bww wrote:Can someone please give a quick explanation? Thanks.

1)
Month Average Price/Dozen
April $1.26
May $1.20
June $1.08

The table above shows the average (arithm mean) price per dozen of the large grade A eggs sold in a store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June, what was the average price per dozen of the eggs sold over the three-month period?

bww wrote: 2)
If y does not equal 3 and (3x)/y is a prime integer greater than 2, which of the following must be true?

I. x = y
II. y = 1
III. x and y are prime integers

(A) None
(B) I only
(C) II only
(D) III only
(E) I and III

Official answers are D and A, respectively.

Cybermusings wrote:Statement II : Can't be true...If y = 1 and x = 1 then 3x/y becomes a prime integer greater than 2. However, if y = 1 and x = 4, then 3x/y = 3*4 = 12/1 which is not prime
Statement I : Has to be always true ; otherwise 3x/y will not be a prime integer. try substituting any value where x is not equal to y. Hence x = y
Statement III : If x = y then x = y = 1,2,4,5,6 anything; and still 3x/y will be a prime integer greater than 2. Hence III is not true always

So answer is I only

gupta.ansh13 wrote:Let us consider

April $1.26 No of Eggs = 4
May $1.20 6
June $1.08 2

Therefore total no of eggs = 4+6+2=12
Total Price 1.26*4+1.20*6+1.08*2=5.04+7.2+2.16=14.4

Average = 14.4/12=1.2