The Math Beast Challenge Problem of the Week – March 18, 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.
If the radius of the circle above is 3 and point O is the center of the circle, what is the area of triangle ABC?
The Math Beast Challenge Problem of the Week – March 11, 2013
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 a, b, and c are positive integers such that
is an integer, which of the following could be the value of x?
is an integer, which of the following could be the value of x?The Math Beast Challenge Problem of the Week – March 4, 2013
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
, what is the value of x?
, what is the value of x?The Math Beast Challenge Problem of the Week – February 19, 2013
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.Which of the following equations has exactly one solution?
The Math Beast Challenge Problem of the Week – February 11, 2013
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.
Note: Figure not drawn to scale.In the figure above, quadrilateral ABCD is inscribed in a circle and AC is the diameter of the circle.
Quantity A
The perimeter of ABCD
Quantity B
12
The Math Beast Challenge Problem of the Week – February 4, 2013
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 5 liters of water are added to a barrel when it is half full of water, the amount of water in the barrel will increase by
. If x liters of water are then removed from the barrel, the amount of water in the barrel will decrease to
of the capacity of the barrel. What is the value of x?
. If x liters of water are then removed from the barrel, the amount of water in the barrel will decrease to 
of the capacity of the barrel. What is the value of x?The Math Beast Challenge Problem of the Week – January 21, 2013
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.How many of the integers that satisfy the inequality (x + 2)2(x + 3)(x “ 1) ≤ 0 are less than 0?
The Math Beast Challenge Problem of the Week – January 7, 2013
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