New York City SHSAT 2017

(Marvins-Underground-K-12) #1
YZ is 15 more than XY:

YZ = 20 + 15 = 35


So XZ is:

XY + YZ = XZ


20 + 35 = 55


C


If you’re looking for the least value and you’re Backsolving, start with the smallest value.

This is the first answer choice that produces an integer.

This also works out to be an integer, but it is not the smallest.

55.


(A)


(B)


(C)


(D)


(E)


F


This question involves percents—a sign that you can Pick Numbers. Remember, numbers don’t have to be realistic, just easy
to work with (as long as they obey any restrictions in the question stem).

Say the house originally cost $100. If its value rises by 20 percent, it will increase by 0.20($100) = $20 and the new value
will be $120. The ratio of the increase to the new value is 20:120, or 1:6.

56.


57. B

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