Show:
Logic
Lateral thinking
Reasoning
Word Play
Number and Math
100
Athletes in Place Five athletes were returning from a cross-country race. Athlete C placed third, and athlete E placed second. From the following information, can you tell how athletes A, B, and D placed in the race? Athlete A was not last. Athlete A came in after E. Athlete D was not first.
Since C was third and E was second, A could only be first or fourth. Since A was behind E, A could not be first; therefore A must be fourth. D could not be first, second, third, or fourth, so D must be fifth. If D is fifth, A fourth, C third, and E second, then B must be first.
100
How much dirt is in a round hole that is 9 feet deep with a diameter of 3 feet? (Hint: You don?t have to do any math to get the answer. Just use your head!)
None. You make a hole by digging out the dirt, so the hole is empty
100
A man named George was hurrying to get ready for a dinner party when Dan rang his doorbell. "I'm just rushing off to a dinner party," said George, "but I'm sure it would be fine if you came along." So the two went off together. When they arrived at the party, George, who always enjoyed getting people to use their heads, introduced Dan to the other guests with the following rhyme: "Brothers and sisters have I none, But this man's father is my father's son." How were George and Dan related?
Dan was George's son.
100
Which letter comes next? A C F J O ?
The next letter is U. The series moves forward by skipping 1 letter of the alphabet and then 2 letters and then 3 and so on.
100
If a certain brand of ice cream is 99% fat-free, how many cups would I have to eat to ingest the same amount of fat that would be in 1 cup of regular ice cream?
100 cups. The ice cream that is 99% fat-free contains 1% of the amount of fat that would be in normal ice cream. Normal ice cream, of course, contains 100% of the amount of fat in normal ice cream. 100 divided by 1=100.
200
Cindy, Andy, and Mia, were all over at Keith's house when a package was delivered. Each child guessed what was in the box, but only one of them was right. Using their guesses as clues, can you figure out what was in the box? Cindy said, "It's a laptop computer." Andy said, "I'll bet it's a pizza." Mia said, "I think a picture or a laptop computer is in the box." "It's a picture, for sure," said Keith. A pizza was in the box.
Right away, you can tell that Mia can't be right, because if she is, then Keith would also be right (they both said picture), and no more than one child can be right. And since Mia is wrong, then Cindy is wrong, too, because they both said laptop computer. That means that Andy is correct ? it's a pizza.
200
How can you throw a ball as hard as you can and have it come back to you, even if it doesn't hit anything, there is nothing attached to it, and no one else catches or throws it?
Throw the ball straight up in the air.
200
If you ripped the following pages out of a book, how many separate sheets of paper would you remove? The page numbers are 4, 5, 24, 47, and 48.
You would have four sheets of paper. The odd pages of a book are on the right side, and the even pages are on the left. Therefore, pages 47 and 48 are opposite sides of the same sheet of paper
200
For each of the following four words, come up with another English word that uses all THE SAME letters but in a different order. The four words you come up with will rhyme with one another. ONSET NEWS WRONG HORNET
STONE SEWN GROWN THRONE
200
The missing number is 76. Beginning with the third number in the sequence, each number is the sum of the two preceding numbers.
What is the number missing from the following sequence? 4 7 11 18 29 47 ____ 123 199 322
300
No, the third statement does not follow logically from the first two. If you replace the word "dancers" with the word "cats," and the words "rocket scientists" with the word "dogs," you will see more easily why not: All cats are graceful. Some dogs are graceful. Some dogs are cats. Even if the members of two groups share a common characteristics, it is still possible that none of the members of one group is also a member of the other.
Does the third statement follow logically from the first two statements? Explain why or why not. Statement 1: All dancers are graceful. Statement 2: Some rocket scientists are graceful. Statement 3: Therefore, some rocket scientists are dancers.
300
Train A and train B are crossing the country, from coast to coast, over 3,000 miles of railroad track. Train A is going from east to west at 80 miles per hour, and Train B is going from west to east at 90 miles per hour. Which train will be closer to the west coast when they meet? (Hint: You don?t have to do any math to get the answer. Just use your head!)
