CAT Quantitative Ability Questions | CAT Averages, Ratio & Proportion questions

FundaMakers is the Best CAT Online Coaching In India. Now prepare for CAT anytime with FundaMakersWe provide well-ordered syllabus coverage for both offline and online CAT preparation batches. FundaMakers brings to you the power-packed, well-structured CAT previous year question bank with more than 4000+ CAT Past Year questions. In the Quantitative Aptitude section, one of the most frequently asked questions is from the topic- Average, Ratio And Proportion, Mixtures, And Alligations. ERPV turns out to be an important section in Quantitative Aptitude from which 2-4 questions are asked every year in the CAT Exam.

FundaMakers as a team has taken a painstaking step to bring you all the solutions of the Average, Ratio And Proportion, Mixtures, And Alligations asked in the Previous Year CAT exam. CAT question bank offered by FundaMakers is a power-packed topic-wise compilation of the entire CAT previous year questions. Questions from the Average, Ratio And Proportion, Mixtures, And Alligations topic are some of the most scoring questions in the QA section. Other than the formulaic knowledge, it also tests your clarity about the topic. To maximize your CAT score make use of FundaMakers CAT Question BankQuestions from CAT previous years examination papers have been incorporated. Let’s get started with CAT Past Year Average, Ratio And Proportion, Mixtures, And Alligations Questions.

Comprehension

Directions for Questions 7 to 10: Each question is followed by two statements A and B. Indicate your response based on the following directives.

Mark (1) if the questions can be answered using A alone but not using B alone.

Mark (2) if the question can be answered using B alone but not using A alone.

Mark (3) if the question can be answered using A and B together, but not using either A or B alone.

Mark (4) if the question cannot be answered even using A and B together.

CAT/2007

Question . 65

The average weight of a class of 100 students is 45 kg. The class consists of two sections, I and II, each with 50 students. The average weight, WI , of Section I is smaller than the average weight WII , of the Section II. If the heaviest student say Deepak, of section II is moved to Section I, and the lightest student, say Poonam, of Section I is moved to Section II, then the average weights of the two sections are switched, i.e., the average weight of Section I becomes WII and that of Section II becomes WI . What is the weight of Poonam?

A: WII I – W 1.0 = 1.0.

B: Moving Deepak from Section II to I (without any move I to II) makes the average weights of the two sections equal.

View Answer

Explanatory Answer

Method of solving this CAT Quantitative Ability Question from Averages, Ratio & Proportion question

Correct Option : C

Let w1 and w2 be average of both the groups respectively.
Since average of whole class is 45. => w1 + w2 = 90
And if we consider case A we have w2-w1 = 1. From the two equations average weight can be found out.
Further using the equations deduced from given condition which are : and where l and h is weight
of poonam and deepak respectively. However, both of the above equations are effectively the same. Hence we have two equations and
3 unknowns, thus we cannot find the weights by using statement I alone.
If we consider statement B, then we can get another equation. So we will have 3 equations and then we can solve them for the 3
variables.
So both the equations are required to answer the questio

Hey!

Worried about IIM calls due to your marks in 10th,12th, and Graduation?

Don't worry! Know your chances of getting an IIM Call based on your profile with our:-

Profile Professor: https://fundamakers.com/profile-professor/

5 Must- NOT-Dos during CAT Preparation.

  • Do not treat CAT as 'Everything'.
  • Do not quit your job for CAT exam preparation.
  • Learning till The Eleventh hour instead of doing proper revision.
  • Not checking the syllabus thoroughly.
  • Piling up multiple books.

Click To Read:- Common mistakes made by CAT aspirants during preparation.

FundaMakers- Best Online and Offline CAT Online Preparation Institute in India

For any CAT Preparation related query, reach out to us at 9598333344.