Casey buys a bracelet. She pays for the bracelet and pays $0.72 in sales tax. The sales tax rate is 6%.
What is the original price of the bracelet, before tax?
You enter a room and notice a bed. There are 3 dogs, 2 cats, 1 goat, 4 crows, and a goose on the bed. In addition, 3 sparrows are flying around the bed.
How many LEGS are there on the floor?
Most people will think it's 42, but remember, the first person shakes the hand of 6 people. The SECOND person shakes the hand of 5 people, and on and on until the sixth person only shakes one hand. Use this to figure out the answer!
Take two numbers, such that the square of the first, plus the square of the second, shall equal 8; while the first, plus the product of the first and second, shall equal 6. What are the two numbers?
In a recreational activity, you are given four different jars of 2 liters, 4 liters, 6 liters and 8 liters respectively with an unlimited water supply. Then you are asked to measure exactly 5 liters of water using them.
How will you do it?
A man has three daughters. A second, intelligent man, asked him the ages of his daughters. The first man told him that the product of their ages (them all multiplied together,) was 36. After thinking the second man was unable to find the answer and asked for another clue. The first man replies the sum of their ages is equal to his house door number. Still the second man was unable to answer and asked for another clue. The first man told him that his youngest daughter had blue eyes, and suddenly second man gave the correct answer. What were the ages of the first man's 3 children?
Everything the 2 men say here is a clue:
3 daughters, product of their ages is 36, then he gives him an estimate that the second person knows but we do not (the house door number), when the second man needs one more piece of information, the first man tells him the youngest has blue eyes.
So to solve, you want to write down all the 3 numbers whose product is 36, then to find the last hint, knowing that there IS a youngest child...
The ages are 6, 6 and 1.
to solve, you want to write down all the 3 numbers whose product is 36.
1, 1, 36
1, 3, 12
1, 4, 9
1, 2, 18
1, 6, 6
2, 2, 9
2, 3, 6
3, 3, 4
Here's the hardest part, the fact that the doorbell clue was not enough to solve the puzzle means that if we add up each of these options, we get at least two results that are the same, and we need more information to decide which one.
These are
13: 1, 6, 6
13: 2, 2, 9
Then to find the last hint, knowing that there IS a youngest child, means the smallest child doesn't have another sibling in the same age, meaning that 2,2,9 doesn't work, and we are left with 1, 6 and 6.
Mike has some chickens that have been laying him plenty of eggs. He wants to give away his eggs to several of his friends, but he wants to give them all the same number of eggs. He figures out that he needs to give 7 of his friends eggs for them to get the same amount, otherwise there is 1 extra egg left.
What is the least number of eggs he needs for this to be true?
301 eggs.
The number of eggs must be one more than a number that is divisible by 2, 3, 4, 5, and 6 since each of these numbers leave a remainder of 1.
For this to be true one less than the number must be divisible by 5, 4, and 3 (6 is 2*3 and 2 is a factor of 4 so they will automatically be a factor). 5 * 4 * 3 = 60. Then you just must find a multiple of 60 such that 60 * n + 1 is divisible by 7. 61 / 7, 121 / 7, 181 / 7, 241 / 7 all leave remainders but 301 / 7 doesn't.
Take two numbers, such that the square of the first, plus the square of the second, shall equal 8; while the first, plus the product of the first and second, shall equal 6. What are the two numbers?
A magician was boasting one day at how long he could hold his breath under water. His record was 6 minutes. A kid that was listening said, "that's nothing, I can stay under water for 10 minutes using no types of equipment or air pockets!" The magician told the kid if he could do that, he'd give him $10,000. The kid did it and won the money. Can you figure out how?
One evening there was a murder in a house where there lived a married couple with their 2 children - their son and daughter. One of these four people murdered one of the others.
One of the members of the family witnessed the crime.
The other one helped the murderer.
These are the things we know for sure:
1. The witness and the one who helped the murderer were not of the same gender.
2. The oldest person and the witness were not of the same gender.
3. The youngest person and the victim were not of the same gender.
4. The one who helped the murderer was older than the victim.
5. The father was the oldest member of the family.
6. The murderer was not the youngest member of the family.
Who was the murderer?
The mother was the murderer.
We know from fact number three that the youngest person wasn't the victim, and from the fourth fact we know the youngest person wasn't the helper and from fact number six the youngest person was not the killer either. Therefore, the youngest person can only have been the witness. If we make up a chart there are now three possible combinations:
Oldest person (father) H H M
Next to oldest (mother) V M H
Next to youngest (son) M V V
Youngest (daughter) W W W
(H = Helper ; V = Victim ; M = Murderer ; W = Witness)
We can work out from fact number five that the father was the oldest and from fact two that the youngest person must have been the daughter. Therefore the next to the youngest must have been the son and the next to the oldest, the mother!
Walking home one day, you take a short cut along the train tracks. The tracks cross a narrow bridge over a deep gorge. At the point you are 3/8 of the way across the bridge, you hear the train whistle somewhere behind you. You charge across the bridge, and jump off the track as the train is about to run you down. As it happens, if you had gone the other way, you would have reached safety just before being run over as well. If you can run ten miles per hour, how fast is the train moving?
The train is moving at 40 miles per hour.
if there was a dog going towards the train while you go away from it as the whistle blows, he will reach his point when you are 3/4 (6/8) of the way on the bridge, the train will have just reached it. So for the train to cross the bridge at a rate four times yours it will have to be moving 4 times as fast.
8 Meters
If we look at the green bar we see that its real height is 2/3 of its shadow. So that means we need to find 2 shadows length for the red bar, the uninterruped part and the one on the wall. Since we now know the formula for the floor shadow - real height is 2/3 of it - meaning the part that makes that shadow is 4 meters long. Then we have to add the part on the wall which is straight up, it has no formula so we just add those 4 meters on the wall to the 4 meters we got from multiplying 2/3 by 6 meters and we have 4 meters + 4 meters = 8 meterss
A car thief, who had managed to evade the authorities in the past, unknowingly took the automobile that belonged to Detective Anderson. The detective wasted no time and spared no effort in discovering and carefully examining the available clues. He was able to identify four suspects with certainty that one of them was the culprit.
The four make the statements below. From twelve of total statements, six are true and six false.
Suspect A:
1. C and I have met many times before today.
2. B is guilty.
3. The car thief did not know it was the Detective's car.
Suspect B:
1. D did not do it.
2. D's third statement is false.
3. I am innocent.
Suspect C:
1. I have never met A before today.
2. B is not guilty.
3. D knows how to drive.
Suspect D:
1. B's first statement is false.
2. I do not know how to drive.
3. A did it.
Which one is the car thief?
Let's say 6 statements are lies.
A's 1st statement and C's 1st statement negate each other. One of them is a lie.
C's and D's negate each other. One of them is lying. Therefore, there are 4 additional false statements.
Assume A is guilty. If so, A's second statement, B's second statement, and D's first statement are the additional lies.
Assume D is guilty. If so, A's second statement, B's first statement, and D's third statement are lies. This also only makes five false statements. D did not do it.
Assume C did it. If so, A's second statement, D's first and third statements are false. This again, makes only five false statements.
After ruling out suspects A, C and D, B is the culprit. B's third statement, C's second statement, and D's first and third statements are the additional false statements. This adds up to six.
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