Photo: flickr: kevin dooley

Pencils down.Hopefully you’ve all thought long and hard (or even better, short and hard) about the answers to the Wall Street brain teasers yesterday.

If you didn’t, no matter, here are the answers anyway (along with the questions in case you missed them). We got most of these questions from IBankingFAQ, a site brilliantly recommended by our sources, so if you have a bone to pick, take it up with them.

Now, on to feeling either totally satisfied or totally crushed.

*Source: Former Wall Street Intern
*

12 quarters / inch x 12 inches / feet x 10 feet room = 1440 quarters

*Source: Former Wall Street Intern*

One contains a job offer, the other two contain rejection letters. You pick one of the envelopes. The interviewer then shows you the contents of one of the other envelopes, which is a rejection letter. The interviewer now gives you the opportunity to switch envelope choices. Should you switch?

*Source: Former M&A analyst/IBankingFAQ*

Originally, you had a 1/3 chance that envelope A contained the offer letter. There was a 2/3 chance that the offer letter was either in envelope B or C. If you stick with envelope A, you still have the same 1/3 chance. Now, the interviewer eliminated one of the envelopes (say, envelope B), which contained a rejection letter. So, by switching to envelope C, you now have a 2/3 chance of getting the offer and you've doubled your chances.

Note that you will often get this same question but referring to playing cards (as in 3-Card Monte) or doors (as in Monte Hall/Let's Make a Deal) instead of envelopes.

*Source: Former M&A analyst/IBankingFAQ*

You are outside the room with 3 switches, each controlling one of the light bulbs. If you can only enter the room one time, how can you determine which switch controls which light bulb?

*Source: Former M&A analyst/IBankingFAQ*

Then turn one of them off (switch B) and enter the room. The bulb that is lit is controlled by switch A. Touch the other two bulbs (they should be off). The one that is still warm is controlled by switch B. The third bulb (off and cold) is controlled by switch C.

*Source: Former M&A analyst/IBankingFAQ*

They have only one flashlight and 17 minutes to get there. The bridge must be crossed with the flashlight and can only support two bankers at a time. The Analyst can cross in 1 minute, the Associate can cross in 2 minutes, the VP can cross in 5 minutes and the MD takes 10 minutes to cross. How can they all make it to the meeting in time?

*Source: Former M&A analyst/IBankingFAQ*

This takes 2 minutes. The Analyst then returns across the bridge with the flashlight taking 1 more minute (3 minutes passed so far). The Analyst gives the flashlight to the VP and the VP and MD cross together taking 10 minutes (13 minutes passed so far). The VP gives the flashlight to the Associate, who recrosses the bridge taking 2 minutes (15 minutes passed so far). The Analyst and Associate now cross the bridge together taking 2 more minutes. Now, all are across the bridge at the meeting in exactly 17 minutes. Note, that instead of investment bankers, you'll often see the same question using members of musical bands (usually either the Beatles or U2).

*Source: Former M&A analyst/IBankingFAQ*

### A car travels a distance of 60 miles at an average speed of 30 mph. How fast would the car have to travel the same 60 mile distance home to average 60 mph over the entire trip?

*Source: Former M&A analyst/IBankingFAQ*

The first leg of the trip covers 60 miles at an average speed of 30 mph. So, this means the car traveled for 2 hours (60/30). In order for the car to average 60 mph over 120 miles, it would have to travel for exactly 2 hours (120/60). Since the car has already traveled for 2 hours, it is impossible for it to average 60 mph over the entire trip.

*Source: Former M&A analyst/IBankingFAQ*

*Source: Former M&A analyst/IBankingFAQ*

The hour-hand has moved 1/4 of the way between 3:00 and 4:00. Therefore 1/4 times 1/12 = 1/48 of the clock. With the clock having 360 degrees, 360/48 = 7.5 degrees.

*Source: Former M&A analyst/IBankingFAQ*

*Source: Former M&A analyst/IBankingFAQ*

Pour the contents of the 5-gallon jug into the 3-gallon jug, leaving 2 gallons of liquid in the 5-gallon jug. Next, dump out the contents of the 3-gallon jug and pour the contents of the 5-gallon jug into the 3-gallon jug. At this point, there are 2 gallons in the 3-gallon jug. Fill up the 5-gallon jug and then pour the contents of the 5-gallon jug into the 3-gallon jug until the 3-gallon jug is full. You will have poured 1 gallon, leaving 4 gallons in the 5-gallon jug.

*Source: Former M&A analyst/IBankingFAQ*

Of the 12 balls, 11 are identical and 1 weighs slightly more. How do you find the heavier ball using the scale only three times?

*Source: Former M&A analyst/IBankingFAQ*

If the scale is equal, then discard those 10 balls and weigh the remaining 2 balls against each other (Second Use of Scale). The heavier ball is the one you are looking for.

If on the first weighing (5 vs 5), one group is heavier, then of the heavier group weigh 2 against 2 (2nd Use of Scale). If they are equal, then the 5th ball from the heavier group (the one not weighed) is the one you are looking for. If one of the groups of 2 balls is heaver, then take the heaver group of 2 balls and weigh them against each other (Third Use of Scale). The heavier ball is the one you are looking for.

*Source: Former M&A analyst/IBankingFAQ*

Of the 12 balls, 11 are identical and **1 weighs EITHER slightly more or less.** How do you find the ball that is different using the scale only three times AND tell if it is heavier or lighter than the others?

*Source: Former M&A analyst/IBankingFAQ*

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