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Interview Puzzles Practice Set 6

51 / 112

There is a circular field of radius 40cm. Around the circular field, there is a walkway of width 4cm. There is a beehive at a distance of 100cm from the center of the circular field. You are standing at the centre of the circle and suddenly the bee's scattering in all the directions and amongst all bee's there is a bee which can be specifically distinguished which comes inside the circular field (at t=0) in and then moves at the constant rate of 10cm/s in a path like this:

Black boundary represents the circular field and the red path represents the trajectory of the bee.

Estimate the distance covered by the bee after 2 mins.

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**Asked In :**Infosys52 / 112

There is a building of 100 floors

-If an egg drops from the Nth floor or above it will break.

-If it's dropped from any floor below, it will not break.

You're given 2 eggs.

Find N

How many drops you need to make?

*What strategy should you adopt to minimize the number egg drops it takes to find the solution?*

No Best Answer on this question yet!

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53 / 112

A mountain goat attempts to scale a cliff 100 feet high. Every minute, the goat bounds upward three feet but slips back two. How long does it take for the goat to touch the top of the mountain?

54 / 112

## Blind Man and Cards

A blind-folded man is handed a deck of 52 cards and told that exactly 10 of these cards are facing up. How can he divide the cards into two sets with each set having the same number of cards facing up?

No Best Answer on this question yet!

**Asked In :**Sapient55 / 112

Consider five holes in a line. One of them is occupied by a fox. Each night, the fox moves to a neighboring hole, either to the left or to the

right. Each morning, you get to inspect a hole of your choice. What strategy would ensure that the fox is eventually caught?

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56 / 112

A blind man has four pills: two red and two blue. The pills are identical in terms of shape, size, texture, weight, smell and so on. Only the colors are different. So the blind man cannot distinguish between a red pill and a blue pill. Now the blind man must consume exactly 1 red pill and 1 blue pill. If he consumes two red pills or two blue pills, he will immediately die. What strategy will enable the blind man to ensure that he consumes exactly one pill of each color?

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57 / 112

Imagine a 3x3x3 wooden cube. How many cuts do we need to break it into twenty-seven 1x1x1 cubes? A cut may go through multiple wooden pieces.

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58 / 112

You are given three piles with 5, 49 and 51 pebbles respectively. Two operations are allowed: (a) merge two piles together or (b) divide a pile with an even number of pebbles into two equal piles. Is there a sequence of operations that would result in 105 piles with one pebble each?

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59 / 112

Peter and Cynthia stand at each end of a straight line segment. Peter sends 50 ants towards Cynthia, one after another. Cynthia sends 20 ants towards Peter. All ants travel along the straight line segment.

Whenever two ants collide, they simply bounce back and start traveling in the opposite direction. How many ants reach Peter and how many reach Cynthia? How many ant collisions take place?

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60 / 112

Rajeev is trapped atop a building 200m high. He has with him a rope 150m long. There is a hook at the top where he stands. Looking down, he notices that midway between him and the ground, at a height of 100m, there is a ledge with another hook. In his pocket lies a Swiss knife. Hmm... how might he be able to come down using the rope, the two hooks, and the Swiss knife?Â

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