Practice Doc: IIFT 2019 For LRDI | Additional Study Material for CAT PDF Download

Instructions 
Answer the questions with the given information and the graph.
The analyst at a retail giant has modelled the consumer spending and consumer sentiment to prepare a strategy on product offers in the upcoming festive season. The data given in the figure are from last 10 years on 3 parameters namely, food spending (Food_Spend), style spending (Style_Spend), and sentiment index (Sentiment_Index). Study the figure below and answer the following questions :
1. From the years mentioned below, in which year total of Food_Spend and StyleSpend as a proportion of Sentiment_Index is lowest ?
(A) 2011
(B) 2013
(C) 2016
(D) 2017
Ans. (C)
Solution:
2011 : 910/390 = 2.33
2013: 1330/750 = 1.77
2016: 970/550 = 1.75
2017: 960/370 = 2.6
Option C, 2016 is the correct answer.

2. From the years mentioned below, in which year Food_Spend as a proportion of Style_Spend is lowest ?
(A) 2012
(B) 2013
(C) 2015
(D) 2016
Ans. (B)
Solution: 
2012 : 520/250 = 2.08
2013 : 700/650 = 1.07
2015 : 520/450 = 1.15
2016 : 520 / 450= 1.15
2013 is the lowest and hence it is the correct answer.

3. In which year, ratio of annual change in Style_Spend to annual change in Sentiment_Index is highest ?
(A) 2011
(B) 2012
(C) 2014
(D) 2017
Ans. (C)
Solution: 
2015 = (450-300)/300 = 0.5
2014 = (650-300)/650 =0.54
2013 = (620-350)/350 = 0.77
2011 Style spend = (350-300)/350 = 0.14
2011 sentiment index = 140/250 = 0.56
2011 ratio = 1/4.
2012 Style spend = 50/300 = 1/6
2012 sentiment index = 140/390
Ratio 2012 = 0.06
2014 Style spend = 150/300 = 0.5
2014 sentiment index =360/750=0.48
Ratio = 1.04
2017 style spend = 100/450
2017 sentiment Index = 160/550
Ratio = 0.75
Option C is the correct answer.

4. In which year, highest annual percentage change in StyleSpend is recorded
(A) 2015
(B) 2014
(C) 2013
(D) 2011
Ans. (C)
Solution: 
2015 = (450-300)/300 = 0.5
2014 = (650-300)/650 =0.54
2013 = (620-350)/350 = 0.77
2011 = (350-300)/350= 0.14
The highest percentage change is in the year 2013

Instructions
Direction : Answer the questions with the given information and the data.
Given below are transactions of 17 customers who brought products available from a range of 5 products namely Product A, Product B, Product C, Product D and Product E, on a particular day. “1” means product was purchased and “0” means product was not purchased on that day. There tail manager wants to study the product purchase behaviour based on customer transactions. Example of Paired Product purchase, there are three paired product purchases made by customer with Customer_ID : 102 - (1) Product A and Product C, (2) Product A and Product D and (3) Product C and Product D.

5. How manypaired product purchases were done with Product A as one product?
(A) 16
(B) 17
(C) 18
(D) 19
Ans. (B)
Solution:

With A as one of the product, A-B, A-C, A-D, A-E are the pairs.
Hence, the total is 17

6. Assuming profit margin of the products is as follows : Product A - ₹ 50, Product B - ₹ 45, Product C - ₹ 60, Product D - ₹ 40 and Product E - ₹ 70, which of the following paired product purchases generates highest profit margin given the existing buying frequency?
(A) Product A and Product D
(B) Product A and Product E
(C) Product B and Product D 
(D) Product B and Product E
Ans. (C)
Solution:

Product A and Product D = 6*90 = 540
Product A and Product E = 5*120 = 600
Product B and Product D = 8 * 85= 680
Product B and Product E = 5 * 115=575

7. Given the profit margins of the products as follows : Product A - ₹ 50, Product B - ₹ 45, Product C - ₹ 60, Product D - ₹ 40 and Product E - ₹ 70, and the retailer decides to offer discount in case customer buys more than two products. The discount is equal to 10% of the margin of higher margin product in the combination of products purchased, then how many customer in the sample data generate profit margin of ₹ 150 or more?
(A) 4
(B) 5
(C) 6
(D) 7
Ans. (B)
Solution:

From the above table we can see that the answer is 5

8. How many customers buy lowestselling product pair as well as highest selling product pair?
(A) 2
(B) 0
(C) 1
(D) 3
Ans. (C)
Solution:

Lowest selling pair is A-C with 2 customers.
Highest selling pair is B-D with 8 customers.
Only 115 buys both. Hence, the answer is 1.

