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Aptitude Questions : Intel Time Interview Puzzle

Difficulty Popularity

I renovated my bathroom and got myself a new bath tub along with new accessories. I have two taps now - hot one and cold one. The hot tap fills the bath tub faster i.e. in fifteen minutes while it takes eighteen minutes for the cold tap to fill the bath tub.

The drain hole can drain the entirely filled bathtub in ten minutes when the taps are not running.

If I leave both the taps on with the drain plug left out, how long will it take the bath to fill?

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Aptitude Questions : Maths Magic Riddle

Difficulty Popularity

I can prove why 1 = 2

Step1. Lets say y = x
Step2. Multiply through by x xy = x2
Step3. Subtract y2 from each side xy - y2 = x2 - y2
Step4. Factor each side y(x-y) = (x+y)(x-y)
Step5. Divide both sides by (x-y) y = x+y
Step6. Divide both sides by y y/y = x/y + y/y
Step7. And so... 1 = x/y + 1
Step8. Since x=y, x/y = 1 1 = 1 + 1
Step9. And so... 1 = 2

How is this possible ?

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Aptitude Questions : Popular Logical Brain Teaser

Difficulty Popularity

A couple had to take shelter in a hotel for they could not proceed their journey in the rain. Having nothing to do at all, they started playing cards. Suddenly there was a short circuit and the lights went off. The husband inverted the position of 15 cards in the deck (52 cards normal deck) and shuffled the deck.

Now he asked his wife to divide the deck into two different piles which may not be equal but both of them should have equal number of cards facing up. There was no source of light in the room and the wife was unable to see the cards.

For a certain amount of time, she thought and then divided the cards in two piles. To the husband’s astonishment, both of the piles had equal number of cards facing up.

How did she do it?

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Aptitude Questions : Knockout Matches Logical Problem

Difficulty Popularity

Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 100 players took part in that tournament.

How many matches were played?

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Aptitude Questions : Pirates Probability Brain Teaser

Difficulty Popularity

You are stuck with the pirates who might even kill you on board. They give you a chance to survive. There are hundred black rocks and hundred red rocks. There are two empty sacks which are labelled as heads and tails respectively. You have to divide the rocks in two bags as per your wish. Then a fair coin will be flipped. If its heads, you will have to pick a rock on random from the sack labelled heads and if its tails, you will pick up from the tails sack. If you pick up a black rock, you will be freed and if you pick up a red rock, you will be killed.

How will you distribute the rocks so that your chances of survival are the best?

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Aptitude Questions : Best Thinking Brain Teaser Ever

Difficulty Popularity

Three men are living in a desert namely – Alex, Brian and Chris.

Alex hates Chris and thus he decides to kill him. To succeed in his evil intentions, he poison the water supply of Chris. Since they are living in desert, he will have to drink water or he will die of thirst.

Brian is not aware of the actions of Alex and he plans to kill Chris as well. To do this, he killed the water supply of Chris.

Chris dies due to his thirst. Who killed him?

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Aptitude Questions : Difficult Brain Twister

Difficulty Popularity

A strange tradition is followed in an orthodox and undeveloped village. The chief of the village collects taxes from all the males of the village yearly. But it is the method of taking taxes that is interesting.

The taxes paid in the form of grains and every male should pay equal pounds corresponding to his age. In simpler terms, a man aged 10 years will have to pay 10 pounds of grains and a 20 years old will be paying 20 pounds of grain.

The chief stands on a riser containing 7 different weights next to a large 2 pan scale. As per the interesting custom, the chief can only weigh using three of the seven weights.

In such a scenario, can you calculate what must be the weights of the seven weights each and who is the oldest man the chief can measure using those weights?

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Aptitude Questions : Unique Brain Teaser

Difficulty Popularity

It takes ten minutes to fry a steak (five minutes for each side). You are frying the steaks in a pan that can accommodate only two steaks at one time. What is the least amount of time by which you can fry all the three steaks you have?

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Aptitude Questions : Induction Brain Teasers

Difficulty Popularity

Three college toppers are summoned by the inspecting faculty. To identify the best from them, the faculty takes them into a room and places one hat on each of their heads. Now all of them can see the hats on other’s heads but can’t see his own. There are two colored hats – green and red.

Now the faculty announces that he had made sure that the competition is extremely fair to all three of them. He also gives them a hint that at least one of them is wearing a red hat. Now the first one who is able to deduce his own hat color will be awarded the most intelligent student of all award. After a few minutes, one of them raises his hand and is able to deduce the color correctly.

How?

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Aptitude Questions : Hard Logic Puzzle

Difficulty Popularity

A great meeting is held by a great logician where all the other logicians are called upon. The master logician takes them in a room and makes them sit in circle. A hat is placed on each of their heads. Now all of them can see the color of hats others are wearing but can’t see his own. They are told that there different colors of hats.

The master logician explains that a bell will be rung at regular intervals and the moment when a logician knows the color of his hat, he will leave on the next bell. If anyone leaves at the wrong bell, he will be disqualified and sent home.

All of them are assured of one thing that the puzzle will not be impossible for anyone of them. How will they manage the situation?

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Aptitude Questions : Box Ball Logic Problem

Difficulty Popularity

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 ?

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