## Articles by Michael Dinerstein

#### Manhattan GMAT Challenge Problem of the Week – 19 May 2010

Welcome back to this week’s Challenge Problem! As always, the problem and solution below were written by one of our fantastic instructors. Each challenge problem [...]

#### Manhattan GMAT Challenge Problem of the Week – 11 May 2010

Welcome back to this week’s Challenge Problem! As always, the problem and solution below were written by one of our fantastic instructors. Each challenge problem [...]

#### Manhattan GMAT Challenge Problem of the Week – 6 May 10

Welcome back to this week’s Challenge Problem! As always, the problem and solution below were written by one of our fantastic instructors. Each [...]

#### Manhattan GMAT Challenge Problem of the Week – 29 Apr 10

For which of the following functions *f*(*x*) is the relation *f*(*f*(*x*)) = *f*(*f*(*f*(*f*(*x*)))) NOT true for at least some values of *x*not equal to zero?

#### Manhattan GMAT Challenge Problem of the Week – 22 Apr 10

Welcome back to this week’s Challenge Problem! As always, the problem and solution below were written by one of our fantastic instructors. Each challenge problem [...]

#### Manhattan GMAT Challenge Problem of the Week – 16 Apr 10

A number of eggs dyed various colors were hidden for an egg hunt. How many eggs in total were hidden?

#### Manhattan GMAT Challenge Problem of the Week – 8 Apr 10

At the beginning of year 1, an investor puts p dollars into an investment whose value increases at a variable rate of [pmath]x_n[/pmath]% per year, where n is an integer ranging from 1 to 3 indicating the year. If 85 < [pmath]x_n[/pmath] < 110 for all n between 1 and 3, inclusive, then at the end of 3 years, the value of the investment must be between

#### Manhattan GMAT Challenge Problem of the Week – 1 Apr 10

If *ab* ≠ 0 and *a* ≠ -3*b*, what is the value of (4*a* + 6*b*)/(*a* + 3*b*)?

#### Manhattan GMAT Challenge Problem of the Week – 25 Mar 10

#### Manhattan GMAT Challenge Problem of the Week – 19 Mar 10

#### Manhattan GMAT Challenge Problem of the Week – 11 Mar 10

#### Manhattan GMAT Challenge Problem of the Week – 4 Mar 10

#### Manhattan GMAT Challenge Problem of the Week – 26 Feb 10

#### Manhattan GMAT Challenge Problem of the Week – 18 Feb 10

Set S consists of 5 values, not necessarily in ascending order: {4, 8, 12, 16, x}. For how many values of x does the mean of set S equal the median of set S?