Instructions 
Answer the questions with the given information and the data.
The figures given below show the amount of work distribution (in operational hours) for a toy manufacturing company having manufacturing plants in Chennai and Kanpur. Each plant carries out six activities. Planned operational cost per hour of Chennai and Kanpur plants are ₹ 250 and %₹300 respectively. However, the actual operational cost per hour is ₹ 270 in Chennai and ₹ 315 in Kanpur.
Cost Difference (in %)=Absolute ((Actual Cost —- Planned Cost) / Planned Cost) x 100

9. Overall Cost difference in Chennai plant is approximately :
(A) 39%
(B) 41%
(C) 65%
(D) 70%
Ans. (B)
Solution:

Planned cost in chennai = 1032 * 250=258000
Actual cost in chennai = 1350 * 270 = 364500
Cost difference = (106500/258000)*100 = 41%

10. In how many activities plant in Chennai could meet at least 50% shortfall in the actual operational hours compared to planned operational hours of plant in Kanpur?
(A) 1
(B) 2
(C) 3
(D) 4
Ans. (B)
Solution:

In Activity 1, 50% shortfall of planned and actual in Kanpur is 25. Excess in chennai is 25. Hence this activity is counted.
In Activity 2 there is no shortfall
In Activity 3, the 50% shortfall is 50. Excess in chennai is 28. Hence this is incorrect
In Activity 4 and 5 there is no shortfall
In Activity 6 the 50% shortfall is 25. Excess in Chennai is 78. Hence, this activity is counted.

11. Which of following activities has maximum cost difference in Kanpur Plant?
(A) Activity 1 
(B) Activity 3 
(C) Activity 4
(D) Activity 5
Ans. (B)
Solution:

ACtivity 1 : 50/100 * 100 = 50%
Activity 3 : 100/150 *100= 66.6%
Activity 4 : 50/100 *100 = 50%
Activity 5 = 50/250 * 100 = 20%
Activity 3 is the correct answer.

12. In how manyactivities plant in Chennai has higher planned operational hours as compared to plant in Kanpur?
(A) 1
(B) 2
(C) 3
(D) 4
Ans. (B)
Solution:

Chennai has more planned operational hours in Activity 2 and 6.

Instructions
Answer the questions with the given information and the data.
The following table gives number of T-Shirts sold (in thousand units) in Delhi and Mumbai. The T-Shirts are sold in different styles (S1, S2, S3, and S4) with different colours as shown in the table.

13. The average sales of which colour T-Shirt sold is same in both the cities ?
(A) Yellow
(B) Blue
(C) Black
(D) Red
Ans. (D)
Solution: 
Yellow - Delhi : 70.75 ;  Yellow - Mumbai : 66.
Blue - Delhi : 83.25    ;  Blue - Mumbai :76.75
Black - Delhi :67        ;  Black - Mumbai :92.5
Red - Delhi :77.75     ;  Red - Mumbai :77.75.
Red has same average sales in both cities

14. Which style T-Shirt has highest difference in numberof units sold between twocities of Delhi and Mumbai?
(A) S1
(B) S2
(C) S3
(D) S4
Ans. (D)
Solution:

Option D, S4 is the correct answer.

15. If the profit margin of T-Shirts of various styles S1, $2, S3 and S4 are = 100, ¥ 100, ¥ 120 and & 120 respectively, then among the colour an city combinations given below, which combination has the maximum profit?
(A) Red-Mumbai
(B) Red-Delhi
(C) Green-Delhi
(D) Blue-Mumbai
Ans. (C)
Solution: 
Red - Mumbai = 100*(76+89) + 120*(65+81) = 34020
Red - Delhi = 100 *(76+70) + 120*(70 + 95) = 34400
Green - Delhi = 100*(71+89) + 120*(92+65) = 36040
Blue - Mumbai = 100*(94+64) + 120*(75+74) = 33680.
Maximum profit is with Green- Delhi

16. From the combinations given below, which one has minimum difference in units sold across cities of Delhi and Mumbai?
(A) Red - S2
(B) Green - S2 
(C) Yellow - S1 
(D) Black - S3
Ans. (D)
Solution:
Red S2 = |70 - 89| = 19
Green S2 = |89-70| = 19
Yellow S1 = |50-69| = 19
Black S3 = |76-94| = 18.
Option (d) , Black S3 is the correct answer.

