E
First find the absolute value of 16 − 25: 16 − 25 = −9, and the absolute value of a negative number is the same number
without the negative sign. So the left-hand part of the expression is 9. On the right you have Then 25 − 16 = 9, and
you know that the square root of 9 is 3. So the expression becomes 9 + 3 or 12.
37.
H
To round a number off to the nearest hundred, consider the tens digit. If the tens digit is 5 or greater, round the hundreds digit
up 1. If the tens digit is 4 or less, keep the same hundreds digit. Here the tens digit is 5, so round the hundreds digit up to 5. To
the nearest 100, 81,455 is 81,500.
38.
A
This problem is a snap if you remember that a% of b = b% of a. In this case 35% of x = x% of 35, or 7. You could have
solved for x if you didn’t remember this. Percent • whole = part, so and 20% of 35 is 7.
39.
H
In this type of problem, you’re given a rule or definition you’ve never heard before and then asked a question involving the
new rule. In this particular example, you’re given a definition of the term “blue”: A number is “blue” if the sum of its digits is
equal to the product of its digits. To solve this, simply try each answer until you find the one that fits the definition of “blue.”
When you do so, you see that only (H) is “blue,” because 3 + 2 + 1 = 3 • 2 • 1 = 6.
40.
E
This is another invented rule question. This time all you have to do is follow directions. To “fix” −3, you first raise it to the
3rd power: (−3)^3 = −27. Then divide this result by 2: −27 ÷ 2 = −13.5. Next take the absolute value of −13.5, which is just
13.5. Finally, round off this result to the nearest integer: 13.5 rounds up to 14.
41.
H
First figure out what D is. You’re told that D ÷ 15 = 6 with a remainder of 2. This means that D = (15 • 6) + 2. So, D = 90 +
2 , or 92. Now that you know the value of D, just divide it by 6 and see what the remainder is: 92 ÷ 6 = 15 with a remainder
of 2.
42.
C
This is another “follow the instructions” problem. Just replace a with 7 and b with 5. So 7? 5 = (7 + 5)(7 − 5) = (12)(2), or
24.
43.
H
We know that so the greatest integer less than is 11.
44.
C
We know that so just find which choice is NOT less than Choice (C), , reduces to so it is equal to, not
45.
