Ben has 30 pencils in a box. Each of the pencils is one of 5 different colors, and there are 6 pencils of each color. If Ben selects pencils one at a time from the box without being able to see the pencils, what is the minimum number of pencils that he must...
Brain Teasers
Tree Rings
When an old tree was felled, a very thin ring was detected among the oldest rings in the stump. When the width of rings, each corresponding to one year`s growth, was correlated with local rainfall records, it was found, as expected, that thicker rings had...
Speeding in the State
Once again we’re trying to illustrate the brain-teaser-esque nature of GMAT, GRE, SAT, and ACT questions. It tends to be easier to do that with Quantitative questions, but we wanted to illustrate the level of reasoning and critical thinking ability needed...
Infinite Solutions
Select for a and for b values such that the equation x/a=x-b has more than one solution for x. Make only two selections, one in each column. Answer:A=1 and B=0. This is a GMAT question from the Data Insights section and is technically not a brain teaser,...
Measuring Marbles
This month we have another classic-style brain teaser. This one requires some creative problem solving. The answer is a surprisingly small number, so give yourself a chance to work it out and don’t jump right to the answer! You have 9 marbles. 8 have the...
Filling the Tank
Ashley and Cassandra drove their cars along the same route for 400 miles and then stopped at a gasoline station, where each purchased exactly the amount of gasoline needed to fill her car's gasoline tank to capacity. If both cars began with full gasoline...
Between Two Trains
This month we have another classic-style brain teaser. This one requires some math, but as usual, it also requires some clever problem-solving and reasoning! Enjoy! Two trains leave two towns that are 100 miles apart. They travel toward each other at rates...
Who Wins the Race?
As is often the case, this month’s brain teaser has a lot in common with typical, hard GMAT and GRE questions in ways that are explained in the solution to the question. This is another good one! Enjoy! Gary and Barry race in a 50 yard dash. Gary wins by 5...
Birthdays in October
This month, for the first time, we are using an official question from the new version of the GMAT as our monthly “brain teaser”. As anyone who knows the GMAT will be able to tell, it’s indistinguishable from questions that appeared on the “Classic GMAT,”...
A Lot of Letters
My teacher posed the below question to our class on the last day of 5th grade. I remember puzzling over it and needing my father to help me solve it. Don’t cheat. Give yourself a chance. You can do this! What word has 1 n, 1 p, 2 l’s, 4 e’s, and 5 s’s?...
What Color is Your Hat?
Three men, who are not wearing glasses, are placed in a room without mirrors. The men are told to close their eyes and then a hat is placed on each of their heads. The hat is either red or green in color. Once the hats are in place they are told to open...
Giving Away Money
This month is the first time we are introducing an official GRE question as our monthly brain teaser. The below question is yet another example of how reasoning often trumps knowledge on standardized tests and how the questions can sometimes resemble brain...
Drive Time
This month’s brainteaser is very conceptual and therefore does NOT require much time. Give it a try! You leave Atlanta at 8am on Sunday morning and arrive in Detroit at 8pm that same day. You take breaks on the 12 hour journey and you change speeds...
What’s the Word?
This month we come back to a challenge that favors the more “verbally-inclined.” Some of the below are pretty easy and some are hard…see how many you can get: Each phrase below consists of a number and the first initials of words. Supply the missing words to...
Interest Rate
In this month’s “brain teaser,” we present an official GMAT question. While thinking about this question, it’s critical to remember/understand that the GMAT does not allow a calculator on the Quantitative Section, so this question must be able to be solved...
Gallon Containers
This month’s brain teaser is not so bad! Yes, it requires thought (reasoning!), but it is doable. Give it a try! You have a three gallon and a five gallon measuring device. You can fill the containers with water as many times as you like or pour...
1000 Lockers
There are 1000 lockers in a high school with 1000 students. The problem begins with the first student opening all 1000 lockers; next the second student closes lockers 2,4,6,8,10 and so on to locker 1000; the third student changes the state (opens lockers...
Laying Eggs
This month’s brain teaser is on the “easier” side (though it is still a brain teaser: hint, hint). As in previous newsletters, it’s also typical of the type of questions you see on standardized tests, especially the GMAT and GRE: If 4 hens can lay...
Table Numbers
Club X has more than 10 but fewer than 40 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 3 members at one table and 5 members at each of the other...
The Census
A census taker approaches a house and asks the woman who answers the door "How many children do you have, and what are their ages?" The woman says, "I have three children; the product of their ages is 36, and the sum of their ages is equal to the address of...
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