Andy has 20 pairs of matched gloves. If he loses 12 individual gloves, which of the following is NOT a possible number of matched pairs he has left? Choose the correct choice
A) 9
B) 11
C) 13
D) 14
E) 15
We can solve this is second. The question isSelect an answer choice where there is no possibility of having a number as a matched pair   Once you understand the question, You have to choose an answer choice in seconds. Answer will be either it is minimum (A - 9) or maximum (E - 15). Eliminate B,C and D. Since 12 gloves are gone, we can ignore A and straight away choose the maximum [Here its 15 i.e E]   Since there cant be any ambigous answer it should be minimum or maximum in the listed answer choice.   Now mathematical approach for understanding:   Case1: If 12 gloves are gone the maximum probability of losing maximum gloves is 12 pairs of gloves out of 20. This means i m having 8 pairs of gloves. [Minimum number of gloves i can have is 8 pairs]   Case2: If 12 gloves are gone the maximum probability of losing minimum gloves is 12/2= 
<gadget id="calculator">12/2</gadget>
<output>6</output>
6 means i can lose 6 glove. in this scenario i will be having 14 gloves.   Hence10 &lt; Available Glove Pair &lt; 15   any given time I cant possess 15 glove pair for the above mentioned scenario. And thats the answer. 15.
<result>E</result>
Andy has 20 pairs of matched gloves. If he loses 12 individual gloves, which of the following is NOT a possible number of matched pairs he has left?