In a practice paper at 2iim.com, questions were given from 5 topics. Out of the appearing students, 10% passed in all topics while 10% did not pass in any. Of the remaining, 20% passed in one topic only and 25% in two topics only. If 24% of the total students passed 4 topics only and 500 students passed in 3 topics only, find the total number of students who appeared in the examination?
Pick one:	A) 2500	B) 2000	C) 1600	D) 4545	E) 6565

Rationale: detailed solution let the number of appearing students be 100 . pass only in 0 topic – 10 1 – 16 ( 20 % of 80 ) 2 – 20 ( 25 % of 80 ) 3 – 20 % ( 100 – ( 16 + 20 + 24 + 20 ) ) 4 – 24 % 5 – 20 % therefore , 20 % of x = 500 = ) x = 2500 correct answer : a
Answer: A