Round 24

Date released: September 12th, 2001.
Date rewarded: October 5th, 2001.

Pawkeet and Mirgle have had their game of Deckball rudely interrupted by a filthy braggart pirate. In an attempt to ruin their fun he steals their deckball, loads it into his cannon and fires it off into the distance.

Assuming that the value of gravity on Neopia is 9.8m/s², and that the initial launch velocity of the ball is 100 meters per second, and also assuming that the ball lands on a rocky outcrop at exactly the same altitude as the cannon...

How many seconds is the deckball in the air?
(rounding down to the nearest second)

Prize
Unknown

Click to show/hide solution

The information in the problem is not enough to solve. If we want to get the answer that TNT gave, we have to assume the given initial velocity is the part in vertical direction. That means:

v_y = 100 m/s

According to the trajectory of a projectile equations [1], the time for the deckball to be in the air is:

t = 2vsinθ / g = 2v_y / g = 20.41 s

where θ is the angle of shooting, and g = 9.8m/s² is the Neopia gravity acceleration. After rounding, the answer is 20 seconds.

References:
[1] Trajectory of a projectile

Round 23

Date released: August 29th, 2001.
Date rewarded: September 12th, 2001.

The Fontaine sisters are seamstresses by trade. They have been commissioned to create as many 2 by 3 feet rectangular Jolly Roger flags as they can for the pirates in their village, so Loretta Fontaine has gone out to buy cloth to embroider.

Dark cloth costs 150 Neopoints a foot and comes in a roll five feet wide. It can be bought in any length (even down to the inch). She has a total of 1,260 Neopoints to spend on the cloth.

How many WHOLE Jolly Roger flags will they be able to make???

Prize
Unknown

Click to show/hide solution

Number of feet of the Dark cloth that the Fontaine sisters can buy:

1260 / 150 = 8.4 ft

The area of the bought cloth:

8.4 * 5 = 42 ft²

Number of possible whole flags with that area of the cloth:

42 / (2 * 3) = 7

However, if we check the below figure, the is no way to make 7 flags from the cloth (each flag must have 2 ft x 3 ft dimension). The sisters can make maximum 6 flags from the cloth.


Therefore, the Fontaine sisters can make 6 whole Jolly Roger flags.

2x Champion trophies

From TNT:

GREAT NEW FEATURE - We are now counting the number of times you come first in a variety of our games. If you win Mystery Pic twice you will be a 2x Champion instead of just a champion. The games that keep track of wins so far are Mystery Pic, Lenny Conundrum and Better Than You.

Good news for those who want to compete for the first place.

Round 22

Date released: August 14th, 2001.
Date rewarded: August 29th, 2001.

This week's Conundrum is harder than the rest, and requires you to use your knowledge of Neopets :)

To the nearest 100,000 - how many shops are there in Neopia?

Round your answer down to the nearest hundred thousand (ie.. if you guess at 445,038 then you would say 400,000).

Prize
Unknown

Click to show/hide solution

This week puzzle is for guessing. If you are lucky, you guess it right. The right answer is 3,000,000.

Round 21

Date released: August 10th, 2001.
Date rewarded: August 14th, 2001.

'Excuse me, Slave', said Princess Vyssa, 'I have a job for you'. 'What is it?', Burlak groaned??? Princess Vyssa handed the sculptor a big ball of clay. 'I would like some decorations for my new palace. I want you to build me lots of little pyramids out of this clay. The base has to measure 8 centimeters by 8 centimeters, and they have to be 6 centimeters high..

Burlak looked at the ball of clay, and measured it. It's diameter was 20 centimeters, and it seemed to be a perfect sphere. He wondered how many pyramids he could make... do you know?

Prize
Unknown

Click to show/hide solution

Volume of a pyramid [1]:

V₁ = B * h /3 = 8² * 6 / 3 = 128 cm³

where B is the area of the base of the pyramid, h is the height of the pyramid.

Volume of the sphere [2]:

V₂ = 4/3 * pi * r³ = 4/3 * pi * 10³ = 4000/3 * pi cm³

where r is the radius of the sphere.

Total number of pyramids that Burlak can make:

N = V₂ / V₁ ~ 32.72

Therefore, he can make 32 pyramids from the clay sphere.

References:
[1] Pyramid volume
[2] Sphere volume

Round 20

Date released: August 2nd, 2001.
Date rewarded: August 10th, 2001.

The economy of Roo Island is rather strange. They have four coins, each worth a different number of Neopoints. Three red coins plus two Neopoints equal a green coin. Three green coins plus five Neopoints equal a purple coin. Eleven red coins plus a single Neopoint equal a purple coin.

