If 8m n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Options:
(A) 2m 1
(B) 3m
(C) 6m
(D) m/5
(E) 6m/5

8m - n = p
Add n to both sides:
8m = n + p
Add m to both sides:
9m = n + p + m
Now, divide both sides by 3
3m = (n + p + m)/3 = the average of n, p, and m So the answer is: (B).

What is the % change in the area of a rectangle when its length increases by 60% and its width decreases by 60%?
Options:
(A) 0%
(B) 20% increase
(C) 36% decrease
(D) 1% decrease
(E) Insufficient data

(16/10)*(4/10) = 64/100 of original area
64/100 is a 36% decrease from 100/100 -> So the answer is: (C).

If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 198
(B) 288
(C) 360
(D) 396
(E) 484

I will go with C (pending elements to match is 2^2*3^2*10^1 = 360 So the answer is: (C).

The average height in a group of 4 people is 175 cm. If the average height increased when 2 more people were added to the group, which of the following cannot be the heights of the two new people?
Options:
(A) 179 cm and 172 cm
(B) 181 cm and 169 cm
(C) 173 cm and 178 cm
(D) 176 cm and 176 cm
(E) 174 cm and 177 cm
Denote X as the sum of the heights of the two new people. From the stem it follows that (700+X)6>175. This reduces to X>350. Only the heights from B add up to 350 cm. All other pairs add up to more than 350 cm. So the answer is: (B).