Articles tagged "challenge problem"

The Math Beast Challenge Problem of the Week – February 6th, 2012

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Math BeastEach 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.

x, y, and z are three consecutive multiples of 3 such that x < y < z.

Quantity A Quantity B
The remainder when the sum of x + 1, y “ 2, and z + 3 is divided by 9
2

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The Math Beast Challenge Problem of the Week – January 16th, 2012

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Math BeastEach 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 Quantity B
x + 5 (x “ 2)2

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The Math Beast Challenge Problem of the Week – January 9th, 2012

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Math BeastEach 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.

Per Serving of: Calories Cost
Snack A 200 $1.70
Snack B 350 $0.60

Choosing from the snacks in the table above, a group consumes 3250 calories of snacks that cost a total of $11.

Quantity A Quantity B
The number of servings of Snack A the group consumed 4

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The Math Beast Challenge Problem of the Week – January 2nd, 2012

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Math BeastEach 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.

challenge problem image 1

challenge problem image 2

The pharmaceutical division’s interest on debt expense is 4 times that of the chemical division. What percent of the chemical division’s payroll expense is the pharmaceutical division’s payroll expense, rounded to the nearest whole percent?

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The Math Beast Challenge Problem of the Week – December 19th, 2011

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Math BeastEach 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.

challenge problem image 1

challenge problem image 2

If the pharmaceutical division spends $720,000 on legal expenses, and the chemicals division spends between a third and a half as much on legal expenses as the pharmaceuticals division does, which of the following could be the total expenses of the chemical division

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The Math Beast Challenge Problem of the Week – December 5th, 2011

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Math BeastEach 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.

challenge problem image

Quantity A
abc

Quantity B
h(a2+b2)

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The Math Beast Challenge Problem of the Week – November 28th, 2011

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Math BeastEach 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.

Joseph has 8 friends. Some of these 8 friends know each other, as follows: Mary knows Dave and Edgar, who also know each other. Edgar, in addition to knowing Mary, knows Lea, Juan, and Greg, none of whom know each other. If Joseph would like to introduce each of his friends to all of his other friends whom that friend does not already know, how many introductions will Joseph have to make?

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The Math Beast Challenge Problem of the Week – November 14th, 2011

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Math BeastEach 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.

Peopletown’s population increased by x% in 2008 and by 2x% in 2009, where x is a positive integer. By what percent, in terms of x, must the population have decreased in 2010 if the population at the end of 2010 was equal to the population at the end of 2007?

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The Math Beast’s Challenge Problem of the Week – November 7th

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Math BeastEach 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.

circle triangle

In the figure above, a circle is inscribed in a triangle.

Quantity A
The shaded area

Quantity B
The area of the circle

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The Math Beast’s Challenge Problem of the Week – October 24th

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Math BeastEach 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.

This week’s question is below. Get out their scrap paper and start solving!

{8, 10, 11, 16, 20, 22, 25, x}

In the set above, x is an odd integer between 13 and 21, inclusive. Each possible x value is equally probable.

Which of the following statements has the highest probability of being true?

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