#421 - ZS Associates Interview Induction Logic

There is an ancient kingdom where every married women keeps information regarding the fidelity of other men. However what they don't know is the fidelity of their own husbands. Also there is an ancient belief due to which they don't tell each other about the fidelity of their husbands.

On a certain day, the queen of the kingdom declares that she has identified at least one unfaithful man in the kingdom. She allows the wives to identify and gives them authority to kill their husband if they are unfaithful at midnight.

How will the wives manage it?

ZS Associates Interview Induction Logic

Let us begin with the assumption that only one man is unfaithful. In that case everyone except wife of his will know about him. But his wife will know that all other men are unfaithful and on the statement of queen that there is at least one unfaithful man in the kingdom, she will shoot his husband at midnight.

Now assume that there are two unfaithful men in the kingdom. Then their wives will know about one unfaithful man. So they will wait for the midnight. But when nobody will be shot at midnight, they will come to know that there must be more than one unfaithful husband and they will come to know that their husband is also unfaithful. Thus both of them will shoot their husbands at midnight.

Assume that there are three unfaithful husbands. Their wives will know about the two unfaithful men and they will wait for two midnights but when nobody will be shot, they will come to know that there are more than two unfaithful men and they will understand that their own husband is unfaithful. Thus they will shoot their husbands at the third midnight.

Thus for any general case where there are n unfaithful husbands, each of their wives will believe there are n-1 unfaithful husband and will be expecting a shot on the midnight of n-1 day. When they don't hear any gunshot, they will realize that their own husband was the nth.

#422 - Mentor Graphics Logic Interview Puzzle

There are hundred red gems and hundred blue gems. The blue gems are priceless while the red gems equals wastage. You have two sacks one labelled Heads and other Tails. You have to distribute the gems as you want in the two sacks. Then a coin will be flipped and you will be asked to pick up a gem randomly from the corresponding sack.

How will you distribute the gems between the sacks so that the odds of picking a Blue gem is maximum ?

Mentor Graphics Logic Interview Puzzle

All you have to do is put a blue gem in any one of the sack and the other blue gems in the other sack. Doing this will provide you a shade under 3/4 probability of picking up a blue gem.

#423 - Statements Riddle

I travelled to Japan and stopped near a store in order to use the restroom. But the problem was that I could not speak Japanese and thus I was not able to ask which one was for males and which one was for females. I find a person who can understand English but can only speak in Japanese.

I desperately needed to go to the restroom. What two questions did I asked so I could figure with restroom was meant for whom ?

Statements Riddle

The first question I asked was "Is this restroom for men?" while pointing at one of them. I just remembered the word he said. Then I asked "Am I a man?" Now I knew that the second response will mean yes only. Thus I could compare the second response with the first to find out if the restroom I pointed at was correct or not.

If he says the same word, then the restroom I pointed at must be for males only. If he said a different word, the restroom I pointed at will be wrong and for females.

#424 - Logic Statement Puzzle

A journalist was investigating a sacred cult in the jungles of Africa when he was caught by one of the person. He was confined in a cave till the leader arrived. The leader told him that he need to tell him a statement. If he thinks the statement is true, then the journalist head will be chopped off. If he thinks that the statement is false, his head will be smashed with a hammer.

What statement did the journalist make to survive?

Logic Statement Puzzle

The journalist said "My head will be smashed with a hammer".

#425 - Suicide Riddle

A man is found dead. When the investigation is done, he is found dead with a knife in his back. A chair sits beside him and the forensic team finds moisture around the body.

If he committed suicide, how did he do it?

Suicide Riddle

The man used an ice knife. The ice was capable of holding the knife pointing upwards and he dropped down on the chair with his back towards the knife. The moisture indicates the melting of ice.

#426 - Math Figure Puzzle

An exterior architect is asked by a builder to plant seven trees in a manner that there are exactly six rows of trees in a straight line and each row has three trees in particular.

How will he do it?

Math Figure Puzzle

He will plant three trees as the vertices of an equilateral triangle. Now imagine an equilateral triangle. Three more trees will be planted on the center of each of the side of the triangle. The remaining one tree will be planted at the centroid of the hypothetical equilateral triangle.

#427 - Math Logic Problem

In a modern art gallery, an artist has numerous modern art paintings created by him. He hangs different painting on the space provided to him periodically. When the clock hit 11 am, he hung the painting number 30. When it struck 4 pm, he hung the painting number 240 and when it struck 7:30 pm, he hung painting number 315.

Can you determine, which painting number will he hang when the time is 9:20 pm ?

Math Logic Problem

He will hang painting number 200 at that time. Every time he hangs the painting, the number of it corresponds with the angle between the minute and hour hand of the clocks.

#428 - Tricky Maths Puzzle

A train leaves from point A for point B at 80 mph. After half an hour, another train leaves from point B for point A at 60 mph.

Which of the trains will be further from point A when they meet ?

Tricky Maths Puzzle

When the trains meet, they will be approximately be equally distant from point A. Of course if you get into precise details, the train that left from point A will be closer to A by its own length as they are coming from different directions.

#429 - Logic Physics Riddle

Imagine that you have a box which have two cogwheels – one big with 24 teeth and one small with 8 teeth. The big one is firmly attached to the center of the box which means it does not turn or move while the small one rotates around the big one.

How many times do you think that the smaller wheel will turn compared to the box when it turns once around the big one?

Logic Physics Riddle

Three times is the most common answer however that is incorrect.

The small cogwheel will turn around four times.

You might already have deciphered that while turning against each other, the small wheel will turn three times (3*8) as the big wheel turns once (24 teeth). Now what we require is the big wheel to stop and the small one to turn around the big one. In this process, the small one will make another full turn on the way around the big one. Thus in total, it will make four turns.

#430 - IAS level question

Suppose you are a girl candidate and sitting in an interview. Suddenly the interviewer asks you, 'What if one morning you wake up and find out that you are pregnant?

How will you reply to such a question ?

IAS level question

Normally, a single or unmarried girl might feel shocked with such a question. But if you are smart, you can answer, 'I will be quite excited and will ask you for an off to celebrate with my husband.'

Since the question is hypothetical, you don't have to take it in wrong manner and you can answer in the same hypothetical manner as well.