if x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value q of z - x? Choices: A) 6 B) 7 C) 8 D) 9 E) 10
<gadget id="calculator">5 + 2</gadget>
<output>7</output>

<gadget id="calculator">7 + 2</gadget>
<output>9</output>

<result>D</result>
if x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value q of z - x?
add(add(5, const_2), const_2)
"x < y < z to find the least possible value for z - x ; we need to find the values for z and x that can be closest to each other . if x is some even number , then what could be minimum possible odd z . if x is some even number y - x > 5 ; y > x + 5 ; minimum value for y = x + 5 + 2 = x + 7 [ note : x + 5 is as even + odd = odd and nearest odd greater than x + 5 is x + 5 + 2 ] minimum value for z = y + 2 = x + 7 + 2 = x + 9 [ note : z = y + 2 because both z and y are odd . difference between two odd numbers is 2 ] q = z - x = x + 9 - x = 9 ans : d"