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Updated on: 17 Sep 2014, 06:12
Originally posted by schittuluri on 11 Aug 2013, 12:05.
Last edited by Bunuel on 17 Sep 2014, 06:12, edited 2 times in total.
Last edited by Bunuel on 17 Sep 2014, 06:12, edited 2 times in total.
Added the OA.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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A box contains 10 tablets of medicine A and 15 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
A. 12
B. 15
C. 17
D. 19
E. 21
A. 12
B. 15
C. 17
D. 19
E. 21
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13 Sep 2014, 07:27
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rcformba
why cant we take all of 10 A and then next 2 will be B tablets so total will be 12 and it is the least to ensure we have at least 2 of each type?
Extracting 12 tablets does not guarantee having at least 2 of each type, because all 12 could be medicine B. In such problems you have to consider the worst case scenario.
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Hope it helps.
General Discussion
11 Aug 2013, 12:11
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schittuluri
A box contains 10 tablets of medicine A and 15 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
A)12
B)15
C)17
D)19
E)21
A)12
B)15
C)17
D)19
E)21
The worst-case scenario would occur if we remove all 15 tablets of medicine B first. In this scenario, we would still not have any tablets of medicine A. However, the next two tablets we remove must be of Medicine A. Therefore, to guarantee that at least two tablets of each type will be taken, we should remove a minimum of \(15+2=17\) tablets.
Answer: C
