The Math Beast Challenge Problem of the Week – January 7, 2013
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Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for two free Manhattan Prep GRE Strategy Guides.100 jellybeans were distributed to a group of 9 people such that the 3 people with the most jellybeans have 60 jellybeans among them, and no one has fewer than 5 jellybeans. What is the maximum possible ratio of the number of jellybeans held by the person with the most to number of jellybeans held by the person with the least?
The Math Beast Challenge Problem of the Week – December 17, 2012
Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for two free Manhattan Prep GRE Strategy Guides.
In the figure above, an unshaded circle with diameter x is surrounded by a shaded region with uniform width of 2. For what values of x is the area of the unshaded circle greater than the area of the shaded region?
The Math Beast Challenge Problem of the Week – December 3, 2012
Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for two free Manhattan Prep GRE Strategy Guides.Two cards are drawn consecutively, without replacement, from a deck originally consisting of 4 red and 6 black cards.
Quantity A
The probability that the first card is red
Quantity B
The probability that the second card is red
Manipulating Inequalities and Absolute Value on the GRE
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Most people dislike absolute value, and inequalities can tie us up into knots. Put them together, and we can have some major headaches! Let’s test one out.
Set your timer for 1 minute and 15 seconds for this Quantitative Comparison problem and GO! Read more
The Math Beast Challenge Problem of the Week – November 12, 2012
Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for two free Manhattan Prep GRE Strategy Guides.A perfect square is an integer whose square root is an integer.
Quantity A
The average (arithmetic mean) of the first 100 positive perfect squares.
Quantity B
The median of the first 100 positive perfect squares.
The Math Beast Challenge Problem of the Week – November 5, 2012
Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for two free Manhattan Prep GRE Strategy Guides.Set A consists of 350 consecutive multiples of 2. Set B consists of 200 consecutive multiples of 3. The median of Set A is 199.5 greater than the median of Set B.
Quantity A
The 30th percentile of Set A
Quantity B
The 70th percentile of Set B
The Math Beast Challenge Problem of the Week – October 22, 2012
Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for two free Manhattan Prep GRE Strategy Guides.If
, which of the following could be true about the reciprocals of a, b, c, and d?
, which of the following could be true about the reciprocals of a, b, c, and d?The Math Beast Challenge Problem of the Week – October 15, 2012
Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for two free Manhattan Prep GRE Strategy Guides.To serve as team coach, 1 person is to be selected from among the people in Set A.
The 9 team players are to be selected from among the people in Set B, which has at least that many people.
There are 5 times as many different teams possible as there are different coaches possible.Quantity A
The number of people in Set A.
Quantity B
The number of people in Set B.
The Math Beast Challenge Problem of the Week – September 24, 2012
Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for two free Manhattan Prep GRE Strategy Guides.Of three possible events, event A is independent of each of the other two, and events B and C are mutually exclusive. The probabilities that the individual events A, B, and C will occur are 0.2, 0.3, and 0.6, respectively. What is the probability that none of the three events will occur?
The Math Beast Challenge Problem of the Week – September 17, 2012
Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for two free Manhattan Prep GRE Strategy Guides.Two stores usually charge the same regular price for identical jars of peanut butter. This week, Store A is offering the jars of peanut butter for 10% less than regular price, and Store B is offering 6 jars of peanut butter for the regular price of 5. If 6 jars of peanut butter cost a total of $1.18 less at Store B than at Store A this week, what is the regular price of a jar of peanut butter?