The fourth coin is a silver coin that is worth four purple coins. If I go to the Roo Island bakery and buy a loaf of bread worth 84 Neopoints with my silver coin, and the shopkeeper gives me change in red coins... how many red coins would I get?

Prize
Unknown

Click to show/hide solution

Let r, g, p, s be the values of red, green, purple and silver coins respectively. We know that:

* Three red coins plus two Neopoints equal a green coin:

3r + 2 = g (1)

* Three green coins plus five Neopoints equal a purple coin:

3g + 5 = p (2)

* Eleven red coins plus a single Neopoint equal a purple coin:

11r + 1 = p (3)

* Silver coin is worth four purple coins:

s = 4p (4)

From (2) and (3), we have:

3g + 5 = 11r + 1 <=> 11r = 3g + 4 (5)

From (1) and (5), we have:

11r = 3g + 4 = 3 * (3r + 2) + 4 = 9r + 10 <=> 2r = 10 <=> r = 5

Therefore:

g = 3r + 2 = 17
p = 3g + 5 = 56
s = 4p = 224

The change that I should get (in red coins):

change = (224 - 84) / 5 = 140 / 5 = 28

I should get back 28 red coins.

Round 19

Date released: July 24th, 2001.
Date rewarded: August 2nd, 2001.

Richard Chia is back... and he has a new anagram!!!

Hello and Welcome to the Lenny Conundrum. This weeks conundrum is a 10-letter word or phrase that has been jumbled up, can you work out what it is?

Prize
Unknown
Click to show/hide solution

Another Richard Chia puzzle. This week answer is Space Usuki.

Round 18

Date released: July 18th, 2001.
Date rewarded: July 24th, 2001.

Heermeedjet the Meerca has 5,000 Neopoints in his pocket (after successfully breaking into somebody's Neohome). He has a go on the Wheel of Excitement and then increases the amount of money he has by 20%. He then takes 20% of his money and spends it on Neggs.

Heermeedjet then puts the rest of the money in the National Neopian Bank, and earns 1% interest every day (daily interest is rounded down) for 10 days. After 10 days he gets bored and puts the all the money on a Poogle at 3:1 odds and wins.

How much money does Heermeedjet have left?

Prize
Unknown

Click to show/hide solution

Heermeedjet starts off with 5,000 NP.
He gains 20% through the Wheel of Excitement, so he has:

5,000 * 120% = 6,000

He spends 20% on Neggs, so he has left:

6,000 * 80% = 4,800

He puts the NP into bank, and earn interest everyday. Here is what he earns for 10 days (interests are rounded down):

1. Day 1: 1% of 4,800 = 48. He then has 4,848 NPs.
2. Day 2: 1% of 4,848 = 48. He then has 4,896 NPs.
3. Day 3: 1% of 4,896 = 48. He then has 4,944 NPs.
4. Day 4: 1% of 4,944 = 49. He then has 4,993 NPs.
5. Day 5: 1% of 4,993 = 49. He then has 5,042 NPs.
6. Day 6: 1% of 5,042 = 50. He then has 5,092 NPs.
7. Day 7: 1% of 5,092 = 50. He then has 5,142 NPs.
8. Day 8: 1% of 5,142 = 51. He then has 5,193 NPs.
9. Day 9: 1% of 5,193 = 51. He then has 5,244 NPs.
10. Day 10: 1% of 5,244 = 52. He then has 5,296 NPs.

He puts all NPs into Poogle Race with odd 3:1 and wins (hence he quadruples his NPs). So he has:

5,296 * 4 = 21,184

Heermeedjet has 21,184 NPs left.

Round 17

Date released: July 10th, 2001.
Date rewarded: July 18th, 2001.

Richard Chia is back... and he has a new anagram!!!

Hello and Welcome to the Lenny Conundrum. This weeks conundrum is a 10-letter word or phrase that has been jumbled up, can you work out what it is?

Prize
Unknown

Click to show/hide solution

Another word unscrambling puzzle. The answer is Sporkle Leg.

Round 16

Date released: July 6th, 2001.
Date rewarded: July 10th, 2001.

Senator Barca came rushing over the Sand Dune to talk to Peopatra. 'Help, Im being chased by Grundos. Can I hide here???'. Peopatra nodded and lifted up the carpet concealing the trapdoor in the floor of her tent.

All but two of the Grundos chasing Barca were Green, all but two of the Grundos were Purple, and all but two of the Grundos were Red.

How many Grundos were chasing Barca???

Prize
Unknown

Click to show/hide solution

Let x be the number of Grundo.
Number of Green Grundos: x - 2
Number of Purple Grundos: x -2
Number of Red Grundos: x -2

Therefore, number of all Grundos:

(x - 2) + (x - 2) + (x - 2) = x <=> 3x - 6 = x <=> 2x = 6 <=> x = 3

There are 3 Grundos. (one of each color)

Round 15

Date released: June 27th, 2001.
Date rewarded: July 6th, 2001.

