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16 Jul 2017, 23:34
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C
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Difficulty:
55%
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Question Stats:
55% (01:28) correct
45%
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wrong
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A number of students have to be selected from a class of 25 students to form a group. What is the number of students in the group?
(1) The number of possible selections of the students to form the group is the largest possible value.
(2) The number of students selected is less than 50 percent of the strength of the class.
(1) The number of possible selections of the students to form the group is the largest possible value.
(2) The number of students selected is less than 50 percent of the strength of the class.
17 Jul 2017, 08:48
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Statement (1) The number of possible selections of the students to form the group is the largest possible value.
The largest possible value will come when the number of students is either 12 or 13. In either case the number of possible selections will be same. But since we have two possible answers, this statement is insufficient.
Statement (2) The number of students selected is less than 50 percent of the strength of the class.
As per this statement the number of students can be anything less than 13. This statement is not sufficient.
Combining both statements we know the number of students is 12.
Answer is C
The largest possible value will come when the number of students is either 12 or 13. In either case the number of possible selections will be same. But since we have two possible answers, this statement is insufficient.
Statement (2) The number of students selected is less than 50 percent of the strength of the class.
As per this statement the number of students can be anything less than 13. This statement is not sufficient.
Combining both statements we know the number of students is 12.
Answer is C
17 Jul 2017, 12:52
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mcm2112
mcm2112 What are you confused about?
Question says there are total of 25 students. A Group has to be made of 'n' from these 25 students.
Now before we go to first statement. If 'n' students have to be selected from 25 students, how many different combinations of 'n' students can be made? The answer is \(25C_n\)
Now coming back to statement 1. Statement 1 says that the value of n is such that the value of\(25C_n\) is the maximum.
So lets says if we says n=1,then \(25C_1\) = 25; If n=2, then \(25C_2\) = 25*12. Likewise this will continue till n=25.
So what u need to find out is for which value of n is \(25C_n\) is the maximum.
Hope this helps.
