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Aptitude Questions : Maths Count Pastries Question

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A new confectionery shop opened in the general market area yesterday. The shop opened with a daily supply of forty dozen pastries. Half of the pastries were sold by noon and 80% of the remaining ones were sold between noon and the closing time.

How many pastries were left unsold at the time of closing ?

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Aptitude Questions : Measure Water Supply Brain Teaser

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You had an infinite supply of water and a 5 ml and 3 ml gallons.

How would you measure exactly 4 ml in least number of steps ?

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Aptitude Questions : Famous Probability Puzzle

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This is a famous probability puzzle in which you have to choose the correct answer at random from the four options below.
Can you tell us whats the probability of choosing correct answer in this random manner.

1) 1/4
2) 1/2
3) 1
4) 1/4

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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 : Popular Interview Problem

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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 : Logical Interview Problem

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Jonathan has three boxes containing milk chocolates and dark chocolates. The problem is that all of them have been labeled incorrectly as follows.
Box1: Dark Chocolates
Box2: Milk Chocolates
Box3: Dark Chocolates and Milk Chocolates

How will he label all the boxes correctly by just opening one box?

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Aptitude Questions : Logic Birthday Puzzle

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For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 276 books with me to gift her.

Can you calculate, on which day is our anniversary?

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Aptitude Questions : Very Hard Math Question

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There stand nine temples in a row in a holy place. All the nine temples have 100 steps climb. A fellow devotee comes to visit the temples. He drops a Re. 1 coin while climbing each of the 100 steps up. Then he offers half of the money he has in his pocket to the god. After that, he again drops Re. 1 coin while climbing down each of the 100 steps of the temple.

If he repeats the same process at each temple, he is left with no money after climbing down the ninth temple. Can you find out the total money he had with him initially?

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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 : 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 : 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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