CAT DILR Preparation requires time and continuous practice as the subject involves the thinking process and in DILR questions if a candidate can crack one set of questions then he can score around 4-5 marks in that set. Solving CAT DILR question papers on a daily basis will improve your speed and accuracy level. Therefore we have provided around 15 questions from the previous years’ papers along with detailed solutions for your practice in the article below. 

CAT DILR questions below are in 3 sets and in CAT 2021 the questions from this section will also be asked in sets. Candidates are advised to solve 5-7 sets daily to crack DILR with 90+ percentile. 

Set 1 of Questions

Direction for questions 1 to 4. Answer the questions supported the subsequent information:

Four sisters — Suvarna, Tara, Uma, and Vibha are playing a game such the loser doubles the cash of every one of the opposite players from her share. They played four games and every sister lost one game in alphabetical order. At the top of the fourth game, each sister had Rs. 32.

Q1. what percentage of rupees did Suvarna start with? 

a. Rs. 60 

b. Rs. 34 

c. Rs. 66 

d. Rs. 28

Q2. Who started with the rock bottom amount?

a. Suvarna

b. Tara 

c. Uma 

d. Vibha

Q3. Who started with the very best amount?

a. Suvarna 

b. Tara 

c. Uma 

d. Vibha

Q4. What was the quantity with Uma at the top of the second round?

a. 36 

b. 72 

c. 16 

d. None of those

Solutions for Questions 1 to 4:

• Students, please note that the simplest thing to solving this question is by working backward. e.g. after the 4thround, all of them have Rs. 32. 
• Since it's Vibha who lost during this round, all the remaining three must have doubled their share. In other words, they might have had Rs. 16 each after the 3rd round. 
• Since the rise in Rs. 16 in one’s share, i.e. Rs. 48 overall, comes from Vibha's share, her share before the 4th round is going to be (32+ 48) = Rs. 80, after the 3rd round. 
• Working backward during this manner, we will get the subsequent table:

Q1. c - Suvarna started with Rs. 66.

Q2. d - It was Vibha who started with rock bottom amount, viz.Rs. 10.

Q3. a - It was Suvarna who started with the very best amount,viz. Rs. 66.

Q4. b - At the top of the second round, Uma had Rs. 72.

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Set 2 of Questions

Direction for questions 5 to 8. Answer the questions supported the subsequent information

Q5. What is the minimum average return Venkat would have earned during the year?

(1) 30%

(2) 31.25%

(3) 32.5%

(4) Cannot be determined

Q6. If Venkat earned a 35% return on average during the year, then which of these statements would necessarily be true?

I) Company A belonged either to Auto or to industry.

II) Company B didn't announce extraordinarily good results.

III) Company A announced extraordinarily good results.

IV) Company D didn't announce extraordinarily good results.

I and II only

II and III only

I and IV only

II and IV only

Q7. If Venkat earned a 38.75% return on the average during the year, then which of

these statement(s) would necessarily be true?

I) Company C belonged either to Auto or to industry.

II) Company D belonged either to Auto or to industry.

III) Company A announced extraordinarily good results.

IV) Company B did not announce extraordinarily good results.

I and II only

II and III only

I and IV only

II and IV only

Q8. If Company C belonged to the Cement or the IT industry and did announce

extraordinarily good results, then which of these statement(s) would necessarily

be true?

I) Venkat earned not more than 36.25% return on average.

II) Venkat earned not but a 33.75% return on average.

III) If Venkat earned a 33.75% return on the average, Company A announced

extraordinarily good results.

IV) If Venkat earned 33.75% return on average, Company B belonged either to Auto

or to Steel Industry.

I and II only

II and IV only

II and III only

III and IV only

Solution for Questions 5 to 8:

Q5. At the time of investment, the entire price of the four stocks was Rs. 400 Total expected returns = (20 + 10 + 30 + 40)

= Rs. 100 Venkat would earn the minimum average return when the businesses with the 2 lowest expected returns would give 2 times and 1.5 times their expected returns.

Thus, minimum expected returns = 20 × 1.5 + 10 × 2 + 30 + 40 = Rs.120 = 30% of initial investment Hence, option 1.

Q6. Venkat earned 35% average return i.e. Rs. 140.

∴ He earned Rs. 40 more than expected.

∴ 40 = x + 0.5y,

where x and y correspond to expected returns on stocks that gave extraordinarily good results.

