (3 cm - 2 cm).

On the day the snail reaches the top of the well, it will climb up 3 cm and won't fall back, as it will be out of the well already. To calculate the number of days it takes for the snail to reach the top, we should consider the snail's progress up to 27 cm (30 cm - 3 cm).

Since the snail makes a net progress of 1 cm per day, it will take 27 days to reach 27 cm (27 cm / 1 cm per day). On the 28th day, the snail will climb the remaining 3 cm and finally reach the top of the well.

So, it will take the snail 28 days to climb up the 30 cm well.

Heavy Smoker

A man can make one new cigarette from the butts of five cigarettes. What is the maximum number of cigarettes this man can smoke when he has 50 new cigarettes?

ChatGPT-3.5

If the man can make one new cigarette from the butts of five cigarettes, it means he needs five cigarette butts to make a new cigarette.

Therefore, if he has 50 new cigarettes, he must have started with 250 cigarette butts (50 new cigarettes x 5 butts per cigarette = 250 butts).

Now, if he smokes all 50 new cigarettes, he will end up with 50 cigarette butts. He can then use those 50 butts to make 10 new cigarettes (50 butts / 5 butts per cigarette = 10 cigarettes).

If he smokes those 10 new cigarettes, he will have 10 new butts, which he can use to make 2 new cigarettes (10 butts / 5 butts per cigarette = 2 cigarettes).

If he smokes those 2 new cigarettes, he will have 2 new butts, which he can use to make 1 new cigarette (2 butts / 5 butts per cigarette = 0.4 cigarettes, but we round down to 1).

So, in total, he can smoke 50 + 10 + 2 + 1 = 63 cigarettes.

ChatGPT-4

Let's break down this problem step by step:

1. The man starts with 50 new cigarettes.
2. After smoking the 50 cigarettes, he has 50 butts.
3. He can use these 50 butts to create 50/5 = 10 new cigarettes.
4. After smoking the 10 new cigarettes, he has 10 more butts.
5. He can use these 10 butts to create 10/5 = 2 new cigarettes.
6. After smoking the 2 new cigarettes, he has 2 more butts.
7. At this point, he has a total of 50 (original) + 10 + 2 = 62 smoked cigarettes.

However, he still has some butts left. He has the 2 butts from the last two cigarettes he smoked, plus the 2 butts that he couldn't use when making the last 2 new cigarettes (a total of 4 butts). He only needs one more butt to make another new cigarette.

Since the man can't make another new cigarette with the butts he has, the maximum number of cigarettes he can smoke is 62.

Four Chairs

There is a desk with seats on the east, west, north, and south sides; four people, A, B, C and D, are sitting in one of the chairs. From the following conversation, infer which seat C is sitting in.

A "I have B in front of me"
D "I am sitting on the north seat"

ChatGPT-3.5

From the given conversation, we can infer that:

• Person A is sitting facing towards the south seat.
• Person B is sitting on the south seat, facing towards person A.
• Person D is sitting on the north seat.

Since person A has person B in front of them, and person B is sitting on the south seat facing towards person A, it means that person A is sitting on the north seat facing towards the south. Therefore, person C must be sitting on either the east or the west seat.

We do not have any information about the positions of A, B, or D with respect to person C. However, we can infer from person D's statement that they are not sitting on the east or the west seat, as those are not the north seat. Therefore, person C must be sitting on either the east or the west seat.

So, based on the given conversation, we cannot determine which seat C is sitting in.

ChatGPT-4

From the conversation, we know that:

1. A has B in front of them.
2. D is sitting on the north seat.

Since A has B in front of them, A and B must be sitting in either the north-south or east-west orientation. Since D is sitting on the north seat, A and B cannot be sitting in the north-south orientation. Therefore, A and B are sitting in the east-west orientation.

Since D is sitting on the north seat, C must be sitting on the south seat.