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## World of Nerds

Logic puzzles require you to think. You will have to be logical in your reasoning.

 Puzzle ID: #49134 Fun: (2.78) Difficulty: (3.23) Category: Logic Submitted By: Gizzer

Five friends spend every Monday night eating Chinese food from the Golden Dragon. Howard has Mu Shu Pork, Leonard has Spicy Szechuan Tofu, Penny has Shrimp with Lobster Sauce, Raj has Beef with String Beans, and Sheldon has Chicken and Broccoli: diced, not shredded, with brown rice, not white, low-sodium soy sauce and the good hot mustard from the Korean grocery.

After dinner, they play a role-playing game called World of Nerds.

In this game, each player takes on a character belonging to a different race of creature, has a different occupation, uses a different sort of weapon, specializes in fighting a particular kind of monster, and has a different skill level.

Can you determine the characteristics of each player's character from the following clues before someone sits in Sheldon's spot?

Players: Howard, Leonard, Penny, Raj and Sheldon
Races: elf, gremlin, halfling, hobbit and ogre
Occupations: archbishop, merchant, paladin, sorcerer and thief
Weapons: bolo, crossbow, dagger, fireballs and mace
Monsters: chimeras, giants, harpies, kobolds and orcs
Skill levels: range from 10-32

Clues:

1. The five characters in the game are Penny's, the 24th-level ogre, the thief, the fireball user, and the one skilled at fighting orcs.

2. The paladin isn't an elf.

3. The bolo user has a skill level twice that of the halfling.

4. Raj's character has a skill level eight levels higher than the paladin, who in turn is eight levels higher than the crossbow user.

5. The hobbit is no good at fighting giants.

6. The elf (who doesn't care for crossbows) is ten levels higher than the one who fights kobolds.

7. The one who is adept at fighting chimeras is four levels higher than Leonard's character (who isn't the archbishop).

8. The character at the lowest level (who isn't Penny) is at level ten and uses a dagger.

9. Neither the archbishop nor the merchant belongs to the race of gremlins.

10. The giant fighter never uses a mace in battle.

11. Raj's character isn't the elf.

12. Penny's character doesn't use the crossbow.

13. Howard's character is not particularly adept at fighting harpies.

Howard is the halfling and a level 10 thief who fights kobolds with a dagger.
Leonard is the hobbit and a level 16 merchant who fights orcs with a crossbow.
Penny is the elf and a level 20 archbishop who fights chimeras with a bolo.
Raj is the gremlin and a level 32 sorcerer who fights giants with fireballs.
Sheldon is the ogre and a level 24 paladin who fights harpies with a mace.

Explanation:

The first step is to determine the actual skill levels of the five players.

The lowest level is 10, held by the character using a dagger (clue 8).

From (4), the character using a crossbow has an unknown level, let's call it x; the paladin has x+8 and Raj has x+16. Note that x must be greater than 10 and less than or equal to 16, or else x+16 would be greater than 32.

The elf is none of these four players (2, 11, 6), but has a skill level of 10 more than one of them (6). This could be 20, x+10 or x+18.

One skill level has to be 24 (1), two skill levels must have a difference of 4 (7) and one skill level must be twice another (3).

If x=11, then the skill levels are 10, 11, 19, 27 and the elf's is either 20, 21 or 29. None of these is 24; therefore, x isn't 11. Similarly x isn't 12, 13 or 15.

If x=14, then the skill levels are 10, 14, 22, 30 and the elf's is either 20, 24 or 32. This provides a skill level of 24, but for the elf, instead of the ogre; therefore, x isn't 14.

Therefore, x=16 and the skill levels are 10 [dagger], 16 [crossbow], 24 [paladin=ogre], and 32 [Raj]. The elf's skill level must be 20, not 26, in order to satisfy clue (7). This means the elf fights chimeras and Leonard's character uses the crossbow.