Instructions 
Direction : Answer the questions based on the information provided.
In Gargi’s family there are 7 members A, B,C, D, E, F and G other than her consisting of Mother, Father, Brother, Sister, Uncle, Grandfather and Grandmother. They are Doctor, Professor, Director, Actor, Minister, Business Person and Artist by profession not necessarily in the same order. Gargi is a Manager of a leading restaurant and invites the family to her restaurant having round tables for seating to have dinner. The family members select a table for dinner while Gargi is on duty. Few other details are :
(a) The mother and father do not sit together.
(b) C is seated on the immediate left of Professor and sits A with B.
(c) The artist is either the sister or grandmother and sits to the immediate right of Father.
(d) The grandmother is seated on the immediate left of D who is an actor.
(e) G who is an artist sits with the Business person, F who is a female.
(f) E sits one place away to the left of Director.
(g) There is one family member between Grandmother and C who is a Director.
(h) Father is a doctor and sits between Professor and Sister.
(i) Brother is not a Professor and sits with Grandmother.
17. How many minimum/least numberof people are between the Business person and Professor?
(A) 3
(B) 2
(C) 4
(D) 1
Ans. (B)
Solution:
After reading the sentences D,G,B, we get two cases with the following partially filled table

After filling in details with b and e we arrive at

Here, father/doctor has to sit between professor and sister. This is violated in first case. Hence, it is rejected.

The final arrangement is as given above. There are two persons between business person and professor.

18. If B is a Doctor, then who is A?
(A) Father
(B) Uncle
(C) Professor 
(D) Mother
Ans. (C)
Solution: 
After reading the sentences D,G,B, we get two cases with the following partially filled table

After filling in details with b and e we arrive at

Here, father/doctor has to sit between professor and sister. This is violated in first case. Hence, it is rejected.

The final arrangement is as given above. If B is doctor, then A is professor.

19. If C is the Uncle, then Professor is:
(A) Grandfather 
(B) A
(C) B
(D) Mother
Ans. (A)
Solution: 
After reading the sentences D,G,B, we get two cases with the following partially filled table

After filling in details with b and e we arrive at

Here, father/doctor has to sit between professor and sister. This is violated in first case. Hence, it is rejected.

The final arrangement is as given above. If C is uncle, then professor is grandfather.

20. Who sits three places to the right of Mother?
(A) Director 
(B) Uncle
(C) Grandfather
(D) Brother
Ans. (A)
Solution: 
After reading the sentences D,G,B, we get two cases with the following partially filled table

After filling in details with b and e we arrive at

Here, father/doctor has to sit between professor and sister. This is violated in first case. Hence, it is rejected.

The final arrangement is as given above. Director is the correct answer.

Instructions 
Direction : Answer the questions based on the information provided.
A group of students A,B, C, D, E, F, G, H and I visit Sheesh Mahal in Jaipur and play a game of standing in a horizontal line in front of a mirror as per the directions seen in the reflection. The group consists of four girls and five boys and none of the boys are at the extreme end positions. All the boys stand together with no girl in between. A takes the lead and stands in the centre to give directions as per those seen in the reflection. Some other directions which A gives are :
(a) Gis on the extreme left while A is to the immediate left of D.
(b) C stands one place to the right of A and is not a girl.
(c) H is second to the left of B and to the immediate right of G.
(d) E is not on the extreme ends and is not a girl.
(e) B always stands between two boys.
21. Which of the following statementis always true?
(A) F and I are girls
(B) E is a boy but A is a girl
(C) A and E stand together 
(D) C and I stand together 
Ans. (A)
Solution:


Option A is the correct answer

22. Whois three placesto the right of A considering A’s direction sense and not that of the reflection?
(A) F
(B) I
(C) H
(D) E
Ans. (C)
Solution:

The answer is H.

23. If there are two students between F and D, then I as per reflection is :
(A) On the extreme right
(B) Immediate left of D
(C) Immediate right of C
(D) Four places to the right of A 
Ans. (C)
Solution:

From the diagram , we can infer that option C is the answer.

Instructions
Direction : Answer the questions based on the information provided.
In a building with various offices on 12 floors there are two lifts. Lift 1 halts at even numbered floors and Lift 2 at odd numbered. A, B, C and D have their offices on 2, 8, 7 and 11 floors respectively. The office reaching time for A and C is 9:10 am while for B and D is 9:15 am and 9:20 am respectively. The attendance will be marked on the floor office. The lift takes 30 seconds to cross from one floor to another and halts on the selected floor for 30 seconds. The employees have to complete 8 hours and 30 minutes per day and are allowed to be late in the morning up to a maximum of 30 minutes which has to be compensated for in the evening. They have to enter the building from Ground i.e. ‘0’ floor and it is not necessary that the lift is always available.
24. D steps into Lift 1 by mistake with in it at 9:00 am at the ground floor and C is in Lift 2 at ground floor at the same time and realises only when the lift has started. Then approximately at what time will D reach office, if Lift 2 halts for additional 30 seconds after D boards it?
(A) 9:16 am
(B) 9:14 am
(C) 9:11 am 
(D) 9:10 am
Ans. (B)
Solution:

C travels for 7 floors on lift 2. It takes 3.5 minutes. Further it takes another .5 minutes at the 7th floor.Total of 4 minutes.
It travels another 3.5 minutes to the ground floor and spends 0.5 minutes halting at ground floor. Total of 8 minutes.
Now it travels for 5.5 minutes to the 11th floor. The question mentions that it halts for an extra 0.5 minutes. Therefore it takes 6 minutes. Total of 14 minutes.
Answer therefore is 9:14.

