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Aptitude Questions : SAS Geometry Interview Question

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We have a right angled triangle with two perpendicular sides as 12 centimeters and 8 centimeters. We want to draw a square inside that triangle.
Now can you find out the largest possible side of the square that can be drawn?
a) 4 centimeters
b) 5 centimeters
c) 4.4 centimeters
d) 5.5 centimeters

Discussion
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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 : Tough River Crossing Riddle

Difficulty Popularity

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 : Classic Lateral Thinking Problem

Difficulty Popularity

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 : Weight Balance Riddle

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You can place weights on both side of weighing balance and you need to measure all weights between 1 and 1000. For example if you have weights 1 and 3,now you can measure 1,3 and 4 like earlier case, and also you can measure 2,by placing 3 on one side and 1 on the side which contain the substance to be weighed. So question again is how many minimum weights and of what denominations you need to measure all weights from 1kg to 1000kg.

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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 : Spot The Difference Christmas Tree Riddle

Difficulty Popularity

Can you spot 5 differences in two Christmas tree below?

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Aptitude Questions : Interview Balls Puzzle

Difficulty Popularity

In a closed jar, there are three strawberry candies, two mango candies and five pineapple candies. You can't see inside the jar. Now, how many toffees you must take out from the jar to make sure that you have one of each flavor?

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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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