# IIFT 2010 LRDI | Previous Year IIFT Paper

**Answer the following question based on the information given below.**

During the cultural week of an institute six competitions were conducted. The cultural week was inaugurated in the morning of 19th October, Wednesday and continued till 26th October. In the span of 8 days six competitions namely debate, folk dance, fash-p, street play, rock band, and group song, were organized along with various other cultural programs. The information available from the institute is:

i. Only one competition was held in a day

ii. Rock band competition was not conducted on the closing day

iii. Fash-p was conducted on the day prior to debate competition

iv. Group song competition was conducted neither on Wednesday nor or Saturday

v. None of the competition was conducted on Thursday and Sunday

vi. Street Play competition was held on Monday

vii. There was gap of two days between debate competition and group song competition

**1. IIFT 2010 LRDI | LR - Rank & Ordering**

The cultural week started with which competition?

- A.
Flash-p competition

- B.
Debate competition

- C.
Street play competition

- D.
Rock band competition

Answer: Option D

**Explanation** :

Create a table with three columns – date, day and competition – as shown below:

Since there were 6 competitions and 8 days, and only one competition was held per day; it means that exactly 2 days were completely free i.e. there was no competition on that day. It is given that these two days were Thursday and Sunday.

Now, street play was held on Monday.

Thus, the table becomes:

Flash-p was conducted a day before the debate and there was a gap of 2 days between the debate and the group song competition.

Therefore, there are 2 possibilities: GS __ Flash-p Debate or Flash-p Debate __ __ GS

Now, for flash-p and the debate to be on consecutive days, only two possibilities exist – Friday and Saturday or Tuesday and Wednesday.

If the debate is on Wednesday, the group song will have to be on Sunday, which is not possible.

Therefore, the flash-p competition and debate were on Friday and Saturday respectively. Therefore, the Group Song competition has to be on Tuesday.

Since the rock band competition was not held on the last day, it could have only been conducted on the first day i.e. October 19.

Therefore, the folk dance competition was held on the last day i.e. 26 October.

Thus, the final table is as shown below:

Thus, the cultural week started with the rock band competition.

Hence, option (d).

Workspace:

**2. IIFT 2010 LRDI | LR - Rank & Ordering**

How many days gap is there between rock band competition and group song competition?

- A.
Two

- B.
Three

- C.
Four

- D.
Five

Answer: Option D

**Explanation** :

Create a table with three columns – date, day and competition – as shown below:

Since there were 6 competitions and 8 days, and only one competition was held per day; it means that exactly 2 days were completely free i.e. there was no competition on that day. It is given that these two days were Thursday and Sunday.

Now, street play was held on Monday.

Thus, the table becomes:

Flash-p was conducted a day before the debate and there was a gap of 2 days between the debate and the group song competition.

Therefore, there are 2 possibilities: GS __ Flash-p Debate or Flash-p Debate __ __ GS

Now, for flash-p and the debate to be on consecutive days, only two possibilities exist – Friday and Saturday or Tuesday and Wednesday.

If the debate is on Wednesday, the group song will have to be on Sunday, which is not possible.

Therefore, the flash-p competition and debate were on Friday and Saturday respectively. Therefore, the Group Song competition has to be on Tuesday.

Since the rock band competition was not held on the last day, it could have only been conducted on the first day i.e. October 19.

Therefore, the folk dance competition was held on the last day i.e. 26 October.

Thus, the final table is as shown below:

Consider the final table,

The rock band competition and the group song competition were held on October 19 and October 25 respectively.

Thus, there were five days in between.

Hence, option (d).

Workspace:

**3. IIFT 2010 LRDI | LR - Rank & Ordering**

Which pair of competition was conducted on Wednesday?

- A.
Rock band competition and debate competition

- B.
Debate competition and fash-p competition

- C.
Rock band competition and Folk dance competition

- D.
None of these

Answer: Option C

**Explanation** :

Create a table with three columns – date, day and competition – as shown below:

Since there were 6 competitions and 8 days, and only one competition was held per day; it means that exactly 2 days were completely free i.e. there was no competition on that day. It is given that these two days were Thursday and Sunday.

Now, street play was held on Monday.

Thus, the table becomes:

Flash-p was conducted a day before the debate and there was a gap of 2 days between the debate and the group song competition.