When the trains meet, they will be at exactly the same point. Therefore, they will each be the same distance from the west coast.
300
If there are 196 legs and 126 eyes at the dog show, how many people and how many dogs are present? (All the people and all the dogs at the show have the normal number of eyes and legs.)
There are 28 people and 35 dogs. First, since dogs and people both have 2 eyes, divide 126 by 2. There are 63 at the dog show. You know that dogs have two more legs than humans. There are 70 more legs than eyes. Half of 70 is 35. Subtract 63-35=28. So there could be 35 dogs and 28 people. (or 28 dogs and 35 people) To check if there are 35 dogs, multiply 4x35=140 then add 28x2=56 for the number of human legs. 140+56=196.
300
If AGMOLIE means LEOPARD in a certain code, what are the animals listed below? EMX QLN FLTZNGI XRILWWG WALTRSXM Now write the following animals names in the same code: LION, GORILLA, OSTRICH
DOG CAT HAMSTER GIRAFFE FLAMINGO ARMS, XMIRAAL, MZNIRQF Make a chart with all the letters of the alphabet in one column. Those will be the code letters. From the code spelling of LEOPARD, fill in the correct letters for all the code letters you can. Then start figuring out the other code animals in order, filling in more letters on the chart as you go along. (You may have to do a little guessing.) By the time you get to WALTRSXM (FLAMINGO), you'll have every letter you need. Then simply use your chart to write the additional three animal names in the same code.
300
Marta distributed 100 marbles among five bags. Bag #1 and Bag #2 together contain 52 marbles. Bag #2 and Bag #3 together contain 43 marbles. Bag #3 and Bag #4 together contain 34 marbles. Bag #4 and Bag #5 together contain 30 marbles. How many marbles are there in each bag?
Bags #1, #2, #4, and #5 together contain 82 marbles. Therefore, Bag #3 must contain 18 marbles. With that piece of information, you can figure out how many marbles the other bags contain: You know Bag #2 and Bag #3 = 43 marbles; you know Bag #3 = 18 marbles; therefore, Bag #2 contains 25 marbles. You know that Bag #1 and Bag #2 = 52 marbles; therefore, Bag #1 contains 27. You know Bag #3 and Bag #4 = 34 marbles; you know Bag #3 = 18 marbles; therefore, Bag #4 contains 16 marbles. You know that Bag # 4 and Bag #5 = 30 marbles; you know that Bag #4 contains 16 marbles; therefore, Bag #5 contains 14 marbles.
400
The three little pigs, as you know, built houses ? one of straw, one of sticks, and one of bricks. By reading the six clues, figure out which pig built each house, the size of each house, and the town in which each house was located. Use a chart to keep track of your information and your logic. TOWN SIZE MATERIAL Patricia Pig Penny Pig Peter Pig Penny Pig did not build a brick house. The straw house was not medium sized. Peter's house was made of sticks, and it was neither medium nor small. Patricia Pig built her house in Pleasantville. The house in Hillsdale was large. One house was in a town called Riverview.
TOWN SIZE MATERIAL Patricia Pig Pleasantville medium brick Penny Pig Riverview small straw Peter Pig Hillsdale large sticks
400
The rope ladder of a boat hangs over the side of the boat and just reaches the water. Its rungs are 8 inches apart. How many rungs will be under the water when the tide rises 4 feet?
When the tide rises 4 feet, the boat and its ladder will also rise. So no rungs will be under the water.
400
The dog named Jam is heavier than the dog named Jelly. Copper weighs more than Brandy but less than Pumpkin. Brandy weighs more than Jelly. Pumpkin weighs less than Jam. List the dogs in the order of their weights, starting with the heaviest.
the heaviest dog is Jam, the next heaviest is Pumpkin, the next heaviest is Copper, the next heaviest is Brandy, and the least heavy (or the lightest) is Jelly.
