**Question 31 – “If positive integers….”**

If x and y are both not odd, then at least one of them is even. You could then recnize that an even times another integer is always even.

**Question 32 – “On 3 sales John….”**

OG Explanation is sufficient

**Question 33 – “The annual budget…”**

OG Explanation is sufficient.

**Question 34 – “During a two week period…”**

OG Explanation is fine. Alternatively, you could just pick numbers. For simplicity, set x = $100, End of First Week $125. End of Second week $100 (i.e. $25 is 20% of $125).

**Question 35 – “In a certain pond, 50….”**

OG Explanation is mediocre. Alternative: 2 is 4% of 50. 50 is 4% of what number? (in equations this is 50 = .04(x) Multiply 50 by 100/4 or 25 to get 1250.

**Question 36 – **

OG Explanation is fine. Square Root of 32 simplifies into 4 root 2.

**Question 37 – “An automobile’s gasoline mileage…”**

OG Explanation is sufficient.

**Question 38 – “The organizers of a fair…”**

Alternatively, you could pick numbers. Last year attendance = 100, Projected = 125, Actual = 80 80/125 = 16/25 = 64/100 = 64%

**Question 39 – “What is the ratio of…”**

OG Explanation is fine. Alternatively, compare ¾ to 12/4. Since the denominator is the same, ignore it and notice that 3 is one-fourth 12.

**Question 40 – “If 3-x….”**

OG Explanation is fine.