(C).
Divide 617 by 49 with the calculator to get 12.5918…. The
tens
digit
is 1. The
tenths
digit is 5. The answer is 1 + 5 = 6.
15.
(B).
Calculating the number of days in each quantity would be time-
consuming; each date range includes a lot of days! Instead, a faster approach
is to compare the starting and ending dates for the two quantities.
Quantity A: The number of days between May 30, 1917 and May 15, 1996,
inclusive.
Quantity B: The number of days between May 15, 1912 and May 30, 1991,
inclusive.
All of the start and end dates are in May, but both the starting and ending
years in Quantity B are 5 years earlier than those in Quantity A. Thus, the
approximate whole number of years in both ranges is the same (about 79
years). However, the range in Quantity A starts later in the month and ends
earlier in the month than the range in Quantity B. Both differences mean that
Quantity B includes a greater number of days.
Alternatively, consider the following: the date range in Quantity A is about
half a month less than 79 years, while the date range in Quantity B is about
half a month greater than 79 years. Quantity B is greater.
16.
(A).
At Alfred’s, an order of 7 single cups of coffee would cost 6($2.60) =
$15.60, because the 7th cup is free.
At Boris’s, an order of 7 single cups of coffee would receive the 15%
discount: 7($2.60)(0.85) = $15.47.
Alternatively, because the non-discounted price of a single coffee ($2.60) and
the number of single cups of coffee ordered is common to both quantities, an
actual cost calculation is optional. Instead, you could compare the discounts
in percent terms. At Alfred’s, “buy six drinks get one free” means that, for
every seven drinks you purchase, the last one is free. That’s one in seven
drinks free, or
off, which is about
= 14.29% off. This is
smaller than the 15% discount at Boris’s, so the total cost at Alfred’s is
greater. By the way, remember to pick the greater quantity (Quantity A), not
the “better deal”!
17.
(C).
A tower that was 70 crowns tall was 70 crowns × 10 inches/crown =
700 inches tall. This same 700-inch tower, measured in scepters, would be
= 50 scepters tall. Also, note that since the scepter is
longer than the crown in absolute terms, fewer scepters will “fit” in the height
of the tower, so any choices 70 or greater could be eliminated right away.
18.
$99.
To maximize the last employee’s contribution, minimize everyone
else’s. If 15 employees could have donated a minimum of $12 and 9
employees could have donated a minimum of $19:
15(12) + 9(19) = 180 + 171 = 351
So, the minimum that all 24 of these employees could have given is $351.
Therefore, the maximum that the 25th employee could have given is 450 –
351 = 99, or $99.
19.
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