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Aptitude Questions : Distance Interview Problem

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Peninsula and Queens are two opposite shores of a river. If boat A leaves the Peninsula and boat B leaves Queens at constant speed (however the speeds are not same) they meet at 600m from Peninsula for the first time. While returning back after touching the shores, they meet at 200m from Queens.

What is the distance between Queens and Peninsula ?

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Aptitude Questions : Awesome Probability Logic Riddle

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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 : 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 : Difficult Brain Twister

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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 : Tricky Math Race Riddle

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Rooney, Hernandez, and Robin race each other in a 100 meters race. All of them run at a constant speed throughout the race.

Rooney beats Hernandez by 20 meters.
Hernandez beats Robin by 20 meters.

How many meters does Rooney beat Robin by ?

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Aptitude Questions : Famous Water Jug Problem

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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 : Induction Brain Teasers

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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 : Funny Brain Twister

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We all know that New Year occurs after a week from Christmas and thus it falls on the same day as of Christmas. But this will not happen in 2050. In 2050, Christmas will appear on Sunday while New Year will appear on Saturday.

How can this be possible ?

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Aptitude Questions : Logic Interview Riddle

Difficulty Popularity

prinka and tanu organized a small kitty party at home. They purchased a barrel of fruit juice.

Tanu told to prinka 'I bet this barrel of fruit juice is more than half full'.
'No, its less than half full' prinka replied.

I don't have any measuring instrument and without removing fruit juice from it , how can i determine which of us is right ?

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Aptitude Questions : Fake Coin Brain Teaser

Difficulty Popularity

In front of you, there are 9 coins. They all look absolutely identical, but one of the coins is fake. However, you know that the fake coin is lighter than the rest, and in front of you is a balance scale. What is the least number of weightings you can use to find the counterfeit coin?

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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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