25. If A reaches the building at 9:08 am and Lift 1 is at the floor with only B in it, at what time can at the earliest leave from office on that given day?
(A) 5:40 pm
(B) 5:42 am
(C) 5:47 pm
(D) 5:45 pm
Ans. (D)
Solution:

The lift is at the 6th floor. It takes 1 minute to reach 8 th floor. Further it stops for 30 seconds here.
It climbs down 8 floors. It takes 4 minutes for the same. It takes 30 seconds to halt at ground floor. Now it travels 2 floors to second floor in 1 minute. Totally it takes 7 minutes.
Therefore B reaches office at 9:15, which is his office start time. He can therefore leave office is 8 hours 30 minutes which is 5:45

Instructions
Direction : Answer the questions based on the information provided.
In an organisation with three departments i.e. Marketing, Finance and HR, it was decided to shuffle the 70 employees between departments. To make optimum use of resources, the management assesses their capability based on their qualification. 3 employees can work in every department. 7 employees can work in Finance and Marketing only. 10 can work only in HR while the number of employees only in Marketing is double of that in only Finance. Employees in only Finance cannot be less than 10 while employees in Finance and HR only are three times of two less than that of Marketing and HR only. The organisation has employees with all possible combinations of their capabilities.
26. How many employees are capable to work in Marketing and HR only?
(A) 1
(B) 2
(C) 5
(D) 7
Ans. (C)
Solution:

We know that x+x/2+k+3+3k-6+10=70

The solutions possible are x = 24, k = 5 and x = 32 and k = 2. But if k = 2 then, only finance and hr would have 0. This is not possible as the question states that there exists employees in all possible combinations.

The number of employees in only marketing and HR is 5.

27. How many employees at the maximum are capable to work in Finance?
(A) 31
(B) 33
(C) 28
(D) 32
Ans. (A)
Solution:

We know that x+x/2+k+3+3k-6+10=70

The solutions possible are x = 24, k = 5 and x = 32 and k = 2. But if k = 2 then, only finance and hr would have 0. This is not possible as the question states that there exists employees in all possible combinations.

Finance has 31 people.

Instructions
For the following questions answer them individually
28. Complete the given sequence 63, 215, 511, 999
(A) 1330
(B) 1727
(C) 1335
(D) 1735
Ans. (B)
Solution:
63 = 4³ − 1
215 = 6³ − 1
511 = 8³ − 1
999 =10³ − 1
Similarly, the required answer is 12³ - 1 = 1727

Instructions 
Direction : Answer the questions based on the information provided.
A word arrangement, when rearranged by given input follow a particular rule/logic in each step.
Following is an example of input and rearrangement. Study that rule/logic and apply on given problem.
INPUT one cannot but feel sorry for him
Steps /Results :
(I) but cannot one sorry feel him for
(II) cannot but feel sorry one for him
(III) but cannot sorry feel him for one
(IV) sorry cannot but him feel one for
29. If Step VI reads, ‘the best way of promoting our nation’, what will be the arrangement of the input?
(A) best the nation way of our promoting
(B) our promoting the best nation way of
(C) promoting best nation of the our way 
(D) of our best the way nation promoting
Ans. (C)
Solution:

Step 5 would be : cannot sorry feel him but for one.
Step 6 would be : sorry cannot him feel one for but.
If the step 6 was: the best way of promoting our nation "sorry" the first word in the 6th step was at the 5th position in the sentence.
Similarly "the" must be at the 5th position. Only sentence 3 has "the" in the 5th position.
Hence, it is the correct answer.

30. If Step V reads, ‘weeks of tepid slothful and weak performance’, what would step VI read?
(A) performance weeks and tepid of weak slothful
(B) of weeks slothful tepid performance weak and
(C) of tepid slothful performance weak and weeks
(D) performance and tepid weeks of weak slothful
Ans. (B)
Solution:

Step 5 is : cannot sorry feel him but for one.
Instead it is : weeks of tepid slothful and weak performance
Step 6 would be:of weeks slothful tepid performance weak and Option B is the correct answer.