Therefore, there are 2 possibilities: GS __ Flash-p Debate or Flash-p Debate __ __ GS

Now, for flash-p and the debate to be on consecutive days, only two possibilities exist – Friday and Saturday or Tuesday and Wednesday.

If the debate is on Wednesday, the group song will have to be on Sunday, which is not possible.

Therefore, the flash-p competition and debate were on Friday and Saturday respectively. Therefore, the Group Song competition has to be on Tuesday.

Since the rock band competition was not held on the last day, it could have only been conducted on the first day i.e. October 19.

Therefore, the folk dance competition was held on the last day i.e. 26 October.

Thus, the final table is as shown below:

Consider the final table.

The rock band and folk dance competitions were conducted on Wednesday.

Hence, option (c).

Workspace:

**4. IIFT 2010 LRDI | LR - Rank & Ordering**

Which competition exactly precedes the street play competition?

- A.
Rock band competition

- B.
Group song competition

- C.
Debate competition

- D.
Fash-p competition

Answer: Option C

**Explanation** :

Create a table with three columns – date, day and competition – as shown below:

Now, street play was held on Monday.

Thus, the table becomes:

Therefore, there are 2 possibilities: GS __ Flash-p Debate or Flash-p Debate __ __ GS

If the debate is on Wednesday, the group song will have to be on Sunday, which is not possible.

Therefore, the folk dance competition was held on the last day i.e. 26 October.

Thus, the final table is as shown below:

Consider the final table.

The debate competition exactly precedes the street play competition.

Hence, option (c).

Workspace:

**5. IIFT 2010 LRDI | LR - Rank & Ordering**

Fash-p competition follows which competition?

- A.
Debate competition

- B.
Street play competition

- C.
Rock band competition

- D.
None of these

Answer: Option C

**Explanation** :

Create a table with three columns – date, day and competition – as shown below:

Now, street play was held on Monday.

Thus, the table becomes:

Therefore, there are 2 possibilities: GS __ Flash-p Debate or Flash-p Debate __ __ GS

If the debate is on Wednesday, the group song will have to be on Sunday, which is not possible.

Therefore, the folk dance competition was held on the last day i.e. 26 October.

Thus, the final table is as shown below:

Consider the final table.

The flash-p competition follows the rock band competition.

Hence, option (c).

Workspace:

**Answer the following question based on the information given below.**

A parking lot can accommodate only six cars. The six cars are parked in two rows in such a way that the front of the three cars parked in one row is facing the other three cars in the other row.

i. Alto is not parked in the beginning of the any row

ii. Esteem is second to the right of i10

iii. Punto, who is the neighbor of Alto is parked diagonally opposite to i10

iv. Swift is parked in front of Alto

v. SX4 is parked to the immediate right of Alto

**6. IIFT 2010 LRDI | LR - Rank & Ordering**

If SX4 and Esteem exchange their positions mutually then car (s) adjacent to Esteem is (are)?

- A.
i10 and Swift

- B.
Only Swift

- C.
Only Alto

- D.
Alto and Punto

Answer: Option C

**Explanation** :

The parking lot can be as shown below:

___ ___ ___

___ ___ ___

Esteem is second to the right of i10.

Therefore, there are 2 possibilities:

___ ___ ___

i10 ___ Esteem

or

Esteem ___ i10

_________ ___ ___

Punto is parked diagonally opposite i10 and Alto is next to Punto.

Thus, we get:

___ Alto Punto

i10 ___ Esteem

or

Esteem ___ i10

Punto Alto ___

Now, SX4 is to the immediate right of Alto and Swift is opposite Alto.

Therefore, we get

SX4 Alto Punto

i10 Swift Esteem

or

Esteem Swift i10

Punto Alto SX4

Now, if SX4 and Esteem interchange their position, in either case, the car next to Esteem will be Alto.

There is no other car next to Esteem.

Hence, option (c).

Workspace:

**7. IIFT 2010 LRDI | LR - Rank & Ordering**

If Alto changes position with i10 and Punto changes position with SX4 and Swift shifts one position to the right to accommodate Beatle then the car (s) parked adjacent to Beatle is (are)?

