Question 1:

Which of the following is a tool used in quality control?

(A) Control chart (B) Pareto chart (C) Histogram (D) All of the above (E) None of the above

Question 2:

Which of the following is NOT a root of the equation x3+3x213x15=0?

(A) 1 (B) -5 (C) 3 (D) -3 (E) None of the above

Question 3:

What is the value of the integral 01+x21dx?

(A) 2 (B) (C) 23 (D) 2 (E) None of the above

Question 4:

What is the probability that 5 cards drawn randomly from a standard deck of 52 cards will all be aces?

(A) 5254 (B) 52515049484 (C) 5251 (D) 52515049481 (E) None of the above

Question 5:

What is the smallest possible value of the expression x2+y2+z2, where x, y, and z are real numbers such that x+y+z=1?

(A) 1 (B) 32 (C) 23 (D) 2 (E) None of the above

Question 6:

A circle is inscribed in a square. The diameter of the circle is equal to the side length of the square. What is the ratio of the area of the circle to the area of the square?

(A) 4 (B) 2 (C) 43 (D) (E) None of the above