Here are few puzzles that will help you to prepare for Interviews.

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__Puzzle 1:__

__Puzzle 1:__

*Puzzle asked in one of Mu Sigma interviews:*

You are standing outside a room which is closed. There are three switches near the door of the room, all of which are off

- There are 3 light bulbs in the room. One bulb for each switch
- The room door is closed and there is no way to find which button corresponds to which bulb
- You are only allowed to go into the room once
- Determine which switch corresponds to which bulb.

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__Puzzle 2:__

*Asked in many MBA interviews.*

*If you thought that the answer is 64, then you are totally wrong.*###
__Puzzle 3:__

Read the conditions & answer the minimum steps to find correct label: - There are 3 boxes with a label on top of each box
- The contents are: one box contains apples, other contains oranges & third contains both apples & oranges
- The labels are thus: A, O, AO
- All labels are misplaced
- What is the minimum number of picks from the box (open the box & see) to correct the labels

*Did you guess 2? If yes, then it’s wrong.*

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**Here**are some more puzzles that will help develop your gray cells.#### Solution 1:

This puzzle needs you to think out of the box. How do you do that? What happens when you touch a light bulb which was kept turned on for some time?- Turn on one light switch for some time and then turn it off
- Turn on another light switch and enter the room
- The bulb which is glowing corresponds to the switch you just turned on
- Touch other light bulb.
- If it's hot then it corresponds to the first switch. If it's cold then it corresponds to the third switch

#### Solution 2:

- There are 64 smaller squares (8×8 of size 1×1) = 64 squares
- 4 1×1 squares form a bigger square - marked red (7×7 of size 2×2) = 49 squares
- Similarly, there are 6×6 of size 3×3 - marked green = 36 squares
- 5×5 of size 4×4 = 25 squares
- 4×4 of size 5×5) = 16 squares
- 3×3 of size 6×6 = 9 squares
- 2×2 of size 7×7 = 4 squares
- 1×1 of 8×8 size = 1 big square (the outline)

**Total**– 64+49+36+25+16+9+4+1 =

__204 squares__
Do you see a pattern here?

All these are squares of 1,2,3,.... So the answer is 8*(8+1)*(2*8+1)/6 - which is sum of squares of first 8 natural numbers.

Read the final statement – “All labels are misplaced” #### Solution 3:

- Open first box, then you can know the correct label for this box
- On the second box, the correct label is one which is not placed on it
- The final label will be the label that’s left
__Hence, only 1 pick is required.__

*Chance to win a Gift Card worth 100 rupees: If you have a better puzzles,*

**send**it to us.