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Can you find the largest six digit number whose square is less than 5,00,000?

Also, the sum of digit of the number is 43.

**category** :
MATHS

Also, the sum of digit of the number is 43.

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Difficulty Popularity

Your friends are coming over to your birthday party. Your mum has bought this delicious giant doughnut for you guys. Unfortunately she had to go somewhere. Now you have to serve all of them including you.

There are a total of nine kids including you. None of you would mind a smaller piece. Can you cut this doughnut into nine pieces in just three straight cuts?

There are a total of nine kids including you. None of you would mind a smaller piece. Can you cut this doughnut into nine pieces in just three straight cuts?

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In the Wild West, you challenge two cowboys - Hunter Jack and Sharp Shooter Leo into a death match. They being better shooter than you readily accept your challenge. But they don't want to waste bullets and thus lay down a certain rules that are accepted by you as well. Here are the rules:

1) Everyone shoot in a given order till only one is left.

2) Everyone shoot only once when his turn arrive.

3) If any one of you is injured, the other two will finish him off together.

4) The worst shooter gets to shoot first (which is you) and the best one shoots at the last.

Now, what tactics will you use if you know that you hit every third shot of yours, Jack hits every second shot and Leo hits every shot?

1) Everyone shoot in a given order till only one is left.

2) Everyone shoot only once when his turn arrive.

3) If any one of you is injured, the other two will finish him off together.

4) The worst shooter gets to shoot first (which is you) and the best one shoots at the last.

Now, what tactics will you use if you know that you hit every third shot of yours, Jack hits every second shot and Leo hits every shot?

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In a recreational activity, you are given four different jars of 2 liters, 4 liters, 6 liters and 8 liters respectively with an unlimited water supply. Then you are asked to measure exactly 5 liters of water using them.

How will you do it?

How will you do it?

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Difficulty Popularity

100 cowboys are standing in a circle and are numbered from number 1 to 100. A deadly game is created in which the first person will shoot the next person (i.e.second person) and then need to pass the gun to the next person (i.e. Third person) and he will shoot the person to the next. This game will continue until one cowboy stays alive.

Which cowboy will survive at the end?

**category** :
LOGIC

Which cowboy will survive at the end?

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A homicide team enters a crime scene where a dead body of a fat old man lies there on the floor with blood oozing out of his head. The victim is holding a gun and a tape recorder lies there by his side. One of the detective picks up the recorder and plays it "I am tired of this life and hence I have decided to relieve myself from the worldly pains". A gunshot follows the message.

The teams starts investigating a murder investigation.

Why?

The teams starts investigating a murder investigation.

Why?

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The digits 0-9(0,1,2,3,4,5,6,7,8,9) can be rearranged into 3628800 distinct 10 digits numbers.

How many of these numbers are prime ?

How many of these numbers are prime ?

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Isaac Newton is stranded on an island covered in forest.

One day, when the wind is blowing from the west, lightning strikes the west end of the island and sets fire to the forest. The fire is very violent, burning everything in its path, and without intervention the fire will burn the whole island, killing the man in the process.

There are cliffs around the island, so he cannot jump off.

How can the Isaac Newton survive the fire? (There are no buckets or any other means to put out the fire)

One day, when the wind is blowing from the west, lightning strikes the west end of the island and sets fire to the forest. The fire is very violent, burning everything in its path, and without intervention the fire will burn the whole island, killing the man in the process.

There are cliffs around the island, so he cannot jump off.

How can the Isaac Newton survive the fire? (There are no buckets or any other means to put out the fire)

Difficulty Popularity

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