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Reasoning Skills

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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