Set X consists of prime numbers {3, 11, 7, K, 17, 19}. If integer Y represents the product of all elements in set X and if 11Y is an even number, what is the range of set X?  Choose the correct choice from the following options
A) 14
B) 16
C) 17
D) 20
E) 26
y = product of all elements in set X. now, y will be even if 2 is part of this set (k=2), else y will be odd.   since we have, 11y as an even integer. therefore y must be even. (because 11 is odd, therefore the only way in which 11y can be even is when y is even.)   thus elements in the set X are {2,3,11,7,17,19} and thus its range is 19-2= 
<gadget id="calculator">19-2</gadget>
<output>17</output>
17;   ANSWER:17
<result>C</result>
Set X consists of prime numbers {3, 11, 7, K, 17, 19}. If integer Y represents the product of all elements in set X and if 11Y is an even number, what is the range of set X?