Two kings of Sakhmet from history were King Galat-Ra the Lupe and King Hephaes-Ru the Kacheek. Galat-Ra died 120 years after Hephaes-Ru was born. Their combined ages when they died was 100 years. Hephaes-Ru died in the year 40 B.N. (Before Neopia).

In what year was King Galat-Ra born?

Prize


Geb

Click to show/hide solution

Let x be the year King Galat-Ra was born, y be the year King Hephaes-Ru was born. We know that: "Galat-Ra died 120 years after Hephaes-Ru was born". Therefore, Galat-Ra died in the year y + 120. His age when he died is y + 120 - x. Hephaes-Ru's age when he died is 40 B.N. - y.

We also know that: "Their combined ages when they died was 100 years." Therefore:

y + 120 - x + 40 B.N. - y = 100 <=> x = 40 B.N. + 20 = 20 B.N.

King Galat-Ra was born in 20 B.N.

Round 14

Date released: June 20th, 2001.
Date rewarded: June 27th, 2001.

Once again this week Richard Chia will provide you with a confusing anagram!

Hello and Welcome to the Lenny Conundrum. This weeks conundrum is a 11-letter word that has been jumbled up, can you work out what it is?

Prize


Kauvaras Potion
Click to show/hide solution

Same type of puzzle as last week. The answer is Tigersquash.

Round 13

Date released: June 13th, 2001.
Date rewarded: June 20th, 2001.

For this week's conundrum, I would like to pass you to my good friend Richard Chia.

Hello and Welcome to the Lenny Conundrum. This weeks conundrum is a 10-letter word that has been jumbled up, can you work out what it is?

Prize
Unknown
Click to show/hide solution

This is unscrambling puzzle type. The answer is Pterattack.

Round 12

Date released: June 6th, 2001.
Date rewarded: June 13th, 2001.

Mrs. Doyle the Housekeeper JubJub has made a big, big pile of sandwiches for the party of Skeiths visiting her house tonight. When she counts them, she realises that she can equally split the sandwiches between two Skeiths and have none left over. She can also split them between three Skeiths, four Skeiths, five Skeiths and six Skeiths equally and every time there will be no sandwiches left over.

What is the smallest amount of sandwiches that Mrs. Doyle could have made?

Prize
Unknown

Click to show/hide solution

The number of sandwiches is divisible by 2, 3, 4, 5 and 6. We want the find the least common multiple of the above numbers.

2 = 2
3 = 3
4 = 2²
5 = 5
6 = 2 * 3

The least common multiple is:

2² * 3 * 5 = 60

Therefore, the number of sandwiches is 60.

Round 11

Date released: May 30th, 2001.
Date rewarded: June 6th, 2001.

Brucey B has just won a load of money playing Cheat! He puts 1/5 of his winnings in the National Neopian Bank, and 1/2 of his winnings he invests into shares.

After those investments Brucey realises he still has quite a lot left. He then goes to Neopia Central and spends 1/10 of his winnings on chocolate neggs! At the end of the day he goes home and puts his remaining 500 NP in his mattress.

How much did Brucey B win?

Prize
Unknown

Click to show/hide solution

Brucey's spending: 1/5 + 1/2 + 1/10 = 4/5. He has 1 - 4/5 = 1/5 of his winning money. That amount is 500 NPs. Therefore, his winning amount is 500 NP * 5 = 2500 NPs.

Round 10

Date Released: May 23rd, 2001.
Date Rewarded: May 30rd, 2001.

Siya the Usuki Doll (pictured above) is 9 years older than her brother, and 25 years younger than her father. In seven years time her father will be three times older than her brother. How old is Siya now?

Prize
Unknown

Click to show/hide solution

Let x be Siya's age, y be her brother's age and z be her father's age. We know:

y = x - 9
z = x + 25

In seven years, her brother's age and her father's age will be x - 2 and x + 32 respectively (add 7 to y and z). Her father's age will be three times her brother's age then. Therefore,

x + 32 = 3 * (x - 2) <=> x + 32 = 3x - 6 <=> 2x = 38 <=> x = 19

Therefore, Siya is 19 years old now.

Check: her brother's age = 10, her father's age = 44. In seven years, her father's age = 51, three times as much as her brother's age = 17.

Note: The picture is missing.

Round 9

Date Released: May 15th, 2001.
Date Rewarded: May 23rd, 2001.

There are six Moehogs travelling to Neopia Central, and each Moehog is carrying six baskets. In each basket are six Puppyblews, and each Puppyblew has had two baby Puppyblews. How many legs are there in total between all the Moehogs and Puppyblews?

