In a college of 525 students, each student takes at least 2 items from among idly, dosa, puri, and chapati for his breakfast. If 375 students take idly, 375 take dosa, 375 students take puri nad 375 students take chapati for their breakfast, the number of students who take all the four items is at most ?
Select the correct option.
A) 275
B) 300
C) 225
D) 325
E) None of these
Explanation :   Let y students take all four items. Now, y is maximised when all students take either two or exactly four items each (i.e. no student take either three items). Total number of instances = 375 x 4 = 1500, of which 525 x 2 i.e. 1050 are accounted for by all students taking two items each.   Now let y studetns take lla four items (i.e. 2 items more than the initial assumption of 2 items each)   Then 1050 + 2y = 1500 =&gt; y = 225   Hence, at most 225 students can take all four items.   Answer : 225
<result>C</result>
In a college of 525 students, each student takes at least 2 items from among idly, dosa, puri, and chapati for his breakfast. If 375 students take idly, 375 take dosa, 375 students take puri nad 375 students take chapati for their breakfast, the number of students who take all the four items is at most ?