What Color is the Hat?

Yesterday’s Problem:

Six kids named Carla, Sara, Patty, Jeff, David and Doug – were on a scavenger hunt together as a team. Their last names are Thomas, Loomis, Howard, Patrick, Davis, and Rogers – but not in the same order as the first names. They had to find 6 items, so they split up – each to look for one item. They needed a gold plated button, a travel brochure of Hawaii, a clear marble, a parakeet feather, a peach pit, and a fluorescent light bulb. These items were located at various apartments: 3307-G, 3201-C, 3311-A, 3307-B, 3201-F, and 3201-H. Figure out who found which item and where. Your clues follow:

Carla, Howard, and the boy who was looking for the light bulb all found their items in the same apartment building.

Patrick found her marble in building 3307.

Sara and Davis found the pit and the marble in building 3307.

Doug, the girl who was looking for the pit, the boy who hunted for the brochure, the girl who found her item in 3307-B, the boy who found the feather, and the girl who found the button describes the team.

Thomas, Howard, and Rogers are the boys who found the feather, the brochure, and the light bulb at apartments A, F, and H.

Loomis found her button in the same building where Howard found his item at apartment F, and where Doug found his item.

Doug is not Thomas or Davis.
Sara’s search was not for the pit.

Jeff didn’t look for the brochure, and didn’t visit apartment F.

Thomas did not look for the brochure.

Who found what item, what is his or her full name, and where was it found?

Answer:

Carla Loomis, button in 3201-C
Sara Patrick, marble in 3307-B
Patty Davis, pit in 3307-G
Jeff Thomas, feather in 3311-A
David Howard, brochure in 3201-F
Doug Rogers, bulb in 3201H

Finding the answer: You find the answers from taking the clues and knocking off choices – some of the clues indicate Carla, Howard and another boy (first clue) are in apartment 3201, as well as Loomis and Howard and Doug (clue 6) were in the same apartment as well – so they were Carla Loomis, Howard and Doug. Doug was looking for the lightbulb (clue 1). Just go through the clues, and go back through the clues over and over until everything falls into place.

Today’s Problem:

Uncle Bill, the teaser, had his 2 nephews and 1 niece over. He brought out 5 hats, 2 of them red, 3 of them white. He blindfolded the kids and put a hat on each of their heads.

Bill said that they each need to make a guess of the color of the hat on his or her head, and he’ll take off the blindfolds one by one for the guesser. He said if any one of them guesses correctly, he’ll take them to the amusement park. If no one guesses, he’ll have them clean up the yard.

Tom, the oldest, decided to try first. The blindfold came off and he looked at the hats on his brother and sister, but admitted he didn’t know the color hat he was wearing.

Joey said he’d go next. His blindfold was removed and he could not figure out the color of his hat he was wearing.

Stacy then said she knew the color of the hat on her head without needing her blindfold taken off. Did the kids have to clean the yard or did they get to go to the amusement park? What color hat did Stacy have on?

Who Found What Where?

Last Problem:

What number is 4 times 1/10 the number that is 1/10 less than 3/13?

Answer:

17/325. 1/10 less than 3/13 = 3/13 – 1/10 = 30/130 – 13/130 = 17/130. 1/10 of that number is 1/10 X 17/ 130 = 17/1300. 4 times that number = 4 X 17/1300 = 68/1300 = 34/650 = 17/325

Today’s Problem:

Six kids named Carla, Sara, Patty, Jeff, David and Doug – were on a scavenger hunt together as a team. Their last names are Thomas, Loomis, Howard, Patrick, Davis, and Rogers – but not in the same order as the first names. They had to find 6 items, so they split up – each to look for one item. They needed a gold plated button, a travel brochure of Hawaii, a clear marble, a parakeet feather, a peach pit, and a fluorescent light bulb. These items were located at various apartments: 3307-G, 3201-C, 3311-A, 3307-B, 3201-F, and 3201-H. Figure out who found which item and where. Your clues follow:

Carla, Howard, and the boy who was looking for the light bulb all found their items in the same apartment building.

Patrick found her marble in building 3307.

Sara and Davis found the pit and the marble in building 3307.

Doug, the girl who was looking for the pit, the boy who hunted for the brochure, the girl who found her item in 3307-B, the boy who found the feather, and the girl who found the button describes the team.

Thomas, Howard, and Rogers are the boys who found the feather, the brochure, and the light bulb at apartments A, F, and H.

Loomis found her button in the same building where Howard found his item at apartment F, and where Doug found his item.

Doug is not Thomas or Davis.

Sara’s search was not for the pit.

Jeff didn’t look for the brochure, and didn’t visit apartment F.

Thomas did not look for the brochure.

Who found what item, what is his or her full name, and where was it found?

Another Math Teaser

Yesterday’s Problem:

There are 10 cargs in a blag, 6 blags in a shrip, 5 shrips in a flirp, and 7 flirps in a trog. What is the number of cargs in a trog divided by the number of blags in a flirp?

Answer:

70

1 blag = 10cargs, 1shrip = 6blags so => 6blag X 10carg = 60carg in a shrip
1flirp = 5shrip => 5 X 60ccarg = 300carg in a shrip
1trog = 7flirp => 7 X 300carg = 2100carg in a trog
2100 cargs in a trog. 1 flirp = 300carg = 30 X 10carg = 30 blags, so there are 30 blags in a flirp
2100 / 30 = 70

Today’s Problem:

What number is 4 times 1/10 the number that is 1/10 less than 3/13?

How Many?

Last Problem:

What is the next letter in this sequence?

W,I,T,N,L,I,T, ?

Answer:

See  the first letters of the words in the question: What Is The Next Letter In This Sequence

Today’s Problem:

There are 10 cargs in a blag, 6 blags in a shrip, 5 shrips in a flirp, and 7 flirps in a trog. What is the number of cargs in a trog divided by the number of blags in a flirp?

Roman Numerals

Yesterday’s Problem:

Which word is different from the others in this list:

cigar, calmer, sorbet, wined, beeches

Answer:

“beeches” – the other words can be rearranged into known boy’s names: cigar=>Craig, calmer=>Marcel, sorbet=>Osbert, wined=>Edwin. Beeches doesn’t rearrange into a known boy’s name

Today’s Problem:

You know how to use Roman numerals.

If we write CXV = SIX and CMLMI = SEVEN, what is LMXI?