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24. The correct answer is (B).
25. The correct answer is (C). Here is a problem for which I would go directly to the alternative attack
strategy. Instead of trying to figure out which equation correctly describes the circle in question, I
would simply put the pair (1,2) into the equations. The one that works is the right answer:
(A)
(B)
1
2
+ 2
2
= 3 Wrong!
(C)
1
2 
+ 2
2
= 5 Correct!
So we know that (C) is the right answer.
26. The correct answer is (D). They are –1, 0, and 1:
|1 – 3(–1) | = |1 + 3| = 4
|1 – 3(0) | = |1 – 0| = 1
|1 – 3(1) | = |1 – 3| = 2
If, however, you try an integer larger than 1:
|1 – 3(2) | = |1 – 6| = 5
which is not less than 5, or one that is less than –1:
|1 – 3(–2) | = |1 + 6| = 7
27. The correct answer is (A). One way of attacking this problem is to factor the expression 4x + 6y:
4x + 6y = 2(2x + 3y)
This shows that 4x + 6y is divisible by 2 and that z must also be divisible by 2. Alternatively, you can
just assume some numbers for x and y. For example, let x and y both be 1:
4(1) + 6(1) = 10
Since 10 is divisible by 2 and 10 but not by 4, 6, or 24, we can eliminate all choices except (A) and
(D). Now try another set of numbers, say, x = 1 and y = 2:
4(1) + 6(2) = 16
16 is divisible by 2 but not by 10, so we eliminate (D). By the process of elimination, we have
established that (A) must be the correct choice.

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Lesson 8
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ARCO
■ SAT II Subject Tests
28. The correct answer is (D). For this problem, you may want to sketch a figure:
Since the figure is a right triangle, we can use the adjacent sides as altitude and base:
(It makes no difference which you consider the altitude and which you consider the base.)