∴ 0.5y = 40 − x

But x and y are often 20, 10, 30 or 40. If x = 20, y = 40, which is feasible

If x = 10, y = 60, which isn't possible If x = 30, y = 20, which is feasible

If x = 40, y = 0, which isn't possible

Thus, Company A with x = 20 necessarily announced extraordinarily good results

along with company C or D. B did not announce extraordinarily good results.

Hence, option 2.

Q7. Venkat earned a return of 38.75% = Rs. 155

∴ He earned Rs. 55 more than expected.

∴ 55 = x + 0.5y

where x and y correspond to expected returns on stocks that gave

extraordinarily good results.

But x and y are often 20, 10, 30 or 40.

If x = 20, y = 70, which isn't possible. If x = 10, y = 90, which isn't possible. If x = 30, y = 50, which isn't possible. If x = 40, y = 30, which is feasible .

Thus company C and company D announced returns that were respectively one

and a half and twice the initially expected returns.

∴ Company C belonged to either Auto or industry and Company A and B did

not announce extraordinarily good results. Statements I and IV are true.

Hence, option 3.

Q8. Company C gave a return of Rs.60.

∴ Total returns are going to be the minimum possible when B gives 1.5 times the initially expected returns.

∴ Total returns would be 20 + 15 + 60 + 40 = Rs.135 = 33.75% Statement II is true.

Also, when returns are 33.75%, company B belongs to Auto or Steel Industry.

Statement IV is true and Statement III is fake .

Total returns are going to be the utmost possible when D gives 1.5 times the initially expected returns.

∴ Total returns would be 20 + 10 + 60 + 60 = Rs.150 = 37.5% Statement I is false.

Hence, option 2.

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Set 3 of Questions:

Direction for questions 9 to 12. Answer the questions supported the subsequent information

The Dean’s office recently scanned student results into the central computing system. When the character reading software cannot read something, it leaves that space blank. The scanner output is as mentioned.

In the grading system, A, B, C, D, and F grades fetch 6, 4, 3, 2, and 0-grade points respectively. The Grade

Point Average (GPA) is that the first moment of the grade points obtained within the five subjects. For example

Nisha‘s GPA is (6 + 2 + 4 + 6 + 0)/5 = 3.6

Some additional facts also are known about the students‘ grades. These are:

Vipul obtained an equivalent grade in Marketing as Aparna obtained in Finance and Strategy.

Fazal obtained an equivalent grade in Strategy as Utkarsh did in Marketing.

Tara received an equivalent grade in just three courses.

Q9. In Operations, Tara could have received the same grade as.

(1) Ismet 

(2) Hari

(3) Jagdeep

(4) Manab

Q10. What grade did Preeti obtain in Statistics?

(1) A 

(2) B

(3) C 

(4) D

Q11. What grade did Utkarsh obtain in Finance?

(1) B 

(2) C

(3) D 

(4) F

Q12. In Strategy, Gowri‘s grade point was higher than that obtained by.

(1) Fazal 

(2) Hari

(3) Nisha 

(4) Rahul

Solutions for Questions 9 to 12:

Q9. 4

Tara received same grade in 3 courses. We already know that Tara possesses B grade in one among the topic and GPA is 2.4. So in 3 courses during which he scored same grade is B. So Tara has received an equivalent grade as Manab.

Q10. 1

GPA of Preeti = 3.2

0 + 2 + x + 2 + y = 16

x + y = 12

So only combination possible is A, A. So Preeti obtained A grade in statistics.

Q11. 3

As Fazal GPA = 2.4

So D + F + B + P + D = 2.4 × 5 2 + 0 + 4 + P + 2 = 12

P = 4

So his grade in strategy is B.

So Grade of Utkarsh in marketing is also B.

So for Utkarsh, x + B + F + C + A = 3 × 5 x + 4 + 0 + 3 + 6 = 15

x = 2

So grade of Utkarsh in finance = D.

Q12. 2

GPA of Gowri is 3.8

i.e. 3 + 3 + 6 + x + 4 = 3.8 × 5

16 + x = 18

x = 2

So in strategy, Gowri's grade is C.

Rahul's grade in strategy = (4.2 × 5) – 15 = 6, i.e., A. Fazal's grade in strategy = (2.4 × 5) – 8 = 4, i.e., B. Hence, Gowri's grade will be higher than that of Hari.

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