NeoPets Riddles (Lenny Conundrums) and Answers Here

Right, I'm pretty sure that is what the extra Devilish Usukis are for - to toss in if he pulls out two Deluxe Angel Usukis.

This is a fairly simple problem when you look at it correctly. Hint: There are three possible combinations of Usukis that can be pulled out of the box. Look at what happens to the number of each kind of Usuki in the box when each combination is drawn.

I thought I got it wrong, but I literally JUST got the neomail. Dear wertyiu102,

Congratulations! You have guessed correctly in the Lenny Conundrum game (round 419). You have won 452 NP!

Yours Sincerely,
The Neopets Team!

Answer was Deluxe Angel usukis. Yay! There will always be an odd number of them.

he current prize for the first 250 correct entries is a Baby Scorchio Milk Cake. You will also get a cool trophy that people can see when they do a user lookup on you! And all correct entries will split the 2,000,000 Neopoint prize pool.

THIS WEEKS PUZZLE - ends next Wednesday, most likely

Given the line below, remove six letters so that the rest name a famous Neopian Legend (without rearranging the remaining letters' order).

Who is the legend?

The current prize for the first 250 correct entries is a Silver Babaa Coin. You will also get a cool trophy that people can see when they do a user lookup on you! And all correct entries will split the 2,000,000 Neopoint prize pool.

THIS WEEKS PUZZLE - ends next Wednesday, most likely

Samrin has been having trouble with a very hungry Babaa eating all the grass and leaving none for the other Petpets. He decided to separate the Babaa from the others, but the only area Samrin had left in his field was a hexagonal patch, each side measuring 40 yards. Samrin tied the Babaa to a post in one corner of the field using a 50 yard rope, and he knows it takes the Babaa 13 minutes to eat 1 square yard of grass.



How many days before the Babaa runs out of food and Samrin has to tie it to another post?
Round to the nearest whole day.

Yay! Real math.

With 50 yards of rope, the Babaa can get to the vertices on either side of where it is tied and a little bit down the next sides. So it can graze about 1/3 of a circle with a radius of 50 yards. The only problem is that the corners of the sector are cut off. If they weren't cut off, then the area would be (1/3) * PI * 50^2 or approximately 2618 square yards giving 23.6 days. So we know the answer is no more than 24 days.

The naive approach is to treat the cut off corner as a sector of a circle with radius 10 and angle 60 degrees. This gives us a net area (after subtracting two such sectors) of about 2513 square yards, giving us 22.7 days, which we would round up to 23 days to submit. Unfortunately, we can't be sure this is correct, since the corners are actually bounded by an arc of a circle of radius 50, not radius 10.

I didn't come up with a good way of calculating the areas of the cut off corners, so instead, I divided up the area the Babaa can reach into a center circle sector and a triangle on either side. Using the laws of cosines and sines, I was able to determine the sides and angles of the triangles and then the the angle of the sector to determine the actual area the Babaa can reach. At that point, I supposed I could figure out the areas of the cut off corners by subtracting, but who cares anymore?

the answer is 22. Comes out to 22.2955537838 rounded that comes to 22 days. The babaa runs out of food at the END of 22 days therefore the day it runs out of food counts towards the total amount of days since that day has already passed at the point which the babaa will run out of food. The wording isn't bad, you guys are just bad at word problems.
You calculated the circular bit wrong, figure out the height and degrees and use an online calculator to get an exact answer, it's also possible to do it on pen and paper and figure out the circular piece using a geometry kit and estimate the area since the question has a rounded answer. Also an easier way to calculate the pentagon shaped part is to plug 40 into the hexagon area formula and divide by 2. Don't over complicate problems.

Only half of what you posted is correct. What does half the area of the hexagon have to do with the solution?

I agree the answer is 22. The Babaa runs out of food partway through the 23rd day, but rounding to the nearest whole day gives you 22 days from 22.29555.

You may notice that I said the "naive" way to do it was to calculate the sector less the two extra pieces. I was implying that this wasn't the correct way to do it, although it does provide an order of magnitude estimate. You may have been confused by my saying that we couldn't be sure "this" was correct. I was referring to the rounded number of days, 23, rather than to the calculation which led to it. For the latter, I stated that the calculation was incorrect because it wasn't a sector of a circle.

I'm not sure what you mean by using height and degrees to get an exact answer. I have a height (10) and a degrees (60), but the problem is that the pieces are not sectors of a circle. As a side point, any on-line calculator is going to give me a rounded, not an exact, answer in most cases, since only at a few specific angles do sines and cosines have rational values.

I would also agree with markr that determining the area of half the pentagon doesn't help much. Personally, I think this was a complicated problem. Unfortunately, Neopets proved today that they either don't know how to read their instructions or didn't know how to solve the problem, since they claimed that the answer was 23.

