Articles published in Challenge Problems

The Math Beast Challenge Problem of the Week – March 25, 2013

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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.

|a| < |b|

Quantity A

Quantity B

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The Math Beast Challenge Problem of the Week – March 18, 2013

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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.

gre challenge problem

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?

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The Math Beast Challenge Problem of the Week – March 11, 2013

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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.

If ab, and c are positive integers such that  is an integer, which of the following could be the value of x?

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The Math Beast Challenge Problem of the Week – March 4, 2013

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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.

If , what is the value of x?

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The Math Beast Challenge Problem of the Week – February 25, 2013

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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.

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.

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The Math Beast Challenge Problem of the Week – February 19, 2013

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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.

Which of the following equations has exactly one solution?

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The Math Beast Challenge Problem of the Week – February 11, 2013

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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.

gre challenge problem
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

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The Math Beast Challenge Problem of the Week – February 4, 2013

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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.

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?

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The Math Beast Challenge Problem of the Week – January 28, 2013

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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.

gre challenge problem 1

Quantity A

gre challenge problem 1

Quantity B

a + 4b

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The Math Beast Challenge Problem of the Week – January 21, 2013

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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.

How many of the integers that satisfy the inequality (x + 2)2(x + 3)(x “ 1) ≤ 0 are less than 0?

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