New York City SHSAT 2017

(Marvins-Underground-K-12) #1
less than, 0.25.

G
The average of a series of consecutive numbers is equal to the middle term. Since 11 is the average of these five consecutive
odd numbers, 11 is the third and middle term. So the five numbers are 7, 9, 11, 13, 15, and 15. The largest number is 15.

46.


B


Pick Numbers to get to the answer quickly. Be sure your numbers follow the rules in the question stem.

Pick numbers. Say r = 2 and s = 3.

47.


2(2 + 3) = 2 × 5 = 10, which is even. But must I be true? Yes, because the product of an even number (r) and anything must
be even, since all odd and even numbers behave consistently. Rule out (A) and (D).

I.


II. 32 − 2 = 9 − 2 = 7, which is odd. Must II be true? Yes, because an odd (s^2 ) minus an even (r) is always odd. Rule out (C).
III. 3(2) + 2(3) = 12, which is not odd. Cannot be true. Eliminate (E) and pick (B).

J
Some questions merely describe a figure instead of drawing it out for you. In those cases you should always provide your
own drawing to make it easier for you to visualize the problem.

Draw the line according to the specifications and see for yourself which statements are true. First, draw X such that it is
between Y and Z.

Then add W such that it is between X and Y.

Looking at the choices:

Only III is true, so (J) is correct. Your figure may not look exactly like this one, but if you followed the specifications in the
question stem, you will get the same results.

48.


I. W is not between X and Z.
II. Y is not between W and X.
III. X is between W and Z.

49. D

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