LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
17 views
in Aptitude by (30.0k points)
closed by
A Class has 100 students with roll number from 101 to 200. All the even numbered students study Physics, whose roll number are divisible by 5 study Chemistry & students with roll numbers divisible by 7 study Biology. How many students do not study any of the given subject Physics, Chemistry or Biology ?
1. 35
2. 45
3. 51
4. 62

1 Answer

0 votes
by (54.3k points)
selected by
 
Best answer
Correct Answer - Option 1 : 35

Given:

A Class has 100 students with roll number from 101 to 200

Formula used:

n(P ∪ C ∪ B) = n(P) + n(P) + n(C) + n(B) – n(P ∩ B) – n(P ∩ C) – n(C ∩ B) + n(P ∩ C ∩ B)

Calculation:

Physics students be P

Chemistry students be C

Biology students be B

⇒ (100/2) + (100/5) + (100/7) – [100/LCM(2,7)] – [100/LCM(2,5)] – [100/LCM(5,7)] + [100/LCM(2, 5, 7)]

⇒ [50 + 20 + 14.28 – (100/14) – (100/10) – (100/35) + (100/70)]

⇒ (50 + 20 + 14.28 – 7.14 – 10 – 2.85 + 1.42)

⇒ (50 + 20 + 14 – 7 – 10 – 2 + 1)

⇒ 66

Students do not study any exam = ∪ – n(P ∪ C ∪ B)

⇒ 100 – 66 = 34 in approximately 35

∴ Students do not study any exam is 35.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...