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Two mathematicians Steven and James were sitting face to face when Steven came up with an idea in mind. He scribbled something on the table and told James to read it. James said that it was wrong. Steven said it is absolutely right.

What would Steven have scribbled to make both of them correct?

What would Steven have scribbled to make both of them correct?

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There are three bags.The first bag has two blue rocks. The second bag has two red rocks. The third bag has a blue and a red rock. All bags are labeled but all labels are wrong.You are allowed to open one bag, pick one rock at random, see its color and put it back into the bag, without seeing the color of the other rock.

How many such operations are necessary to correctly label the bags ?

How many such operations are necessary to correctly label the bags ?

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You are sitting in front of your interviewer. He gives you three envelopes. One of them contains an offer letter and the other two are empty. You pick up one of them. Now, the interviewer opens up one of the envelope lying on the table and you find out that it is blank.

Now, he gives you a chance to switch your envelope with the one on the table. Would you switch it? Why or why not?

Now, he gives you a chance to switch your envelope with the one on the table. Would you switch it? Why or why not?

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You are in a strange place which is guarded by two guards.One of the guard always say truth while other always lies.You don't know the identity of the two.You can ask only one question to go out from there.

What should you ask?

What should you ask?

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Difficulty Popularity

I was invited on a pet show by a fellow colleague. Since I was a bit busy that day, I sent my brother to the show. When he returned back I asked him about the show. He told me that all except two animals were fishes, all except two animals were cats and all except two entries were dogs.

To his statement I was a bit puzzled and I could not understand how many animals of each kind were present in that pet show. Can you tell me?

To his statement I was a bit puzzled and I could not understand how many animals of each kind were present in that pet show. Can you tell me?

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Removing one from eleven makes it ten and removing one from nine makes it ten.

Is it even possible?

Is it even possible?

Difficulty Popularity

Difficulty Popularity

There are three cars in a racing track. The track is made forming a perfect circle and is quite wide so that at one time, multiple cars can pass through it. The car which is leading is driving at 55 MPH and the slowest car is driving at 45 MPH. The car that is in middle of these two is driving in between the two speeds. For the time being you can say that the distance between the fastest car and the middle car is x miles and it is same between the middle car and the slowest car. Also, x is not equal to 0 or 1.

The car keeps running till the leading car catches up with the slowest car and then every car stops. Given the case, do you think that at any point, the distance between any two pairs will again become x miles?

The car keeps running till the leading car catches up with the slowest car and then every car stops. Given the case, do you think that at any point, the distance between any two pairs will again become x miles?

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You have a rock solid dark chocolate bar of size 2 x 8. You need to break it and get 1 x 1 pieces of that chocolate.

If you can break that bar only along its length or breadth, how many times will you have to break to get the 1 x 1 pieces?

If you can break that bar only along its length or breadth, how many times will you have to break to get the 1 x 1 pieces?

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