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Aptitude Questions : Find the acute angle Interview Question

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We have a right angled triangle whose square of the hypotenuse is twice as the product of the other two sides.

Which of the following is one of the acute angles of the triangle?
a) 45
b) 30
c) 60
d) 15

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Aptitude Questions : Measuring Time Logic Puzzle

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You are given with two ropes with variable width. However if we start burning both the ropes, they will burn at exactly same time i.e. an hour. The ropes are non-homogeneous in nature. You are asked to measure 45 minutes by using these two ropes.

How can you do it?

Please note that you can’t break the rope in half as it is being clearly stated that the ropes are non-homogeneous in nature.

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Aptitude Questions : Crossing The River In Minimum Time Puzzle

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Four people need to cross a dark river at night.

* They have only one torch and the river is too risky to cross without the torch.
* If all people cross simultaneously then torch light wont be sufficient.
* Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 minutes, 7 minutes and 10 minutes.

What is the shortest time needed for all four of them to cross the river ?

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Aptitude Questions : The Elf Logical Puzzle

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A wicked sorcerer felt enmity towards elf and thus he chooses four among the rest of the elf's and concealed them. The elves are concealed in the ground in a manner that apart from their head the rest of their body was underneath the ground. The elf's are unable to move their body and can only see in that direction that they are facing. All the elf's are concealed underground in such a way that they form a straight line and among those four elf's that are concealed underground one of the elf is detached form the other three elf's via wall. The entire elf's are in the same direction. The elf that is the furthest can only see the heads of its friends in front and a wall. The elf that is second last can only see one head of his friend and a wall. The second elf can only view the wall. The elf can see nothing.
The sorcerer understands the situation and tells the elf's that he has placed hats over their heads. Among the hats places two hat are blue and the other two are red. Among all the four elfs one of the elf has to guess that which colour hat is he wearing. If the elf answers correctly then he shall be set free or else he will have to dig beneath the ground till the very last.

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Aptitude Questions : Box Ball Logic Problem

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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 ?

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Aptitude Questions : Awesome Probability Logic Riddle

Difficulty Popularity

You need to divide 50 marbles(25-red and 25-blue) into two boxes such that the probability of picking red marble is maximized.

Following conditions need to hold true :
1. None of box is empty
2. All the marbles must be in one of two boxes.

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Aptitude Questions : Game Of Dice Brain Teaser

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A unique solo game of dice is being played. Two dices are thrown in each turn and the scores are taken by multiplying the numbers obtained.

Now talking about a particular game, here are the facts:
1) The score for the second roll is five more than the score for the first roll.
2) The score for the third roll is six less than the score for the second roll.
3) The score for the fourth roll is eleven more than the score for the third roll.
4) The score for the fifth roll is eight less than the score for the fourth roll.

Reading the above facts, can you tell the score for each of the five throws?

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Aptitude Questions : Tough River Crossing Riddle

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This one is a bit of tricky river crossing puzzle than you might have solved till now. We have a whole family out on a picnic on one side of the river. The family includes Mother and Father, two sons, two daughters, a maid and a dog. The bridge broke down and all they have is a boat that can take them towards the other side of the river. But there is a condition with the boat. It can hold just two persons at one time (count the dog as one person).

No it does not limit to that and there are other complications. The dog can’t be left without the maid or it will bite the family members. The father can’t be left with daughters without the mother and in the same manner, the mother can’t be left alone with the sons without the father. Also an adult is needed to drive the boat and it can’t drive by itself.

How will all of them reach the other side of the river?

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Aptitude Questions : Tough Two Jug Measuring Puzzle

Difficulty Popularity

I got two jugs of
A) 11 liter
B) 6 liter

How can I measure exactly 9 liters ?

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Aptitude Questions : Famous Water Jug Problem

Difficulty Popularity

You live in Dubai and had an infinite supply of oil and a 5 liters and 3 liters jar,
how would you measure exactly 4 liters (of-course in minimum numbers of step) ?

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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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