Now that we know the skill levels, we can start building a list of the players, starting with the first clue:

Player 1 = Penny
Player 2 = ogre, level 24, paladin
Player 3 = thief
Player 4 = fireballs
Player 5 = orcs

Since the elf has a skill level of 20, the kobold fighter is level 10 (6), and uses the dagger (8). Penny's character doesn't use the dagger (8), and neither does the ogre, who is level 24. Therefore the thief does:

Player 1 = Penny
Player 2 = ogre, level 24, paladin
Player 3 = level 10, thief, kobolds, dagger
Player 4 = fireballs
Player 5 = orcs

Neither Penny's character (12) nor the ogre (4) uses the crossbow [Leonard], so the orc fighter must:

Player 1 = Penny
Player 2 = ogre, level 24, paladin
Player 3 = level 10, thief, kobolds, dagger
Player 4 = fireballs
Player 5 = Leonard, level 16, orcs, crossbow

The ogre can't use the bolo, as no one has level 12 (3), so Penny's character uses the bolo and the thief is the halfling. This leaves the ogre using the mace:

Player 1 = Penny, bolo
Player 2 = ogre, level 24, paladin, mace
Player 3 = halfing, level 10, thief, kobolds, dagger
Player 4 = fireballs
Player 5 = Leonard, level 16, orcs, crossbow

This means that Raj's character, at level 32, must use fireballs, and Penny's character must be the level 20 elf who fights chimeras:

Player 1 = Penny, elf, level 20, chimeras, bolo
Player 2 = ogre, level 24, paladin, mace
Player 3 = halfing, level 10, thief, kobolds, dagger
Player 4 = Raj, level 32, fireballs
Player 5 = Leonard, level 16, orcs, crossbow

The ogre, who uses a mace, doesn't fight giants (10); therefore the ogre fights harpies, leaving Raj's character as the giant fighter:

Player 1 = Penny, elf, level 20, chimeras, bolo
Player 2 = ogre, level 24, paladin, harpies, mace
Player 3 = halfing, level 10, thief, kobolds, dagger
Player 4 = Raj, level 32, giants, fireballs
Player 5 = Leonard, level 16, orcs, crossbow

The hobbit doesn't fight giants (5), so the hobbit must fight orcs, leaving Raj as the gremlin. The gremlin isn't the archbishop or the merchant, and so the gremlin is the sorcerer:

Player 1 = Penny, elf, level 20, chimeras, bolo
Player 2 = ogre, level 24, paladin, harpies, mace
Player 3 = halfing, level 10, thief, kobolds, dagger
Player 4 = Raj, gremlin, level 32, sorcerer, giants, fireballs
Player 5 = Leonard, hobbit, level 16, orcs, crossbow

Leonard's character must be the merchant, rather than the archbishop (7), leaving Penny's character as the archbishop:

Player 1 = Penny, elf, level 20, archbishop, chimeras, bolo
Player 2 = ogre, level 24, paladin, harpies, mace
Player 3 = halfing, level 10, thief, kobolds, dagger
Player 4 = Raj, gremlin, level 32, sorcerer, giants, fireballs
Player 5 = Leonard, hobbit, level 16, merchant, orcs, crossbow

Howard's character doesn't fight harpies (13), so that falls to Sheldon's ogre, while Howard's halfling fights kobolds. And that completes the list:

Player 1 = Penny, elf, level 20, archbishop, chimeras, bolo
Player 2 = Sheldon, ogre, level 24, paladin, harpies, mace
Player 3 = Howard, halfing, level 10, thief, kobolds, dagger
Player 4 = Raj, gremlin, level 32, sorcerer, giants, fireballs
Player 5 = Leonard, hobbit, level 16, merchant, orcs, crossbow

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 Gizzer Nov 23, 2011 I hope you get a Big Bang out of this one! Holografik Dec 02, 2011 Good puzzle; had fun solving it. I just started watching big bang theory a week ago. b4uknow Jan 27, 2012 Hah, nice one! I like the reference~ olderekg Feb 08, 2012 this is very complicated for me. and i'm glad you gave us a clue... dishagarg Jun 08, 2012 truly a gr8 teaser...set me thinking ..the clue was a gr8 help DarylK Jun 22, 2012 Wow, kudos to anyone to has solved it. Took me over 4 hours to solve this conundrum. Great teaser. YangL21 Jun 14, 2013 good one, though it got me frustrated at one point.