I hope someone has a better way to solve this problem. The book offers a somewhat confusing solution.
Is x/m (m^2 + n^2 + k^2) = xm + yn + zk?
1. z/k = x/m
2. x/m = y/n
Answer is C
Thank you in advance!
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it is clear that each of these statements is not sufficient.
Rest is plain algebra.
x/m = y/n
x/m* n^2 = yn --------- (1)
z/k =x/m
z/k* K^2 = x/m* k2
zk = x/m* k2 -------------(2)
RHS = xm + yn + zk
=(x/m * m^2 )+ n^2. *x/m + x/m *k^2 (from 1 and 2)
= x/m (m^2 + n^2+ k^2)
=LHS
Rest is plain algebra.
x/m = y/n
x/m* n^2 = yn --------- (1)
z/k =x/m
z/k* K^2 = x/m* k2
zk = x/m* k2 -------------(2)
RHS = xm + yn + zk
=(x/m * m^2 )+ n^2. *x/m + x/m *k^2 (from 1 and 2)
= x/m (m^2 + n^2+ k^2)
=LHS
GMATPowerPrep Test1= 740
GMATPowerPrep Test2= 760
Kaplan Diagnostic Test= 700
Kaplan Test1=600
Kalplan Test2=670
Kalplan Test3=570
GMATPowerPrep Test2= 760
Kaplan Diagnostic Test= 700
Kaplan Test1=600
Kalplan Test2=670
Kalplan Test3=570