[Download PDF] IIFT 2016 Question Paper Paper with Solutions

Instructions

T-Nation, a T-shirt manufacturing company has unleashed 5-5-5 strategy, five brands (Ultimate Supreme, Smash, Paramount, Astute), five sizes, (S, M, L, XL, XXL), and five Stores (S1, S2, S3, S4, S5) to capture New Delhi market. Number of T-Shirts in each of the store is given in the stacked bar chart below.

Note: Visibility of a brand in a store is given by number of T-Shirts of the brand in the store by total number of T-Shirts in the store. Visibility across the stores is measured by sum of the scores of visibility of a brand in a store.

Question 31

What is the approximate share of Supreme brand in all stores together?

Video Solution

Solution

Total number of T shirts in all stores = 450+480+440+280+350 = 2000

Number of T shirts of supreme brand in all stores = 128+55+79+111+65 = 438

Percentage share = 438*100/2000= 22 (Approx)

Question 32

Approximately, by what percentage are Smash T-shirts greater than Ultimate T-shirts in all the stores together?

Video Solution

Solution

Number of Smash T shirts in all stores = 85 +137+30+60+108 = 420

Number of Ultimate T shirts in all stores = 57+84+30+48+122 = 341

Required percentage = 81*100/341 = 23

Instructions

Given below is the data about Domestic Investment (DI) and Foreign Investment (FI) in 9 different sectors over 5 year period.
(In Rs. Crores)

Note: DI = Domestic Investment; FI = Foreign Investment

Question 33

What is the approximate ratio of the total investment in Energy sector to that of Financial services sector?

Video Solution

Solution

Total investment in Energy sector = 800+1200+500+1400+700+2500+600+1000+1100+500 = 10300

Total investment in financial services sector = 1800+500+400+2000+1200+1600+1000+1500+700+1400 = 12100

Total investment in financial services sector/ Total investment in Energy sector = 12100/10300 = 1.17 = 1.2 (Approximately)

Hence, Total investment in Energy sector/ Total investment in financial services sector = 1 : 1.2

Question 34

Absolute different between the Total DI and Total FI is highest for which sector?

Video Solution

Solution

Absolute difference between total DI and total FI = absolute( Total DI - Total FI)

For Basic Materials, absolute( Total DI - Total FI) = |(1500+1500+2500+2000+2500)-(800+1300+1400+900+800)| = 10000-5200 = 4800

For Communication Services = |(2000+1200+1600+1000+500)-(1400+1000+1100+300+1200)| = |6300-5000| = 1300

For Consumer Cyclical = |(1000+1200+1100+500+900)-(1500+1500+3000+700+1900)| = |4700-8600| = 3900

For Consumer defensive = |(1300+700+1500+2000+1800)-(1000+1600+800+500+1600)| = |7300-5500| = 1800

For Energy =|(800+500+700+600+1100)-(1200+1400+2500+1000+500)| = |3700-6600| = 2900

For Financial Services =|(1800+400+1200+1000+700)-(500+2000+1600+1500+1400)| = |5100-7000| = 1900

For Healthcare = |(2000+600+400+1000+3500)-(3000+3000+6000+1500+600)| = |7500-14100|= 6600

For Real estate = |(500+1000+4000+6000+2000)-(2000+1500+3000+1500+2100)| = |13500-10100| = 3400

For Technology = |(1500+1000+1500+1200+3000)-(2500+2800+5000+2000+4000)| = |8200- 16300|=8100

Technology has highest absolute difference between Total DI and Total FI.

Question 35

In which year the average DI is the highest?

Video Solution

Solution

Total no of sectors = 9

Average DI for 2013 = Total DI for 2013 across all sectors/9 = (2500+500+900+1800+1100+700+3500+2000+3000)/9 =15500/9

Average DI for 2011 = (2500+1600+1100+1500+700+1200+400+4000+1500)/9 = 14500/9

Average DI for 2010 = (1500+1200+1200+700+500+400+600+1000+1000)/9 = 8100/9

Average DI for 2009 = (1500+2000+1000+1300+800+1800+2000+500+1500)/9 = 12400/9

Average DI for 2013 is highest.

Question 36

Which sector has received the 2nd lowest investment from DI for the total period?

Video Solution

Solution

Investment from DI for total period

For Basic Materials, Total DI = (1500+1500+2500+2000+2500) = 10000

For Communication Services, Total DI = (2000+1200+1600+1000+500) = 6300

For Consumer Cyclical, Total DI = (1000+1200+1100+500+900) = 4700

For Consumer defensive, Total DI = (1300+700+1500+2000+1800) = 7300

For Energy, Total DI =(800+500+700+600+1100) = 3700

For Financial Services, Total DI =(1800+400+1200+1000+700) = 5100

For Healthcare, Total DI = (2000+600+400+1000+3500) = 7500

For Real estate, Total DI = (500+1000+4000+6000+2000) = 13500

For Technology, Total DI = (1500+1000+1500+1200+3000) = 8200

Consumer Cyclical has 2nd lowest investment from DI for total period.

