When a positive integer n is divided by 5, which of the following CANNOT be the remainder?
1. 1
2. 2
3. 3
4. 4
5. 5

Choice (E) is correct. When division is carried out within the set of integers, the result is a quotient and a remainder. Consider the following division results:
16 ÷ 5 = 3 remainder 1,
17 ÷ 5 = 3 remainder 2,
18 ÷ 5 = 3 remainder 3,
19 ÷ 5 = 3 remainder 4,
20 ÷ 5 = 4 remainder 0,
21 ÷ 5 = 4 remainder 1,
and so on.
When you divide by 5, the remainder can be 0, 1, 2, 3, or 4, but not 5, because the remainder has to be less than the divisor.


In the figure above, if ACDE is a square, what is the area of polygon ABCDE?
1. 22
2. 27
3. 31
4. 37
5. 45

Choice (C) is correct. Right triangle ABC has AB = 3 and BC = 4. The area of this triangle is . By the Pythagorean theorem, the length of the hypotenuse, , is 5 since AC2 = 32 + 42 = 9 + 16 = 25. Since AC = 5, the length of each side of the square is 5, and the area of the square......

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Title: Psat Math Help
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