- A.
Punto only

- B.
i10 and SX4

- C.
Punto and Alto

- D.
Alto and Swift

Answer: Option D

**Explanation** :

Alto changes position with i10, Punto changes position with SX4 and Swift shifts one position to the right to accommodate Beatle.

Therefore, the arrangements are as shown below:

Swift Beatle Alto

SX4 i10 Punto

or

Punto i10 SX4

Alto Beatle Swift

In either case, the cars next to Beatle are Alto and Swift.

Hence, option (d).

Workspace:

**8. IIFT 2010 LRDI | LR - Rank & Ordering**

In the original parking scheme four new cars enter the parking lot such that Wagon-R is second to the right of i10 and Zen is second to the left of SX4. Jazz is parked second to the left to Wagon-R and Beat is parked to the right of Alto then the cars that moved out are?

- A.
Esteem and Swift

- B.
Punto and Alto

- C.
i10 and Alto

- D.
Punto and SX4

Answer: Option D

**Explanation** :

4 new cars have entered the car park.

Wagon-R is second to the right of i10, Zen is second to the left of SX4, Jazz is second to the left of Wagon-R and Beat is to the right of Alto.

Using these conditions, the arrangement is as shown below:

Wagon R Swift Jazz

Zen Alto Beat

or

Beat Alto Zen

Jazz Swift Wagon R

Thus, the cars that have gone out are Esteem, i10, Punto and Sx4.

Alto and Swift have not gone out. Options 1, 2 and 3 mention either Swift or Alto. Hence, options 1, 2 and 3 can be eliminated.

Hence, option (d).

Workspace:

**Answer the following question based on the information given below.**

i. Six friends Rahul, Kabeer, Anup, Raghu, Amit and Alok were engineering graduates. All six of them were placed in six different companies and were posted in six different locations, namely Tisco-Jamshedpur, Telco-Pune, Wipro-Bangalore, HCL-Noida, Mecon-Ranchi and Usha Martin-Kolkata. Each of them has their personal e-mail id’s with different email providers i.e., Gmail, Indiatimes, Rediffmail, Yahoo, Hotmail, Sancharnet, though not necessarily in the same order.

ii. The one having e-mail account with Sancharnet works in Noida and the one having an e-mail account with Indiatimes works for Tisco.

iii. Amit does not stay in Bangalore and does not work for Mecon, the one who works for Mecon has an e-mail id with Gmail.

iv. Rahul has an e-mail id with Rediffmail and works at Pune.

v. Alok does not work for Mecon and the one who works for Wipro does not have an e-mail account with Yahoo.

vi. Kabeer is posted in Kolkata, and does not have an account with Hotmail.

vii. Neither Alok nor Raghu work in Noida.

viii. The one who is posted in Ranchi has an e-mail id which is not an account of Rediffmail or Hotmail.

ix. Anup is posted in Jamshedpur.

**9. IIFT 2010 LRDI | LR - Rank & Ordering**

The man who works in Wipro has a e-mail account with?

- A.
Sancharnet

- B.
Yahoo

- C.
Rediffmail

- D.
None of these

Answer: Option D

**Explanation** :

Construct a table with the names of the graduates, companies, locations and email providers.

Note that the company and location are given as a pair.

Thus, if one of these two parameters is known for a person or corresponding to an email provider, the other is also automatically known.

From (ii), we get: HCL – Noida – Sancharnet and Tisco – Jamshedpur – Indiatimes.

Now, consider the information which directly mentions the location, company or provider for a person.

Rahul works for Telco in Pune and uses Rediffmail.

Kabeer works for Usha Martin in Kolkata and Anup works for Tisco in Jamshedpur.

Thus, the table is as shown below:

Now, since neither Alok nor Raghu work in Noida, Amit works for HCL in Noida.

Therefore, Amit uses Sancharnet.

Similarly, Anup uses Indiatimes.

Thus, the table becomes:

Since Alok does not work for Mecon, Raghu works for Mecon and Alok works for Wipro.

Therefore, Alok and Raghu work in Bangalore and Ranchi respectively.

Since the person who works in Mecon has an account with Gmail, Raghu has an account with Gmail.

Since the person who works in Wipro does not have a Yahoo account, Alok has to have a Hotmail account and Kabeer has to have a Yahoo account.

