The Math Beast Challenge Problem of the Week – July 8, 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 xy ≠0 and y is the arithmetic inverse of x, what is the ratio of
to
?
to 
?The Math Beast Challenge Problem of the Week – June 17, 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 x is a positive integer and the units digit of x2 is 6 and the units digit of (x “ 1)2 is 9, which of the following is the units digit of (x “ 2)3?
The Math Beast Challenge Problem of the Week – June 10, 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.Quantity A
The average of (x “ 1)2 and (x + 3)2
Quantity B
3
The Math Beast Challenge Problem of the Week – June 3, 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.
Quantity A
B2 + 2AD
Quantity B
(A + D)2 “ C2
The Math Beast Challenge Problem of the Week – May 27, 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.For all values, [x] denotes the least integer greater than or equal to x. If -2.5 < x < 1.5, what is the least possible value of [2x] + [x2]?
The Math Beast Challenge Problem of the Week – May 13, 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.Two different children are to be selected at random from a group of 12 students. If the probability that both students selected are girls is greater than
, there must be at least how many girls among the 12 students?
, there must be at least how many girls among the 12 students?The Math Beast Challenge Problem of the Week – May 6, 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.
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?