The Math Beast Challenge Problem of the Week – May 6, 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.
Within rectangle ACDF, both ABGH and BCDE are squares, and 3x > y > 2x.
Quantity A
The ratio of the area of ACDF to the area of HGEF
Quantity B
5
The Math Beast Challenge Problem of the Week – Apr 15, 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.Owners of condominiums in a certain community share annual maintenance costs in proportion to their condominium’s share of the total square footage for all community condominiums at the end of the year. In 2011, when total annual maintenance costs were $104,000, the share of these costs for the owner of a 1,000 square foot condominium was $832. In 2012, several new condominiums were added to the community, increasing total annual maintenance costs by $5,000 from the previous year and total development square footage by 3,600 square feet.
In 2012, what was the share of maintenance costs for the owner of the 1,000 square foot condominium?
The Math Beast Challenge Problem of the Week – Apr 8, 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 n is an integer such that (-3)-4n > 36 “ n, which of the following is a possible value of n?
The Math Beast Challenge Problem of the Week – April 1, 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.Keran spent 5 minutes climbing the first
of the stair steps between the ground floor and his office, 5 minutes climbing the next
of the steps, and 5 minutes climbing the remaining steps. If Keran climbed 168 more steps in the first 5 minutes than in the last 5 minutes, what was Keran’s average number of steps per minute for the entire climb?
of the stair steps between the ground floor and his office, 5 minutes climbing the next 
of the steps, and 5 minutes climbing the remaining steps. If Keran climbed 168 more steps in the first 5 minutes than in the last 5 minutes, what was Keran’s average number of steps per minute for the entire climb?The Math Beast Challenge Problem of the Week – March 25, 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.|a| < |b|
Quantity A
Quantity B
The Math Beast Challenge Problem of the Week – March 18, 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 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 25, 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.n > 0 and n2 is an integer.
Quantity A
The remainder when n is divided by 1.
Quantity B
The remainder when
is divided by 1.
is divided by 1.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?