The Math Beast Challenge Problem of the Week – November 12, 2012
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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.A perfect square is an integer whose square root is an integer.
Quantity A
The average (arithmetic mean) of the first 100 positive perfect squares.
Quantity B
The median of the first 100 positive perfect squares.
The Math Beast Challenge Problem of the Week – November 5, 2012
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.Set A consists of 350 consecutive multiples of 2. Set B consists of 200 consecutive multiples of 3. The median of Set A is 199.5 greater than the median of Set B.
Quantity A
The 30th percentile of Set A
Quantity B
The 70th percentile of Set B
The Math Beast Challenge Problem of the Week – October 22, 2012
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
, which of the following could be true about the reciprocals of a, b, c, and d?
, which of the following could be true about the reciprocals of a, b, c, and d?The Math Beast Challenge Problem of the Week – October 15, 2012
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.To serve as team coach, 1 person is to be selected from among the people in Set A.
The 9 team players are to be selected from among the people in Set B, which has at least that many people.
There are 5 times as many different teams possible as there are different coaches possible.Quantity A
The number of people in Set A.
Quantity B
The number of people in Set B.
The Math Beast Challenge Problem of the Week – September 24, 2012
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.Of three possible events, event A is independent of each of the other two, and events B and C are mutually exclusive. The probabilities that the individual events A, B, and C will occur are 0.2, 0.3, and 0.6, respectively. What is the probability that none of the three events will occur?
The Math Beast Challenge Problem of the Week – September 17, 2012
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 stores usually charge the same regular price for identical jars of peanut butter. This week, Store A is offering the jars of peanut butter for 10% less than regular price, and Store B is offering 6 jars of peanut butter for the regular price of 5. If 6 jars of peanut butter cost a total of $1.18 less at Store B than at Store A this week, what is the regular price of a jar of peanut butter?
The Math Beast Challenge Problem of the Week – September 10, 2012
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.Of three possible events, events A and B are independent, and events B and C are mutually exclusive. The probabilities that the individual events A, B, and C will occur are 0.5, 0.3, and 0.2, respectively. What is the probability that both event A and event C will occur?
The Math Beast Challenge Problem of the Week – August 27th, 2012
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.
At Medville Hospital, Drug X is prescribed only for Condition A and Condition B, which may occur simultaneously in the same patient. Last year, the department recorded the following statistics for prescriptions of Drug X.
Condition Number of Cases
(i.e. Number of patients with the condition)% of cases in which Drug X was prescribed A 4,000 25 B 2,000 80 Which of the following could be the number of Medville Hospital patients for whom Drug X was prescribed last year?
The Math Beast Challenge Problem of the Week – July 2nd, 2012
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 number of different ways all 9 letters in the word TENNESSEE can be arranged.
Quantity B
The number of different ways all 7 letters in the word WYOMING can be arranged.
The Math Beast Challenge Problem of the Week – June 18th, 2012
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.
The 11th grade girls at Stumpville High School have an average GPA of 3.1, and the overall 11th grade average GPA is 3.05. If all of the boys enrolled in Honors Chemistry are in the 11th grade and those boys have an average GPA of 3.8, what is the average GPA of all the 11th grade boys who are not enrolled in Honors Chemistry?