CAT 2018 Question Paper | CAT LR DI

CAT Previous Year Paper | CAT DILR | Set 1

The first set of slot 2 of the CAT 2018 question paper was based on educational firms and their accreditation. This can be categorized as a grid based puzzle and has a lot of data and constraints. CAT is known to roll out many such sets, so it is highly recommended to practice many questions of this type to get used to these types of puzzles. Solve this question from CAT previous year paper and ace your CAT online preparation.

CAT DILR : CAT 2018 Question Paper Slot 2

Set 1: College Accreditation

An agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible letter grades given, each carrying certain points: A (50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score for a college is the weighted sum of the points scored in the four parameters. The weights of the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed.

Accreditation is awarded based on the following scheme:

CAT DI LR 2018 Slot 2

Eight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):

CAT DI LR 2018 Slot 2

It is further known that in terms of overall scores:
1. High Q is better than Best Ed.
2. Best Ed is better than Cosmopolitan.
3. Education Aid is better than A-one.

Question 1 : What is the weight of the faculty quality parameter?

  1. 0.2
  2. 0.1
  3. 0.4
  4. 0.3

🎉 Flat ₹ 7,000 off on our CAT '24 & '25 Courses!
Valid till 31st Mar.


Register Now


Video Explanation


Best CAT Coaching in Chennai


CAT Coaching in Chennai - CAT 2022
Limited Seats Available - Register Now!


Explanatory Answer

Method of solving this CAT Question on CAT DILR
CAT DI LR 2018 Slot 2

Let us look at this one at a time. Statement 1 does not give us clear comparables, let us start with statement 2.
CAT DI LR 2018 Slot 2
Ratings in F and P are identical, so we can infer that Weightage for R > Weightage for I.
R > I.
Now, let us move to statement 3.
CAT DI LR 2018 Slot 2
Ratings in F and R are identical, so we can infer that Weightage for I > Weightage for P.
I > P.
Now, let us combine these two inferences – we get R > I > P.
CAT DI LR 2018 Slot 2
Now, let us look at Statement 1.
Scores in P are identical. Best Ed has gotten better scores in F and R and a worse score in I.
Further Best Ed has gotten better score by one grade in F and R, but worse score by two grades in I.
So, Best Ed’s better score in two grades is more than offset by High Q’s better score in one parameter.
CAT DI LR 2018 Slot 2
High Q is -1 in F and R, but +2 in I. We know that weightage given for R > I.
So, the -1 in R has a great impact, so the -1 in F should have much lower impact.
In other words, weightage for F should be small and that for I should be high.
CAT DI LR 2018 Slot 2
Let us account for R > I > P first.
Of the 4 possibilities, we can easily eliminate the last one as F cannot be 0.4.
F cannot be 0.3 either, so the 3rd one can also be eliminated.
CAT DI LR 2018 Slot 2
Even if F were 0.2, High Q would not be higher than Best End – the two scores would be equal.
So, the weightages have to be F = 0.1, R = 0.4, P = 0.2 and I = 0.3.
So, the weightages are as follows.
CAT DI LR 2018 Slot 2
From the above table, we can see that the weight of the faculty quality parameter is 0.1.

The question is " What is the weight of the faculty quality parameter?"

Hence, the answer is 0.1

Choice B is the correct answer.

 

CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT


Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

How to reach 2IIM?

Mobile: (91) 99626 48484 / 94459 38484
WhatsApp: WhatsApp Now
Email: info@2iim.com