A new question for all of you...
All the students in a class of 100 attended a summer camp, organised by SAI and WHO together.At the camp ,each of these students had the option of enrolling for coaching classes in at most three sports, namely football,cricket and hockey.
In an attempt to find out the relative popularity of the three sports ,SAI collected the number of students enrolled for each of these three sports and found that, a students enrolled for hockey, b students enrolled for football and c for cricket.
WHO, on its part, collected the data regarding the number of sports enrolled for by each of the 100 students and found that, d students had enrolled for exactly one sport, e students for exactly two sports, f students for exactly three sports and g students had not enrolled for any of the three sports.
Q1) if d>e>f and c is less than a as well as b , what is the maximum possible value of c ?
1)63 2)64 3)65 4)66 5)None of these.
Q2)If a,b,c,d,e,f and g are all distinct natural numbers, the minimum possible number of students who enrolled for at least one sport is
1)9 2)10 3)11 4)13 5)None of these.
Q3)If a+b+c = 100, the number of the students who enrolled for none of the three sports is at most...
1) 30 2)66 3)68 4)52 5)50
Will post the answer tomorrow.

