New York City SHSAT 2017

(Marvins-Underground-K-12) #1
In Dan and Sonya’s family, there are exactly three children—Betty, George, and Tara—and three grandchildren. George
babysits for Betty’s twin daughters, so you already know that Betty has two out of the three grandchildren. Tara doesn’t
babysit for George’s child, but this tells us that George has the one remaining grandchild and Tara has none—choice (G). Just
to check the wrong answers: (F) and (K) are out because we don’t know whether George’s child is male or female; (H) is out
because Tara may or may not babysit for Betty’s kids. (J) is wrong on numerical grounds—Betty has two of the
grandchildren, and George has the other.

C
This is the first of two sequence problems about Sam’s overloaded bookshelf. Let’s sort through the evidence and use some
diagrams to help reconstruct the situation. We’re told that Sam has seven books total, three of which are history books. At
least one math book separates each history book. Since there are three history books, you can conclude that there must be at
least two math books to fulfill this function. Without even considering the other books, you should picture the shelf looking
something like this: HMHMH. We’re also told that an English book and a social studies book are positioned next to each
other, neither of them touching a math book. In order to fulfill this rule, the English and social studies books must be
positioned on either end of the row. If the English and social studies books were first and second (in either order), the row
would look like this: (SE or ES)HMHMH. This would make the math books numbers 4 and 6 in the sequence—choice (C). If
the English and social studies books were sixth and seventh (in either order), the row would look like this: HMHMH(SE or
ES), which would also make the mathbooks numbers 4 and 6.

13.


F


Given the setup, there are four possible combinations on Sam’s shelf: (SE)HMHMH, (ES)HMHMH, HMHMH(SE), and
HMHMH(ES). Since a history book is book 3 in each case, (F) is the correct answer.

14.


E


Always be on your guard with Logical Reasoning questions. It’s almost automatic to assume here that Tom was supposed to
be on that 6 PM plane, which leads to the conclusion that he missed his flight (C). But how do you know for sure? Tom could
just be coming to the airport to pick someone up, for all you know (which rules out (A) and (D) as well as (C). All that can
be said for sure is that if he didn’t miss his plane, then he was not supposed to be on the flight. (E) is correct.

15.


G


The assumption to avoid is that the younger an employee is, the less money he or she is going to make. There could be older
employees of the firm making less money than the youngest employee, and Matthew could be one of them. It could even be the
case that the youngest employee makes the most money, as far as you know. This eliminates every choice but (G). Since
Matthew and the youngest employee of the firm don’t make the same salary, they can’t be the same person.

16.


D


The words “befit” and “fitful” have the syllable “fit” in common, and their codes have the letter D in common, so D must
represent “fit.” This eliminates choices (A) and (E). “Mis” only appears in “misuse,” which is MP. You can tell that the P
must stand for “use” because “misuse” and “useful” have only the syllable “use” and the letter P in common. Therefore, M
represents “mis.” “Misfit” would be MD or DM (the order doesn’t matter).

17.

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