Failed in NTSE, AIR-1 in IITJEE (Topper Story)

In a class of 200 students who appeared certain examinations, 35 students failed in MHT CET, 40 in AIEEE and 40 in IIT entrance, 20 failed in MHT CET and AIEEE, 17 in AIEEE and IIT entrance, 15 in MHT-CET and IIT entrance and 5 failed in all three examinations. Find how many students. 1) Did not fail in any examination. 2) Failed in AIEEE or IIT entrance.

Before You Read|About The Story - Para 1 and 2|About The Story - Para 3,4 and 5|Summary

Before You Read|About The Story - Para 1 and 2|About The Story - Para 3,4 and 5|Summary

The results of students of a college revealed the following facts. 25% of students failed in Mathematics, 15% of students failed in Chemistry,10% of students failed in both. If a student is selected at random. The probability that he has failed in Mathematics, given that he failed in Chemistry is (i)1/5 (ii)2/3 (iii)3/5 (iv)1/3

STATEMENT-1 : Wet air is heavier than dry air. STATEMENT-2 : The density of dry air is less than the density of water at 1 atm and 273K.

The probability of A to fail in an examination is 1/5 and that of B is 3/10 . If the probability that both of them fails is 3/50 , then the probability that only one of A and B fails, is

In a college 3% students fail in Physics, 25% fail in Mathematics and 10% fail in both. One student is chosen at random. The probability that she fails in Physics if she has failed in Mathematics is 1//10 b. 1/3 c. 2/5 d. 9/(20)

Three statements are given, followed by four conclusions numbered I, II, III and IV. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: 1. Some students are boys. 2. All boys are honest. 3. Some honest are toppers. Conclusions: I. Some toppers are boys. II. Some honest are boys. III. Some honest are students. IV. Some toppers are students.