Prize
Unknown

Click to show/hide solution

Number of Moehogs: 6.
Number of baskets: 6 x 6 = 36.
Number of Puppyblews: 36 x 6 = 216.
Number of baby Puppyblews: 216 x 2 = 432.

Number of legs: (6 + 216 + 432) x 4 = 2616. The answer is: there are 2616 legs.

Round 8

Date Released: May 8th, 2001.
Date Rewarded: May 15th, 2001.

What's the next letter in the following sequence?

W T N L I T F _ ?

Prize


Shadow Paint Brush

Click to show/hide solution

Each letter in the sequence is the first letter of each word in the question. Therefore, the answer is S.

Note: The prize used to be named Shadowed Paint Brush.

Round 7

Date Released: May 1st, 2001.
Date Rewarded: May 8th, 2001.

How many letters are in the answer to this question?

HINT : Don't bother counting the letters in the phrase 'the answer to this question' - we already thought of that, and its the incorrect answer!

Prize
Unknown

Click to show/hide solution

The answer of this question must be a number (in either digit or alphabetical form). If it is in the digit form, it does not have any letters. Therefore, the correct answer is 0. If it is in the alphabetical form, only one number satisfies this condition (four = 4). Therefore, the answer should be 0 or four.

Round 6

Date Released: April 25th, 2001.
Date Rewarded: May 1st, 2001.



If you wrote all of the numbers from 300 to 400 on a piece of paper, how many times would you have written the number 3?

Prize
Unknown

Click to show/hide solution

There are 100 numbers from 300 to 399. Each one has a number 3 in the 1st digit. (hundreds place)
There are 10 numbers from 330 to 339. Each one has a number 3 in the 2nd digit. (tens place)
There are 10 numbers that has a number 3 in the last digit (ones place) i.e. 303, 313, 323 ... 393.

Therefore, there are totally 120 times of number 3 from number 300 to number 400.

Round 5

Date Released: April 19th, 2001.
Date Rewarded: April 25th, 2001

The total number of Neopoints worth of goods bought every day in Neopia is 8,549,176,320 NP. What is special about that number?

Prize
Unknown

Click to show/hide solution

All the digits in the number are in alphabetical order: Eight, Five, Four, Nine, One, Seven, Six, Three, Two, Zero.

Round 4

Date Released: April 10th, 2001.
Date Rewarded: April 19th, 2001.

This weeks conundrum is less confusing than last weeks... but it's still quite tricky.

My question is : What are the next two letters in this series: A E F H I K L M ?

It's too hard!!!

Prize
Unknown
Click to show/hide solution

Those letter are made of straight lines only. Other letters between the above letters: B, C, D, G, J having curves in them. Therefore, the next two letters are N and T.

Round 3

Date Released: April 3rd, 2001.
Date Rewarded: April 10th, 2001.

I spent one third of my life in school,
I spent four years working in a bakery in Neopia Central,
I spent the next three years smuggling Juppies in Mystery Island.

How old am I?

Prize
Unknown
Click to show/hide solution

According to the news, "The correct answer to last week's was Thirty-Four as it was in fact referring to Mulvinn the Wocky." TNT took it down and replaced with "The Nightsteed" article.

Note: If you have a copy of that article, please let me know.

Round 2

Date released: March 27th, 2001.
Date rewarded: April 3rd, 2001.

A Skeith weighs 100 pounds plus half of his weight. How much does he weigh?

Prize
Unknown

Click to show/hide solution

Let x be the weight of the Skeith. We have:

x = 100 + 0.5x <=> 0.5x = 100 <=> x = 200

Another way to look at the puzzle is: the skeith weighs 100 pounds plus half of his weight. Therefore, 100 pounds must be the other half of his weight. Then, his weight is 200 pounds.

Therefore, the Skeith weighs 200 pounds.

Note: the game has the trophies.

Round 1

Date released: March 23rd, 2001.
Date rewarded: March 27th, 2001.

There are two Nimmos. The blue Nimmo points to the green one and says...

Brothers and sisters I have none,
But this Nimmo's father is my father's son...

My question is... What relation is the blue one to the green one?

Prize
Unknown

Click to show/hide solution

Let B - Blue Nimmo, G - Green Nimmo. B said: G's father = B's father's son. Since B does not have any brothers and sisters, he is the only son of his father. So B's father's son = B.

We then have G's father = B's father's son = B. Therefore, B is G's father. The answer should be: the Blue Nimmo is the father of the Green Nimmo.

Note: This is the first Lenny Conundrum ever. According to the news: "The first 1000 people to answer the riddle correctly will get a unique prize". The old Lenny Conundrum pose is below.