CBSE Class 10 Answered
Please solve the question
Asked by vikasg13.hardware | 22 Jun, 2018, 09:49: PM
Expert Answer
The question asks for the maximum possible number of elements. The integers from 1 to 24 can be included because you cannot make 125 with integers from 1 to 24 without the other number being greater than 100. The integers from 25 to 100 are left. They can be paired so the sum is 125: 25+100,26+99, 27+98, ..., 62+63. That is 38 pairs, and at most one number from each pair can be included in the set.
Also, it is possible to see that since the numbers 1 to 24 are in the set there are only the numbers 25 to 100 to consider. As 62+63 gives 125, the numbers 25 to 62 can be put in subset B without having two numbers add up to 125. In this way, subset B will have the numbers 1 to 62, and so ans is 62
Answered by Arun | 27 Jun, 2018, 11:15: AM
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