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Aptitude Questions : Popular Maths Sets Interview Problem

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There was an examination in class in which there were two questions asked. If 75% of the students were able to answer the first question correctly, 55% were able to answer the second question correctly and 20% answered both the questions wrong.

What percentage of students answered both the questions correctly?

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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 : Logic Fruits Riddle

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There is a box full of fruits,
all but two are grapes,
all but two are apples,
and all but two are oranges.

How many fruits are in the box ?

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Aptitude Questions : Most Popular Logical Puzzle

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Outside a room there are three light switches. One of switch is connected to a light bulb inside the room.
Each of the three switches can be either 'ON' or 'OFF'.

You are allowed to set each switch the way you want it and then enter the room(note: you can enter the room only once)

Your task is to then determine which switch controls the bulb ??

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Aptitude Questions : Inspector Montalbano Mystery Puzzle

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Before going to work, Inspector Montalbano got into the fight with his wife. After coming back from the work he found out that the police was in the home and his wife had just killed a burglar.
The police told that she killed the burglar in self-defense. She told her husband the story that she heard a doorbell and thought that it was me and as soon as she opened the door, the burglar jumped into her and she was so scared that she killed burglar immediately with the knife. Inspector Montalbano asked the police to arrest her wife for murder conspiracy. Why?

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Aptitude Questions : Candle Trick Teaser Problem

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Husband has prepared for a candle light dinner on the honeymoon for his wife. While they were having the dinner, a strong breeze flew through the open window and four candles out of ten were extinguished. After that, the husband closed the window.

How many candles were left in the end?

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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 : Popular Deductive Logic Problem

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Eight Brothers lives in an old house where there is no electricity and no computers or any any other gadget.

Brother-1: Reading Comics
Brother-2: Playing Chess
Brother-3: Writing
Brother-4: making food for the family
Brother-5: sleeping and snoring
Brother-6: cleaning house
Brother-7: watering the plants


what is Brother-8 doing ?

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Aptitude Questions : Best Thinking Brain Teaser Ever

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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 : Logic Interview Riddle

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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 : 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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