Thus, the final table is as shown below:

Thus, the person who works in Wipro has an e-mail account with Hotmail.

Hence, option (d).

Workspace:

**10. IIFT 2010 LRDI | LR - Rank & Ordering**

Which of the following e-mail-place of posting-person combination is correct?

- A.
Kabeer-Kolkata-Rediffmail

- B.
Alok-Bangalore-Indiatimes

- C.
Amit-Noida-Yahoo

- D.
Raghu-Ranchi-Gmail

Answer: Option D

**Explanation** :

Construct a table with the names of the graduates, companies, locations and email providers.

Note that the company and location are given as a pair.

Thus, if one of these two parameters is known for a person or corresponding to an email provider, the other is also automatically known.

From (ii), we get: HCL – Noida – Sancharnet and Tisco – Jamshedpur – Indiatimes.

Now, consider the information which directly mentions the location, company or provider for a person.

Rahul works for Telco in Pune and uses Rediffmail.

Kabeer works for Usha Martin in Kolkata and Anup works for Tisco in Jamshedpur.

Thus, the table is as shown below:

Now, since neither Alok nor Raghu work in Noida, Amit works for HCL in Noida.

Therefore, Amit uses Sancharnet.

Similarly, Anup uses Indiatimes.

Thus, the table becomes:

Since Alok does not work for Mecon, Raghu works for Mecon and Alok works for Wipro.

Therefore, Alok and Raghu work in Bangalore and Ranchi respectively.

Since the person who works in Mecon has an account with Gmail, Raghu has an account with Gmail.

Since the person who works in Wipro does not have a Yahoo account, Alok has to have a Hotmail account and Kabeer has to have a Yahoo account.

Thus, the final table is as shown below:

Consider the final table.

It can be seen that only the Raghu-Ranchi-Gmail combination is correct.

Hence, option (d).

Workspace:

**11. IIFT 2010 LRDI | LR - Rank & Ordering**

Which of the following is true?

- A.
Amit is posted at Ranchi

- B.
Raghu is posted at Jamshedpur

- C.
Kabeer has an e-mail id with Yahoo

- D.
Rahul has an e-mail id with Indiatimes

Answer: Option C

**Explanation** :

Construct a table with the names of the graduates, companies, locations and email providers.

Note that the company and location are given as a pair.

Thus, if one of these two parameters is known for a person or corresponding to an email provider, the other is also automatically known.

From (ii), we get: HCL – Noida – Sancharnet and Tisco – Jamshedpur – Indiatimes.

Now, consider the information which directly mentions the location, company or provider for a person.

Rahul works for Telco in Pune and uses Rediffmail.

Kabeer works for Usha Martin in Kolkata and Anup works for Tisco in Jamshedpur.

Thus, the table is as shown below:

Now, since neither Alok nor Raghu work in Noida, Amit works for HCL in Noida.

Therefore, Amit uses Sancharnet.

Similarly, Anup uses Indiatimes.

Thus, the table becomes:

Since Alok does not work for Mecon, Raghu works for Mecon and Alok works for Wipro.

Therefore, Alok and Raghu work in Bangalore and Ranchi respectively.

Since the person who works in Mecon has an account with Gmail, Raghu has an account with Gmail.

Since the person who works in Wipro does not have a Yahoo account, Alok has to have a Hotmail account and Kabeer has to have a Yahoo account.

Thus, the final table is as shown below:

Consider the final table.

Among the options, the only statement that is true is that Kabeer has an email-id with Yahoo.

Hence, option (c).

Workspace:

**12. IIFT 2010 LRDI | LR - Rank & Ordering**

Which of the following sequences of location represent Alok, Kabeer, Anup, Rahul, Raghu, and Amit in the same order?

- A.
Bangalore, Noida, Pune, Jamshedpur, Ranchi, Kolkata

- B.
Bangalore, Kolkata, Jamshedpur, Pune, Noida, Ranchi

- C.
Kolkata, Bangalore, Jamshedpur, Pune, Noida, Ranchi

- D.
None of these

Answer: Option D

**Explanation** :

Construct a table with the names of the graduates, companies, locations and email providers.

Note that the company and location are given as a pair.

From (ii), we get: HCL – Noida – Sancharnet and Tisco – Jamshedpur – Indiatimes.

