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Basic Mathematics

# Trial and Error

At Memorial Park, there are 3 times as many children as there are dogs. If $$A$$ is the number of children and $$B$$ is the number of dogs, which of the following are possible values for $$A$$ and $$B?$$

(A) $$\ \ A =30, B = 3$$
(B) $$\ \ A=30, B = 10$$
(C) $$\ \ A =10, B = 30$$
(D) $$\ \ A =10, B = 3$$
(E) $$\ \ A =3, B = 10$$

If $$6x - 18 = 0,$$ which of the following is the value of $$x?$$

(A) $$\ \ 2$$
(B) $$\ \ 3$$
(C) $$\ \ 4$$
(D) $$\ \ 5$$
(E) $$\ \ 6$$

If the sum of two numbers is $$15$$ and the difference of the two numbers is $$9,$$ what are the two numbers?

(A) $$\ \ 11$$ and $$4$$
(B) $$\ \ 11$$ and $$5$$
(C) $$\ \ 12$$ and $$3$$
(D) $$\ \ 13$$ and $$2$$
(E) $$\ \ 13$$ and $$4$$

Which of the following is the smallest?

(A) $$\ \ \frac{1}{5} \div \frac{1}{8}$$

(B) $$\ \ \frac{1}{8} \div \frac{1}{5} \div 8$$

(C) $$\ \ \frac{1}{\frac{1}{5 \div 8}}$$

(D) $$\ \ 8 \div \frac{1}{5}$$

(E) $$\ \ \frac{1}{\frac{1}{5} \div \frac{1}{8}}$$

If the sum of the consecutive odd integers from $$x$$ to $$3$$ (both inclusive) is $$-21,$$ which of the following is the value of $$x$$?

(A) $$\ \ -3$$
(B) $$\ \ -5$$
(C) $$\ \ -7$$
(D) $$\ \ -9$$
(E) $$\ \ -11$$

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