Consider the following explanation for why 1=2: 1. Start out Let y = x 2. Multiply through by x xy = x2 3. Subtract y2 from each side xy - y2 = x2 - y2 4. Factor each side y(x-y) = (x+y)(x-y) 5. Divide both sides by (x-y) y = x+y 6. Divide both sides by y y/y = x/y + y/y 7. And so... 1 = x/y + 1 8. Since x=y, x/y = 1 1 = 1 + 1 8. And so... 1 = 2 How is this possible?
SEE ANSWER
Step 5 is invalid, because we are dividing by (x-y), and since x=y, we are thus dividing by 0. This is an invalid mathematical operation (division by 0), and so by not followinng basic mathematical rules, we are able to get strange results like these.
During the Summer Olympics, a fellow competed in the long jump and out-jumped everybody. He didn't just win the event, he actually broke the world record held for that event. Nobody broke his record for the remainder of the Olympics, and still today his name is in the record books.
However, even though he holds the world record, he never received a medal in the long jump. How did he manage to do so well, but not receive a medal?
Answer:- He was competing in the decathlon. He won the long jump event, but didn't perform very well in the other events. He lost the decathlon, so he didn't receive any medals (even though he hold the world record for long jump).
Five friends have their gardens next to one another, where they grow three kinds of crops: fruits (apple, pear, nut, cherry), vegetables (carrot, parsley, gourd, onion) and flowers (aster, rose, tulip, lily).
They grow 12 different varieties.
Everybody grows exactly 4 different varieties
Each variety is at least in one garden.
Only one variety is in 4 gardens.
Only in one garden are all 3 kinds of crops.
Only in one garden are all 4 varieties of one kind of crops.
Pears are only in the two border gardens.
Paul's garden is in the middle with no lily.
Aster grower doesn't grow vegetables.
Rose grower doesn't grow parsley.
Nuts grower has also gourd and parsley.
In the first garden are apples and cherries.
Only in two gardens are cherries.
Sam has onions and cherries.
Luke grows exactly two kinds of fruit.
Tulips are only in two gardens.
Apples are in a single garden.
Only in one garden next to the Zick's is parsley.
Sam's garden is not on the border.
Hank grows neither vegetables nor asters.
Paul has exactly three kinds of vegetable.
Who has which garden and what is grown where?
Answer:- Hank: pear apple cherry rose
Sam: cherry onion rose tulip
Paul: carrot gourd onion rose
Zick: aster rose tulip lily
Luke: pear nut gourd parsley
Four men were fishing in a boat on the lake. The boat turned over and all four men sank to the bottom of the lake. And yet, not one single man got wet. How is this possible?
Answer:- All of the men were married.
Had at work day and night, it counts the numbers over and over. Although it counts all its life, it never gets past twelve.
Answer:- Clock.
How could the cowboy travel on friday, then sleep two days and then travel back home on friday.
Answer:- If the horse was named Friday.
Hussey has been caught stealing goats, and is brought into court for justice. The judge is his ex-wife Amy Hussey, who wants to show him some sympathy, but the law clearly calls for two shots to be taken at Hussey from close range.
To make things a little better for Hussey, Amy Hussey tells him she will place two bullets into a six-chambered revolver in successive order. She will spin the chamber, close it, and take one shot.
If Hussey is still alive, she will then either take another shot, or spin the chamber again before shooting. Hussey is a bit incredulous that his own ex-wife would carry out the punishment, and a bit sad that she was always such a rule follower.
He steels himself as Amy Hussey loads the chambers, spins the revolver, and pulls the trigger. Whew! It was blank. Then Amy Hussey asks, 'Do you want me to pull the trigger again, or should I spin the chamber a second time before pulling the trigger?'
What should Hussey choose?
Answer:- Hussey should have Amy Hussey pull the trigger again without spinning.
We know that the first chamber Amy Hussey fired was one of the four empty chambers. Since the bullets were placed in consecutive order, one of the empty chambers is followed by a bullet, and the other three empty chambers are followed by another empty chamber. So if Hussey has Amy Hussey pull the trigger again, the probability that a bullet will be fired is 1/4.
If Amy Hussey spins the chamber again, the probability that she shoots Hussey would be 2/6, or 1/3, since there are two possible bullets that would be in firing position out of the six possible chambers that would be in position.
I am a fruit. Remove my first letter, it's a crime. Remove my first and last letter, it's a kind of music. What do you think am I?
Answer:- Grape.
I am a nut with a whole. What am I?
Answer:- Donut.