Rahul works for Telco in Pune and uses Rediffmail.

Kabeer works for Usha Martin in Kolkata and Anup works for Tisco in Jamshedpur.

Thus, the table is as shown below:

Now, since neither Alok nor Raghu work in Noida, Amit works for HCL in Noida.

Therefore, Amit uses Sancharnet.

Similarly, Anup uses Indiatimes.

Thus, the table becomes:

Since Alok does not work for Mecon, Raghu works for Mecon and Alok works for Wipro.

Therefore, Alok and Raghu work in Bangalore and Ranchi respectively.

Since the person who works in Mecon has an account with Gmail, Raghu has an account with Gmail.

Thus, the final table is as shown below:

Consider the final table.

The sequence of location for Alok, Kabeer, Anup, Rahul, Raghu and Amit, in that order, is Bangalore, Kolkata, Jamshedpur, Pune, Ranchi and Noida.

Hence, option (d).

Workspace:

**13. IIFT 2010 LRDI | LR - Rank & Ordering**

People who have e-mail account with Indiatimes, Sancharnet and Yahoo work for which companies, in the same sequence as the e-mail accounts mentioned?

- A.
Usha Martin, HCL, Wipro

- B.
Tisco, Wipro, Usha Martin

- C.
HCL, Tisco, Wipro

- D.
Tisco, HCL, Usha Martin

Answer: Option D

**Explanation** :

Construct a table with the names of the graduates, companies, locations and email providers.

Note that the company and location are given as a pair.

From (ii), we get: HCL – Noida – Sancharnet and Tisco – Jamshedpur – Indiatimes.

Rahul works for Telco in Pune and uses Rediffmail.

Kabeer works for Usha Martin in Kolkata and Anup works for Tisco in Jamshedpur.

Thus, the table is as shown below:

Now, since neither Alok nor Raghu work in Noida, Amit works for HCL in Noida.

Therefore, Amit uses Sancharnet.

Similarly, Anup uses Indiatimes.

Thus, the table becomes:

Since Alok does not work for Mecon, Raghu works for Mecon and Alok works for Wipro.

Therefore, Alok and Raghu work in Bangalore and Ranchi respectively.

Since the person who works in Mecon has an account with Gmail, Raghu has an account with Gmail.

Thus, the final table is as shown below:

Consider the final table.

The people who have an email account with Indiatimes, Sancharnet and Yahoo work for Tisco, HCL and Usha Martin respectively.

Hence, option (d).

Workspace:

**14. IIFT 2010 LRDI | LR - Series**

How many ‘zeroes’ are there in the following sequence which are immediately preceded by a nine but not immediately followed by seven?

7090070890702030045703907

- A.
One

- B.
Two

- C.
Three

- D.
Four

Answer: Option A

**Explanation** :

Consider the given sequence 7090070890702030045703907

There is only one zero that is immediately preceded by a nine and is not immediately followed by seven.

Hence, option (a).

Workspace:

**15. IIFT 2010 LRDI | LR - Logical Connectives**

A Retail chain has seven branches in a city namely R1, R2, R3, R4, R5, R6, R7 and a central distribution center (DC). The nearest branch to the DC is R6 which is in the south of DC and is 9 Km away from DC. R2 is 17 Km away from DC in the west. The branch R1 is 11 Km away R2 further in the west. The branch R3 is 11 Km in the north east of R1. R4 is 13 Km from R3 in the east. R5 is 11 Km in the north east of the distribution center. In the north east of R6 is R7 and distance between them is 15 Km. The distance between R1 and R6, R2 and R6, R6 and R5 is 23 Km, 19 Km, 13 Km respectively. R3 is 14 Km away from the DC in the north west direction, while R2 is also 14 Km away from R4 in the north east direction of R2. A truck carrying some goods starts from the distribution center and has to cover at least four stores in a single trip. There is an essential good that has to be delivered in the store R7, but the delivery at R7 has to be done in the end, so what is the shortest distance the truck would travel?

- A.
55

- B.
56

- C.
63

- D.
66

Answer: Option C

**Explanation** :

According to the given conditions, the relative position of each city is as shown in the figure below:

The shortest route for the truck would be DC - R3 - R1 - R6 - R7.

