**Question 111 – “If k…”**

OG Explanation is fine.

**Question 112 – “What is the greatest…”**

OG Explanation is fine.

**Question 113 – “For all numbers….”**

OG Explanation is fine.

**Question 114 – “Salesperson A’s…”**

OG Explanation is fine. You could also go directly to the answer choices and see which numbers work.

**Question 115 – “The sum….”**

OG Explanation is fine but you could also plug in numbers. Suppose Fred is 2, then Doris is 14 and y=16. 16 years from now, Fred will be 18.

Choice A: 16-6=10

Choice B: 2(16)-6=32-6=26

Choice C: (16/2)-6=8-6=2

Choice D: (48/2)-6=24-6=18

Choice E: (80/2)-6=36

Thus, only Choice D is equal to 18. The answer is D.

**Question 116 – “If a basketball…”**

OG Explanation is fine.

**Question 117 – “If xy>0…”**

OG Explanation is fine.

**Question 118 – “At a certain pizzeria…”**

OG Explanation is fine. Alternatively, suppose there were 24 pizzas (a good number to use here as it is a multiple of 8 and 3). Then, 3 are mushroom pizzas. Of the remaining 21 pizzas: 7 are pepperoni. Thus the number of mushroom pizzas is 3/7 the number of pepperoni pizzas. The answer is B.

**Question 119 – “Two trains, X…”**

OG Explanation is fine. Alternatively, we could realize that X is the slower of the two trains. Since Y is going faster and the two trains leave at the same time, X must travel less than half the total distance when X and Y meet. Thus we can eliminate choice C, D, and E.

Looking at choice B, since Train X travels at 20 miles per hour, it will take 2 hours to travel 40 miles. In two hours, train Y (which is traveling at 33.3333 miles per hour) will have travelled 66.66666 miles and thus would have already passed X. The only remaining answer choice is A.

**Question 120 – “One week….”**

OG Explanation is confusing. It is much easier to plug in numbers. Suppose 18 trucks were rented. 2 trucks sat on the lot the entire week and 9 were returned on or before Saturday morning. This gives us a total of 11 trucks, but we need at least 12. Eliminate A. If 16 trucks were rented, then 4 sat on the lot the entire week and 8 were returned on or before Saturday morning. This gives us a total of 12 trucks. This is the greatest number as we have already eliminated the only answer choice greater than 16 (i.e. answer choice A: 18)