Quant 2nd Edition – PS Questions 111-120

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)


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