Thus, the total distance travelled would be 14 + 11 + 23 + 15 = 63 km

Hence, option (c).

Workspace:

**Answer the following question based on the information given below.**

Following graph represents the cost per square feet of four retailers from the financial year 2004 to 2012. The expected cost per square feet for year 2010, 2011 and 2012 are forecasted figures.

**16. IIFT 2010 LRDI | DI - Tables & Graphs**

Which retailer shows the sharpest decline in cost per square feet and in which year?

- A.
Westside, 2005

- B.
Pantaloon, 2008

- C.
S. Stop, 2009

- D.
Vishal, 2010

Answer: Option A

**Explanation** :

The sharpest decline in cost per square feet will be for a retailer having the maximum slope for the cost line; with the cost per square feet on the y-axis and years on the x-axis.

Now, since the change in the x-axis i.e. number of years is constant for all 4 options i.e. 1 year, the sharpest decline will be for the retailer having the maximum drop in the cost per square feet for that particular year.

Decline in cost per square feet for the retailers given in the options is:

Westside, 2005 : 2411 – 1724 = 687

Pantaloon, 2008 : 2044 – 1656 = 388

S.Stop, 2009 : 2419 – 2197 = 222

Vishal, 2010 : 1659 – 1064 = 595

Hence, the sharpest decline is for Westside in the year 2005.

Hence, option (a).

Workspace:

**17. IIFT 2010 LRDI | DI - Tables & Graphs**

Which retailer has shown the maximum increase in its cost per square feet and in which year?

- A.
S. Stop, 2006

- B.
S. Stop, 2007

- C.
Pantaloon, 2006

- D.
Vishal, 2006

Answer: Option B

**Explanation** :

The increase in cost per square feet for the retailers in the given options is:

S.Stop, 2006 : 2135 – 1889 = 246

S.Stop, 2007 : 2464 – 2135 = 329

Pantaloon, 2006 : 1996 – 1729 = 267

Vishal, 2006 : 1802 – 1832 = ̶ 30

Hence, the maximum increase in cost per square feet among the given options is for S.Stop in 2007.

Hence, option (b).

Workspace:

**18. IIFT 2010 LRDI | DI - Tables & Graphs**

What is the average rate of change in the cost per square feet of the retail sector, if the sector is represented by the above four retailers in the period FY07 to FY10E?

- A.
–8.12

- B.
–10.86

- C.
–6.73

- D.
None of these

Answer: Option D

**Explanation** :

The rate of change for the each retailer in the period FY07 to FY10E is

For Pantaloons: {(1396 – 2044)/2044} × 100 = ̶ 31.70%

For S. Stop: {(2230 – 2464)/2464} × 100 = – 9.5%

For Vishal: {(1064 – 1751)/1751} × 100 = – 39.23%

For Westside: {(1051 – 1525)/1525} × 100 = –31.08%

Hence, the average rate of change in the cost per square feet of the retail sector in the period FY07 to FY10E is: (31.70 + 9.5 + 39.23 + 31.08)/4 i.e. – 27.88%

Hence, option (d).

Workspace:

**Answer the following question based on the information given below.**

The table below represents the information collected by TRAI about the Service Area wise Access of (Wireless + Wire line) subscribers in India. On the basis of the information provided in the table answer the questions that follow.

**19. IIFT 2010 LRDI | DI - Tables & Graphs**

Which service area has observed maximum rate of change from Dec 2009 to March 2010 (in percentage)?

- A.
U.P. (E)

- B.
Bihar

- C.
Orissa

- D.
Haryana

Answer: Option C

**Explanation** :

The rate of change from Dec 2009 to March 2010 for U.P. (E), Bihar, Orissa and Haryana are:

U.P. (E): $\frac{45.53-39.68}{39.68}$ = 14.74%

Bihar: $\frac{38.36-33.17}{33.17}$ = 15.64%

Orissa:$\frac{15.89-13.57}{13.57}$ = 17.09%

Haryana: $\frac{14.96-13.59}{13.59}$ = 10.08%

∴ Orissa has shown the maximum rate of change from Dec 2009 to March 2010.

Hence, option (c).

