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Q32: If m and v are integers, what is the value of m + v? (1) mv = 6 (2) (m + v)^2 = 25

from 1:

if m = 1, v = 6
if m = 2, v = 3
if m = 3, v = 2
if m = 6, v = 1
if m = -1, v = -6
if m = -2, v = -3
if m = -3, v = -2
if m = -6, v = -1. so nsf...

from 2:

if m = 1, v = 4
if m = 2, v = 3
if m = 3, v = 2
if m = 6, v = -1
if m = -1, v = 6
if m = -2, v = -3
if m = -3, v = -2
if m = -6, v = 1. so on............ so nsf.

from 1 and 2:

if m = 2, v = 3.
if m = -2, v = -3.
if m = 3, v = 2.
if m = -3, v = -2. so still NSF.

alternatively:

from 1: mv = 6 ............i

from 2: (m + v) ^2 = 25
m + v = + or - 5.......................ii
so we can different values if we solve eq i and ii.

for Q 32, the answer seems to be E.
I is clearly insufficient as 6*1 and -6*-1 both yield 6.
II is also in sufficient as 3+2 and -3+ -2 both when squared give 25.
when taken together still it is insufficient because 3*2 and -3*-2 both give 6 abd when summed and takeb square both give 25. so both statements taken together dont give a definite answer.
The thing to look closely in this sort of questions is the word INTEGERS. this can reduce the answer options and make a question solvable.

for Q 26. I shall give the answer next week as by then I would have completed cordinate geometery. Just kidding...

Originally posted on MIT Sloan School of Management : We are busy putting the final touches on our application. We plan to have it go live by July 15...