400
Jared sent his cousin a postcard from the lake where he was vacationing with his family. Instead of directly telling his cousin the size of the fish he caught, he wrote a puzzle: The fish's head was 5 inches long. The fish's tail was the length of the head plus half the length of the fish's body. The body equaled the length of the head plus the length of the tail. What was the total length of the fish?
The fish was 40 inches long: Its head was 5 inches long; its tail was 15 inches; its body was 20 inches.
400
Jill brought home a poster from her trip. She had paid $25 for it. Liu saw the poster and gave Jill $35 for it. A few days later, Jill bought the poster back for $45. Then she sold it again, this time to her cousin Allie for $55. Did Jill make money on her transactions, or lose money?
Add up all the money that Jill spent ? $25 and $45 for a total of $70. Then add up all the money Jill got for the poster ? $35 and $55 for a total of $90. Jill came out ahead by $20.
500
Five friends play together in a band. Each one plays a different instrument. The instruments they play are saxophone, trumpet, clarinet, flute, and drums. Their names are Rosa, Kim, Julie, Keith, and Lily. Can you figure out who plays which instrument from the following four clues? Rosa plays the sax. Kim does not play a wind instrument. Julie does not play the flute or the clarinet. Keith's instrument is held sideways when it is played.
Rosa -saxophone Kim - drums Julie -trumpet Lily -clarinet Keith -flute
500
Regina left her home base one afternoon. She turned to the right and started running straight ahead. Then she turned to her left, ran, turned to her left again, ran, turned to her left one more time, and ran even faster. She headed for home. Then she saw a masked boy waiting for her. Who was he?
The masked boy was the catcher. Regina played on a baseball team.
500
The message below is written in code. Each letter of the alphabet is represented by a sign and a number. The words are separated by lines like this: ___. See if you can break the code and read the message. This is a catchy one, so here are two hints: Hint 1: Do the signs look familiar? Think about where you?ve seen them. That?s the key. Hint 2: Notice that the only numbers that appear in the code are 1, 2, and 3. They stand for rows?row 1, row 2, and row 3. (To get you started, ^1 stands for Y, ^2 stands for H, and ^3 stands for N.) (2 (1 (1 *2 ___ $2 (1 $1 ___ %1 ^2 #1 @2 #1 ___@2 *1 %2 ^3 @2 ___(1 ^3 ___ ^1 (1 &1 $1 ___ #3 (1 &3 )1 &1 %1 #1 $1 ___ *2 #1 ^1 %3 (1 !2 $1 #2.
The answer is: Look for these signs on your computer keyboard. And that?s also the key to the code. !2 stands for the letter A because A is down two rows (going diagonally from left to right) from the exclamation point on your keyboard. !1 would stand for the letter Q, and !3 would stand for the letter Z. Here is the whole code: !1 = Q; !2 = A; !3 = Z @1 = W; @2 = S; @3 = X #1 = E; #2 = D; #3 = C $1 = R; $2 = F; $3 = V %1 = T; %2 = G; %3 = B ^1 = Y; ^2 = H; ^3 = N &1 = U; &2 = J; &3 = M *1 = I; *2 = K; (1 = O; (2 = L )1 = P
500
Figure out the six-letter word that completes the title of this puzzle. You'll find all six letters by solving the sentences below. This letter is incableandbabebut not intread. This letter is inironyandtrainbut not innimble. This letter is inavocadoandvacantbut not invisit. This letter is inchairandrailbut not incamera. This letter is innightandthinkerbut not inthick. This letter is inxylophoneandyellowbut not inallowance. What is the six-letter word that you uncovered?
b r a i n y
500
What is the number missing from the following sequence? By figuring out the relationship of these watch settings to one another, you should be able to determine what time will show up on Watch E. WATCH A 5:23 WATCH B 8:26 WATCH C 12:30 WATCH D 5:35 WATCH E ______
The hours move ahead 3, 4, and 5 hours. The minutes move ahead 3, 4, and 5 minutes. The time WATCH E will show is 11:41, 6 hours and 6 minutes beyond 5:35.