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Welcome | Brainstellar - Puzzles from Quant Interviews

Brainstellar - Puzzles From Quant interview: This is a placement preparation portal and a forum for discussing the most interesting puzzles asked by the highest paying companies.Easy Puzzles, MEdium Puzzles, Hard Puzzles, Discrete maths, Probability Puzzles, Quant Puzzles, CSE Puzzles, CSE Blog, Tech interview, vseth iitk

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Welcome | Brainstellar - Puzzles from Quant Interviews | brainstellar.com Reviews

https://brainstellar.com

Brainstellar - Puzzles From Quant interview: This is a placement preparation portal and a forum for discussing the most interesting puzzles asked by the highest paying companies.Easy Puzzles, MEdium Puzzles, Hard Puzzles, Discrete maths, Probability Puzzles, Quant Puzzles, CSE Puzzles, CSE Blog, Tech interview, vseth iitk

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Rolling the bullet | general puzzles | Brainstellar - Puzzles from Quant Interviews

http://www.brainstellar.com/puzzles/general/1

There is a light bulb inside a room and four switches outside. All switches are currently at off state and only one switch controls the light bulb. You may turn any number of switches on or off any number of times you want. How many times do you need to go into the room to figure out which switch controls the light bulb? A lighted bulb also emits heat, and gets hot slowly (not instantaneously! On and hot - switch 1 controls it. Off but hot - 2. On but cool - 3. Off and cool - 4. The Plane in the Wind.

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Welcome | Brainstellar - Puzzles from Quant Interviews

http://www.brainstellar.com/puzzles

You are given an urn with 100 balls (50 black and 50 white). You pick balls from urn one by one without replacements until all the balls are out. A black followed by a white or a white followed by a black is a colour change. Calculate the expected number of colour changes if the balls are being picked randomly from the urn. There are 99 positions. Let X i be a random variable taking value 1 if i th position has a colour change and zero otherwise. We have to find expected value of E[X 1 X 2 . X 99]. Accid...

3

Rolling the bullet | hard puzzles | Brainstellar - Puzzles from Quant Interviews

http://www.brainstellar.com/puzzles/hard/1

Colored Runs of Cards. There are 26 black(B) and 26 red(R) cards in a standard deck. A run is number of blocks of consecutive cards of the same color. For example, a sequence RRRRBBBRBRB of only 11 cards has 6 runs; namely, RRRR, BBB, R, B, R, B. Find the expected number of runs in a shuffled deck of cards. We form the answer for general deck of 2n cards, with n red cards and n black cards. Consider any sequence X1,X2.X2n (of R and B). Now define Y1 = 1;. Yi = 1 if Xi and X(i-1) are of different colors.

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Rolling the bullet | discrete puzzles | Brainstellar - Puzzles from Quant Interviews

http://www.brainstellar.com/puzzles/discrete/1

There are 10 black socks and 10 white socks (no left-right distinction) in the wardrobe. Your task is to draw the minimum number of socks at random to be sure you have a pair of a single color. How many socks should you draw? Disable Facebook Comments and Like button. Assuming that temperature varies continuously, prove that there are always two opposite points on the Earth's surface that have the same temperature. FunFact: There are uncountable number of such pairs. Here is a video explanation:. A rabbi...

5

Color Switches | Brainstellar - Puzzles from Quant Interviews

http://www.brainstellar.com/puzzles/1020

You are given an urn with 100 balls (50 black and 50 white). You pick balls from urn one by one without replacements until all the balls are out. A black followed by a white or a white followed by a black is a colour change. Calculate the expected number of colour changes if the balls are being picked randomly from the urn. There are 99 positions. Let X i be a random variable taking value 1 if i th position has a colour change and zero otherwise. We have to find expected value of E[X 1 X 2 . X 99].

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Welcome | Brainstellar - Puzzles from Quant Interviews

You are given an urn with 100 balls (50 black and 50 white). You pick balls from urn one by one without replacements until all the balls are out. A black followed by a white or a white followed by a black is a colour change. Calculate the expected number of colour changes if the balls are being picked randomly from the urn. There are 99 positions. Let X i be a random variable taking value 1 if i th position has a colour change and zero otherwise. We have to find expected value of E[X 1 X 2 . X 99]. Accid...

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