I wish you had provided an OA. However here goes my attempt. Solving this from scratch will be long so following a couple of methods. My first instinct is (E). Because the radius most likely is a factor of a multiple of 8. so 32/X looks the part. This is purely a guess. Now some logic: From the diag...

My bad, I have edited the solution.

(1) 30 ≤ N ≤ 40

(2) 27 ≤ N ≤ 35

Combined range should be an intersection of the two : 30<=N<=35

If F is the prime factorization of N!, how many factors in F have an exponent of 1? (1) 30 ≤ N ≤ 40 (2) 27 ≤ N ≤ 35 Source: Magoosh OA: E Lets understand what the question is asking with a simple example: If N=6. N! = 6! = 6*5*4*3*2*1. Prime factorization for this would look something like:...

If x+2y=a , and x-2y=b, which of the following is an expression for xy? A)2(a+b/a-b) b)2(a-b/a+b) c)1 d)non Need to point out that usually there are 5 choices in the test. None is usually (E). Also double check if the question asks xy or x/y. x+2y = a x-2y = b Add equations: ==> x=(a+b)/2 Subtract ...