The current prize for the first 250 correct entries is a Pirate Eyrie Plushie. You will also get a cool trophy that people can see when they do a user lookup on you! And all correct entries will split the 2,000,000 Neopoint prize pool.

THIS WEEKS PUZZLE - ends next Wednesday, most likely

You're very proud of your ten One Dubloon Coins. It's a pretty big deal, after all. Ten of them! Congratulations.

You arranged them in a triangle. A pyramid of sorts. But, for Fyora's sake, it's upside down! Now you've done it. Now you have an upside down dubloon triangle and everyone is going to laugh at you.

Better turn it right side up. But, you can only move three of the dubloons to complete this task. I don't make the rules, buddy! I just enforce them.



Which three dubloons would you move to turn the pyramid right side up?
List them in descending order, separated by spaces.

So I thought they were starting to turn things around after all the problems the LC has been having the last couple of months, but no dice. First they reward the wrong answer for last week's question (23 when it should have been 22) and then they give us another trivial problem.

10 4 1

The current prize for the first 250 correct entries is a Bullseye Pizza. You will also get a cool trophy that people can see when they do a user lookup on you! And all correct entries will split the 2,000,000 Neopoint prize pool.

THIS WEEKS PUZZLE - ends next Wednesday, most likely

During your latest trip to the Ultimate Bullseye field, you noticed a new target being tested. Or, well, that's what you surmise, anyway, because all you see is the trusty Turtum and a new, larger target.



Using this new target, how many well-placed arrows would it take you to reach a score of 120 if you were also lucky enough to get a Fire Hoop?
Enter just the number.

The current prize for the first 250 correct entries is a King Hagan Garden Statue. You will also get a cool trophy that people can see when they do a user lookup on you! And all correct entries will split the 2,000,000 Neopoint prize pool.

THIS WEEKS PUZZLE - ends next Wednesday, most likely

Arty loves to garden! In fact, he has quite a large one in the back of his shop that he keeps all to himself. It's 55 yards wide and 40 yards long with a diagonal path, one yard wide, running through it. Erm... maybe this will help:

Okay, so, it's not to scale. Arty's a gardener, not an architect! Anyway, he'd like to cover the path with some nice pebbles, but he's unsure of how much he'll need to buy. First he needs to know how big the path is!

What is the area of the path?
Enter the number in square yards, rounding to the nearest whole number.

Answer to last week's: 2. Fire hoop doubles your score, so hit the bullseye twice, once with the fire hoop, to get 120.

I calculated the slope of the path to be 0.75. That means the path reduces the width of the rectangle from 55 to 53 1/3. (55-53 1/3)*40 = 66 2/3 which rounds to 67 square yards.

And they do it again - give prizes for the wrong answer. The correct answer is 66 2/3, rounded to 67. Neopets claims it is 64, but I don't believe them.

The current prize for the first 250 correct entries is a Lemon Chia Treat. You will also get a cool trophy that people can see when they do a user lookup on you! And all correct entries will split the 2,000,000 Neopoint prize pool.

THIS WEEKS PUZZLE - ends next Wednesday, most likely

Charlie the Chia has spent a better part of the year running away from a scary Lupe named Boris.

One day, Boris told Charlie, "I'm really tired of chasing you, so here is a riddle. If you answer correctly, I won't chase you any longer. Here it is: The day before yesterday, I was 3 years old, and next year I will be 6. You might think I am fibbing but this is actually true out of one day in a year. What day is my birthday?"

Providing that Boris doesn't change his mind and eat Charlie for breakfast anyway, what is Boris the Lupe's birthday?
Enter the correct answer in the following format below: Month of ____, Day ##

December 31

Today is January 1, and he turned 4 yesterday. He'll turn 5 at the end of this year and 6 next year (about two years from now, but next year).

The current prize for the first 250 correct entries is a Rampaging Grundonoil Plushie. You will also get a cool trophy that people can see when they do a user lookup on you! And all correct entries will split the 2,000,000 Neopoint prize pool.

THIS WEEKS PUZZLE - ends next Wednesday, most likely

Rohane decided to put Mipsy to the test using a complicated maths problem he learned from a wise old sage on some adventure somewhere, he forgets exactly.

"Twelve plus twelve plus twelve plus twelve plus twelve plus thirty equals ninety," he said. "But it also equals another number. If you can tell me that number, you can skip cleaning duty tonight." Mipsy HATED cleaning duty! I mean, really, who likes cleaning duty?

She's clever, though, and was on to his game. She came up with the following forumla and knew she was on the right track:



So, what number gets Mipsy out of cleaning duty?
Enter just the number, without punctuation, or your answer will be marked wrong!

There are 10 letters in the problem. I figured out how to assign each letter to a different digit from 0-9 so that the problem works as the sum of six 6-digit numbers. Then I submitted the 6-digit number that NINETY becomes.

I came up with just one possible set of substitutions to make the problem work.