Question 37

What is the approximate ratio of total DI to total FI?

Video Solution

Solution

For Basic Materials,

Total DI = (1500+1500+2500+2000+2500) = 10000

Total FI = (800+1300+1400+900+800) = 5200

For Communication Services,

Total DI= (2000+1200+1600+1000+500) = 6300

Total FI =(1400+1000+1100+300+1200) = 5000

For Consumer Cyclical

Total DI = (1000+1200+1100+500+900) = 4700

Total FI =(1500+1500+3000+700+1900) = 8600

For Consumer defensive

Total DI = (1300+700+1500+2000+1800) = 7300

Total FI =(1000+1600+800+500+1600) = 5500

For Energy

Total DI =(800+500+700+600+1100) = 3700

Total FI = (1200+1400+2500+1000+500) = 6600

For Financial Services

Total DI=(1800+400+1200+1000+700) = 5100

Total FI = (500+2000+1600+1500+1400) = 7000

For Healthcare

Total DI = (2000+600+400+1000+3500) = 7500

Total FI= (3000+3000+6000+1500+600) = 14100

For Real estate
Total DI = |(500+1000+4000+6000+2000) = 13500

Total FI = (2000+1500+3000+1500+2100) = 10100

For Technology

Total DI = (1500+1000+1500+1200+3000) = 8200

Total FI = (2500+2800+5000+2000+4000) = 16300

Total DI for all sectors = 66300

Total FI for all sectors = 78400

Ratio of Total FI to total DI = 78400/66300 = 1.18

Hence, Ratio of total DI to total FI = 2.36 : 2

Instructions

The following 2 bar charts represent revenues and expenses (in thousands) of A Ltd, B Ltd, and C Ltd over a period of five years.

Revenues of A Ltd, B Ltd, C Ltd for the period 2011-2015

Question 38

For which company, the average annual expenses were maximum in the given period?

Video Solution

Solution

Average annual expense for A(in thousands) = Sum of all annual expenses for A(in thousands)/Total no of years = (105+185+100+120+110)/100 = 620/5

Similarly,

Average annual expense for B(in thousands) = (135+115+130+125+135)/5 = 640/5

Average annual expense for C(in thousands) = (165+155+190+100+100)/5 = 710/5

C has the highest average expense for given period.

Question 39

For which year, the average annual revenue (considering all three companies) was the maximum?

Video Solution

Solution

Average annual revenue = Sum of annual revenue of A,B and C for the given year/3 (Here 3 is the total number of companies)

Average revenue for year 2011(in thousands) = (120+180+150)/3 = 450/3

Average revenue for year 2012(in thousands) = (165+150+180)/3 = 495/3

Average revenue for year 2013(in thousands) = (135+165+180)/3 = 480/3

Average revenue for year 2014(in thousands) = (180+150+135)/3 = 465/3

Here, Average annual revenue for 2012 is the highest.

Question 40

What was the approximate percentage decline in the revenue of C Ltd in 2015 as compared to the revenue in 2012?

Video Solution

Solution

Revenue of C in 2012 = 180,000

Revenue of C in 2015 = 120,000

Decline in revenue = 180,000-120,000 = 60,000

Percentage decline in revenue = (Decline in revenue/Revenue of C in 2012)*100 = (60,000/180,000)*100 = 33.33

CAT Content

IIFT 2016 Question Paper

What is the approximate share of Supreme brand in all stores together?

Approximately, by what percentage are Smash T-shirts greater than Ultimate T-shirts in all the stores together?

What is the approximate ratio of the total investment in Energy sector to that of Financial services sector?

Absolute different between the Total DI and Total FI is highest for which sector?

In which year the average DI is the highest?

Which sector has received the 2nd lowest investment from DI for the total period?

What is the approximate ratio of total DI to total FI?

For which company, the average annual expenses were maximum in the given period?

For which year, the average annual revenue (considering all three companies) was the maximum?

What was the approximate percentage decline in the revenue of C Ltd in 2015 as compared to the revenue in 2012?

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CAT Content

IIFT 2016 Question Paper

What is the approximate share of Supreme brand in all stores together?

Approximately, by what percentage are Smash T-shirts greater than Ultimate T-shirts in all the stores together?

What is the approximate ratio of the total investment in Energy sector to that of Financial services sector?

Absolute different between the Total DI and Total FI is highest for which sector?

In which year the average DI is the highest?

Which sector has received the 2nd lowest investment from DI for the total period?

What is the approximate ratio of total DI to total FI?

For which company, the average annual expenses were maximum in the given period?

For which year, the average annual revenue (considering all three companies) was the maximum?

What was the approximate percentage decline in the revenue of C Ltd in 2015 as compared to the revenue in 2012?

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