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The average of \(11\) numbers is \(205.\) When another number is introduced, the average of the \(12\) numbers is also \(205.\) What is the \(12\text{th}\) number?

(A) \(\ \ \frac{11}{205}\)

(B) \(\ \ \frac{12}{11}\)

(C) \(\ \ 11\)

(D) \(\ \ 23\)

(E) \(\ \ 205\)

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If the average (arithmetic mean) of \(5, 10, 15, 20,\) and \(x\) is \(53\), what is the value of \(x\)?

(A) \(\ \ 3\)

(B) \(\ \ 50\)

(C) \(\ \ 53\)

(D) \(\ \ 215\)

(E) \(\ \ 265\)

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\(9, 80, 3, 25, 3, 25, 25, 9\)

If \(x\) is the median of the list above and \(y\) is the mode, which of the following is \(x+y?\)

(A) \(\ \ 34\)

(B) \(\ \ 39\)

(C) \(\ \ 42\)

(D) \(\ \ 50\)

(E) \(\ \ 97\)

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Anna's average (arithmetic mean) on three tests is \(70\). What grade does she need on her fourth test to raise her average to \(75\)?

(A) \(\ \ 70\)

(B) \(\ \ 75\)

(C) \(\ \ 80\)

(D) \(\ \ 85\)

(E) \(\ \ 90\)

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Oliver drove \(600\) kilometers at \(60\) km/hr. He then sped up and drove \(1680\) kilometers at \(120\) km/hr. What was his average speed, in km/hr, for the entire trip?

(A) \(\ \ 90\)

(B) \(\ \ 95\)

(C) \(\ \ 100 \)

(D) \(\ \ 105 \)

(E) \(\ \ 420\)

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