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Aptitude Questions : Trignometry Interview Question

Difficulty Popularity

Fill the blank
(sec8x - 1) / (sec4x - 1) = tan8x/______

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Aptitude Questions : Pirates Probability Brain Teaser

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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 : Hard Ten Boxes Interview Puzzle

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You have ten boxes and an electronic weighing machine. In those ten boxes, you have chocolates. Each chocolate weigh 20 grams. But in one box the chocolates are defective and each weigh 19 grams exactly.

Now you can weigh in the electronic weighing machine but you can use that machine just once. How will you find out which box has the defected chocolates.

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Aptitude Questions : Crossing Bridge Brain Teaser

Difficulty Popularity

Four friends need to cross a dangerous bridge at night. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. The bridge is only strong enough to support two people at a time. Not all people take the same time to cross the bridge. Times for each person: 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the bridge?

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Aptitude Questions : Spatial Trivia Physics Puzzle

Difficulty Popularity

As shown in picture, there are four gears with the following specification
* Gear A has 60 teeth
* Gear B has 40 teeth
* Gear C has 20 teeth
* Gear D has 60 teeth
* Every minute, Gear B makes 15 complete turns.

What is the relative speed of Gear A and Gear B?

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Aptitude Questions : Popular Interview Problem

Difficulty Popularity

I have two rectangular bars.

They have property such that when you light the fire from one end , it will take exactly 60 seconds to get completely burn.
However they do not burn at consistent speed (i.e it might be possible that 40 percent burn in 55 seconds and next 60 percent can burn in 10 seconds).

Problem is : How do you measure 45 seconds ?

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Aptitude Questions : Classic Lateral Thinking Problem

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There are two glasses in front of you. One of the glasses is full of coke and the other glass is full of lemonade. You take a spoonful of coke and mix it into the glass of lemonade. Now the lemonade glass has a mixture of coke and lemonade. You take a spoonful of that mixture and mix it inside the coke glass.

Now what do you think? - The glass with coke has more quantity of lemonade or the glass with lemonade have more quantity of coke mixed with it?

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Aptitude Questions : Knockout Matches Logical Problem

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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 : Interesting Bet Puzzle

Difficulty Popularity

In a bowl, there are several chits with distinct numbers on them. You have to choose any two of them at random.

Will you accept the 2 to 1 bet that the numbers will be relatively prime will you accept it?

For instance:
If the numbers you pick are 6 and 13, you lose $1.
If the numbers you pick are 5 and 25, you win $2.

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Aptitude Questions : Logical Arrangement Bonfire Puzzle

Difficulty Popularity

30 classmates went for a bonfire. While sitting around the fire, they decided to play a game. To play it, they divided themselves into 5 teams in a way that there were 5 rows having 7 people each.

How can this arrangement be possible while sitting around the bonfire?

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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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