Question $1$:

Which of the following is NOT a key process in operation management?

$($A$)$ Product design

$($B$)$ Process design

$($C$)$ Quality management

$($D$)$ Marketing

$($E$)$ Supply chain management

Question $2$:

Which of the following is NOT a root of the equation x$3+3$x$213$x$15=0?$

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

Question $3$:

What is the value of the integral $0\backslash$infty $1+$x$21$dx$?$

$($A$)2\backslash$pi $($B$)\backslash$pi $($C$)23\backslash$pi $($D$)2\backslash$pi $($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$)52\backslash$times $51\backslash$times $50\backslash$times $49\backslash$times $484($C$)5251($D$)52\backslash$times $51\backslash$times $50\backslash$times $49\backslash$times $481($E$)$ None of the above

Question $5$:

What is the smallest possible value of the expression x$2+$y$2+$z$2,$ 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$)4\backslash$pi $($B$)2\backslash$pi $($C$)43\backslash$pi $($D$)\backslash$pi $($E$)$ None of the above