Bodhee Prep-Online CAT Coaching | Online CAT Preparation | CAT Online Courses

Get 10% OFF on CAT 24 Course. Code: BODHEE10. Valid till 15th May Enroll Now

CAT 2020 Quant Question [Slot 2] with Solution 09

Question

Students in a college have to choose at least two subjects from chemistry, mathematics and physics. The number of students choosing all three subjects is 18, choosing mathematics as one of their subjects is 23 and choosing physics as one of their subjects is 25. The smallest possible number of students who could choose chemistry as one of their subjects is

  1. 20
  2. 22
  3. 19
  4. 21
Option: 1
Solution:

Let a, b, c represent number of students who opted for two subjects - Maths and Chemistry, Maths and Physics and Physics and Chemistry respectively.

Given, \(a + b = 23 - 18 = 5\)

and \(b + c = 25 - 18 = 7\)

Since a, b and c cannot be negative the least value for any of the three is 5 .

We get \(a + c + 18 = (23 + 25 - 18) - 2b\)

Minimum value of number of students who chose chemistry \( = 23 + 25 - 18 - 10 = 20\)

CAT Online Course @ INR 13999 only

CAT 2020 Quant questions with Solutions

CAT online Courses

FREE CAT Prep Whatsapp Group

CAT 2024 Online Course at affordable price