Quant 2nd Edition – DS Questions 91-100



Question 91 – “In the figure above…”

OG Explanation is fine.

Question 92 – “Is the integer x…”

OG Explanation is fine.

Question 93 – “The table…”

Question 94 – “What is the…”

Question 95 – “If P and Q…”

OG Explanation is fine.   Alternative:  Statement 1 is obviously INSUFFICIENT.   For Statement 2, you could interpret it as follows: the ratio of the [radius of the larger circle] to the [radius of the smaller circle] is 3 to 1.   Because we only have the ratio and not any actual numbers, we can’t figure out the radius of the larger circle.   Statement 2 is INSUFFICIENT.

Combining both statements:

Because the area of a circle involves squaring the radii, the ratio of [the area of the large circle] to the [area of the smaller circle] is 32 to 1   or    9 to 1.    If A is the area of the smaller circle, then from statement 1:  9A+1A=90π.   There is only one possible for A.   Once we know the areas for both circles, we can find the radii of both circles.   Therefore, both statements together are sufficient.

The correct answer is C.

Question 96 – “For all z…”

OG Explanation is fine.

Question 97 – “If Aaron, Lee,…”

OG Explanation is fine.

Question 98 – “Is z less….”

OG Explanation is fine.

Question 99 – “The circular…”

OG Explanation is fine.

Question 100 – “If xy = -6….”

OG Explanation is fine.

When I looked at statement 1, I was thinking:

(x-y)2 =  x2 – 2xy + y2

(x+y)(x-y) = x2 – y2

And maybe I could conclude something with these facts; however, doing so is difficult for this problem.   Remember, don’t be careless! (x-y)2 does NOT equal x2- 2xy -y2.



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