Basic Mathematics

Reasoning Skills

Trial and Error

         

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

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

If 6x18=0, 6x - 18 = 0, which of the following is the value of x?x?

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

If the sum of two numbers is 1515 and the difference of the two numbers is 9,9, what are the two numbers?

(A)   11\ \ 11 and 44
(B)   11\ \ 11 and 55
(C)   12\ \ 12 and 33
(D)   13\ \ 13 and 22
(E)   13\ \ 13 and 44

Which of the following is the smallest?

(A)   15÷18\ \ \frac{1}{5} \div \frac{1}{8}

(B)   18÷15÷8\ \ \frac{1}{8} \div \frac{1}{5} \div 8

(C)   115÷8\ \ \frac{1}{\frac{1}{5 \div 8}}

(D)   8÷15\ \ 8 \div \frac{1}{5}

(E)   115÷18\ \ \frac{1}{\frac{1}{5} \div \frac{1}{8}}

If the sum of the consecutive odd integers from xx to 33 (both inclusive) is 21,-21, which of the following is the value of xx?

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

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