GMAT Math Pro http://gmatmathpro.com Make It Happen Sat, 11 Aug 2012 21:12:49 +0000 en-US hourly 1 http://wordpress.org/?v=3.4.1 Problem of the Day http://gmatmathpro.com/2011/12/20/problem-of-the-day-1220/ http://gmatmathpro.com/2011/12/20/problem-of-the-day-1220/#comments Tue, 20 Dec 2011 14:57:50 +0000 peteackley http://gmatmathpro.com/?p=1250 A high school sells tickets to a basketball game. Adult tickets cost $9 and student tickets cost $5. If n tickets are sold for a total revenue of $927, how many possible values are there for n?

A. 18
B. 19
C. 20
D. 21
E. 22

]]> http://gmatmathpro.com/2011/12/20/problem-of-the-day-1220/feed/ 0 Problem of the Day http://gmatmathpro.com/2011/12/17/problem-of-the-day-1217/ http://gmatmathpro.com/2011/12/17/problem-of-the-day-1217/#comments Sat, 17 Dec 2011 11:00:14 +0000 peteackley http://gmatmathpro.com/?p=1235 The mean of a set of n consecutive positive integers is m_1. One of the integers is removed from the set to create a new set of positive integers with a mean of m_2. Is n even?

(1) m_1=m_2

(2) The least element of the original set of integers is odd.

]]> http://gmatmathpro.com/2011/12/17/problem-of-the-day-1217/feed/ 0 Problem of the Day http://gmatmathpro.com/2011/12/16/problem-of-the-day-1216/ http://gmatmathpro.com/2011/12/16/problem-of-the-day-1216/#comments Fri, 16 Dec 2011 11:00:25 +0000 peteackley http://gmatmathpro.com/?p=1220 What is the sum of the digits of positive integer q?

(1) The sum of the digits of q is an element of the set \{226,313,447,617\}

(2) q=n^3-n for some positive integer n.

]]> http://gmatmathpro.com/2011/12/16/problem-of-the-day-1216/feed/ 0 Problem of the Day http://gmatmathpro.com/2011/12/15/problem-of-the-day-1215/ http://gmatmathpro.com/2011/12/15/problem-of-the-day-1215/#comments Thu, 15 Dec 2011 11:00:24 +0000 peteackley http://gmatmathpro.com/?p=1212 A woman who has two sons enrolled in an elementary school brings a batch of n cookies to the school. Her youngest son is in a class with 10 other students and her oldest son is in a class with 7 other students. If she divides the n cookies evenly among the students in her youngest son’s class there will be 5 left over. If she divides the cookies evenly among the students in her oldest son’s class there will be 7 left over. If she has more than 200 cookies, which of the following is the sum of the digits of the smallest possible value of n?

A. 9
B. 11
C. 13
D. 17
E. 23

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A. 2
B. 2k
C. 8
D. 8k
E.  16

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A. 2592
B. 2718
C. 3142
D. 3654
E. 3660

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(1) x+y=120

(2) z=55

]]> http://gmatmathpro.com/2011/12/10/1176/feed/ 0 Problem of the Day http://gmatmathpro.com/2011/12/09/problem-of-the-day-129/ http://gmatmathpro.com/2011/12/09/problem-of-the-day-129/#comments Fri, 09 Dec 2011 11:00:56 +0000 peteackley http://gmatmathpro.com/?p=1168 If x,y\neq0 and x\sqrt{12}+y\sqrt{51}=\sqrt{z}(2x+y\sqrt{17}), what is the value of z?

A. \sqrt{3}
B. 2
C. 3
D. \sqrt{5}
E.  7

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A. 12
B. 4!3!
C. 7!
D. 4!6^4
E. 12!

]]> http://gmatmathpro.com/2011/12/08/problem-of-the-day-128/feed/ 0 Problem of the Day http://gmatmathpro.com/2011/12/07/problem-of-the-day-127/ http://gmatmathpro.com/2011/12/07/problem-of-the-day-127/#comments Wed, 07 Dec 2011 15:56:12 +0000 peteackley http://gmatmathpro.com/?p=1155 Andy and Bob play a game in which a computer randomly selects two real numbers between 0 and 10. Andy’s score is the sum of the numbers and Bob’s score is one more than the product of the numbers. If the person with the  higher score wins the game, what is the probability that Bob wins?

A. 18%
B. 19%
C. 68%
D. 82%
E. 90%

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