Andy has 20 pairs of matched gloves.
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?
Answer/Solution
15
Steps/Work
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 = 6 means i can lose 6 glove. in this scenario i will be having 14 gloves.
Hence10 < Available Glove Pair < 15
any given time I cant possess 15 glove pair for the above mentioned scenario. And thats the answer. E.
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 = 6 means i can lose 6 glove. in this scenario i will be having 14 gloves.
Hence10 < Available Glove Pair < 15
any given time I cant possess 15 glove pair for the above mentioned scenario. And thats the answer. E.