CareerCup

there are 81 horses. you need to select the first best 6 horses. Each time only 9 horses can participate. how many minimum no. of races you require

4 people need to cross a bridge.

Person a = 1 min
Person b = 2 min
Person c = 5 min
Person d = 10 min

They have 1 flashlight and need to cross a bridge in the least amount of time. They can only move in pairs.

There are 25 horses and only 5 race tracks. Need to find the fastest horse among them in minimum trials. You dont have any stop watch. Find second fastest also.

You have a folder which has many sub folders, which has many sub folder and it goes on till you find a sub folder having a file which contains a phone number. Identify the file

I applied for the Pricing Quant Internship in Bloomberg and gave the Online Assessment test. I prepared for the Finance and C++ questions but to my very surprise they were all analytical for which I never prepared. Guys if you have applied for the same position please do CAT questions and Reading comprehension.

Think of the 8 vertices of a given cube. You are allowed to join three
vertices to form a triangle. How many such unique acute triangles can you
make ??

There is a circle enclosed in a square,such that it is touching all the four sides of the square. In the top left space between square and the circle, there is a rectangle with length 14 and breadth 7, such that top left corner of the rect is the top-left corner of square and bottom right corner lies on the circumference of the circle. What is the radius of the circle?

There is a 2X4 matrix, in this you are supposed to arrange the numbers from 1-8, so that no consecutive numbers are adjacent(vertically, horizontally and diagonally) to each other. It is possible to do if one keeps on trying it randomly but it can be done with an intelligent approach too. What would that be?

Recently i attended amazon interview. They asked me below question:

How much time it will take to fill up a floppy Disk?

8 ball problem. if given 8 balls with only one ball being a lighter weight and all other 7 being the same weight and given a scale, how will you find the light weight ball. do this in minimum number of steps

Given a matrix (2D array). How would you rotate it 180 degrees? Clue: Swapping rows with columns rotates it by 90 degrees.

There are two poles of equal height 15mts. One cable with length 16mts is hanging between that two poles. The height from center of the cable to earth is 7mts then what is the distance between that two poles.

How to solve this ?

how to crash your system immediately?

How can four employees calculate the average of their salaries without knowing other's salary?

<round 2>
10. How many ZERO s in 100! ?

<round 2>
9. How to check given number is prime or not ?

There are 60 sailors in my galleon,plus half the crew again,how many sailors do we have?

You have 20 barrels of rum,divide by a third and add 10,how many do you have?

A 100-sided die, you get a second chance. Your strategy and expected payoff...

What is the probability of rolling a 10 and an 11 before rolling a 7?

There are 7 coins; One of them is different. Give you a weight and 2 chances to try. Please tell which one is different. (I can't....Sigh. Then he told me the different one is heavier. Then I got the answer.)

Suppose there are 100 lights, which are all off. First round past them, turn all on;
Second round past, turn every other off;
Third round, turn every third on;
vice verse;
Ask the 100 round past, which light will be on?

. There are 3 people on a tower which may collapse due to fire. King(78 kg),Queen(42kg) and Prince(36kg).There is a pulley on the tower with baskets tied to it on both the sides of rope around the pulley. There is a 30kg stone in one of the baskets. There can be two persons or a person and a stone or a person or a stone in the baskets keeping in mind that the weight difference is not more than 6kg else rope would break. You have to bring all the three on ground safely.

I have a lottery ticket. Each of these lottery tickets has a 6 digit number on it. The winning lottery tickets are those whose sum of the first three digits is equal to the sum of the last three digits. How many possible winning tickets are there?
Note: Leading ‘ZEROES’ are counted. So a number like 004103 is a valid winning ticket since 0+0+4 = 1+0+3.

When would a teleportation device not increase the speed of your commute?

<Round 3>
prove that n(n2-1) is div by 24

Note: n is odd and >=3

There are 8 bottles, one has poison. What's the minimum number of rats you need to find the poison bottle in time T, and how? (You get the rats you need all at once, feed them all at the same time, and poison kills them after time T.)

A bag contains 5 coins. Four of them are fair and one has heads on both sides. You randomly pulled one coin from the bag and tossed it 5 times, heads turned up all five times. What is the probability that you toss next time, heads turns up. (All this time you don't know you were tossing a fair coin or not).

I thought about a polynomial whose coefficients are integers and non-negative (its degree can be any non-negative integer and by definition, all exponents are non-negative integers). You can ask me exactly two question about value in any point you want. What is the polynomial?

You have 100 coins, 29 of them are heads, rest are tails. You are BLINDFOLDED. You can reverse any coin. Your task is to divide this 100 coins into two groups in which there will be the same number of heads.