Workspace:

**20. IIFT 2010 LRDI | DI - Tables & Graphs**

As a result of a decisions to allow only two or three telecom operator in a particular service area, TRAI allocates R-Com and Vodafone to operate only in the east of India and Idea and Airtel operate only in south. R-Com has got 28% subscribers in the east while Vodafone has 72% subscribers; similarly Idea has 48% subscribers in the south while Airtel has 52% subscribers. How many subscribers do these four players have in 2010?

- A.
R-Com-28.03, Vodafone-73.22, Idea-86.22, Airtel-89.5

- B.
R-Com-30.03, Vodafone-72.82, Idea-85.02, Airtel-80.04

- C.
R-Com-28.03, Vodafone-76.24, Idea-84.01, Airtel-85.67

- D.
R-Com-30.03, Vodafone-77.22, Idea-82.99, Airtel-89.91

Answer: Option D

**Explanation** :

Since R-com has 28% subscribers in the east and Vodafone has 72% subscribers in the east, these two are the only operators in the east.

Similarly, Idea and Airtel are the only players in the south.

Now, Karnataka, Andhra Pradesh, TN (including Chennai) and Kerala are in the south.

Hence, the number of subscribers in the south in 2010 = 39.91 + 48.09 + 57.26 + 27.65 = 172.91 million

Now, Idea has 48 % of these subscribers.

Hence, the number of subscribers that Idea had in the south = 172.91 × 0.48 = 82.99 million

Similarly, the number of subscribers that Airtel had in the south = 172.91 × 0.52 = 89.91 million

Only option D shows these values for Idea and Airtel.

Hence, option (d).

Alternatively,

As R-com has 28% and Vodafone has 72% of the subscribers in the east, the number of subscribers for R-com and Vodafone mentioned in the options must satisfy this condition. i.e. the number of subscribers mentioned for R-com must be 28% of the sum of number of subscribers mentioned for R-com and Vodafone in that option.

Only option 4 satisfies this condition.

Hence, option (d).

Workspace:

**21. IIFT 2010 LRDI | DI - Tables & Graphs**

Due to operability issues early in 2010 Madhya Pradesh and entire UP was added to the eastern telecom circle. The telecom operators in Madhya Pradesh and entire UP namely R-Com, Vodafone and Idea had 28%, 40% and 32% subscribers respectively. What is the percentage of subscribers that each player has in the newly formed eastern circle in March 2010?

- A.
R-Com-30.01%, Vodafone-55.72%, Idea-14.27%

- B.
R-Com-32.01%, Vodafone-53.72%, Idea-14.27%

- C.
R-Com-28%, Vodafone-55.72%, Idea-16.27%

- D.
None of these

Answer: Option D

**Explanation** :

Percentage share of R-com, Vodafone and Idea in Madhya Pradesh and entire UP is given.

However, the percentage breakup of these players in the other eastern states is not known.

Also, the other operators (if any) in the other eastern states are not known.

Hence, a definite conclusion about the percentage share of these players in the newly formed eastern region is not possible

Hence, among the given options, only option 4 is feasible.

Hence, option (d).

Note: Since the question does not state explicitly that data from the previous question can be used, the percentage break up given in the previous question cannot be assumed in this question.

Workspace:

**22. IIFT 2010 LRDI | DI - Tables & Graphs**

The all India rate of change in number of subscribers from December 2009 to March 2010 is?

- A.
10.7%

- B.
10.5%

- C.
11.8%

- D.
12.4%

Answer: Option B

**Explanation** :

Find the total number of subscribers in Dec 2009 (in million) and Mar 2010 (in million).

Total number of subscribers in Dec 2009 (in million) = 562.18

Total number of subscriber in March 2010 (in million) = 621.30

∴ The required rate of change = $\frac{(621.3-562.18)}{562.18}$ ×100 ≈ 10.5%

Hence, option (b).

Workspace:

**Answer the following question based on the information given below.**

In order to quantify the intangibles and incentives to the multi brand dealers (dealers who stock multiple goods as well as competing brands) and the associated channel members, a **Company(X)** formulates a point score card, which is called as brand building points. This brand building point is added to the sales target achieved points for redemption. The sales target achieved point is allotted as per the table 3 of this question. The sum of brand building point and sales achieved points is the total point that can be redeemed by the dealer against certain goods, as shown in the second table.

There are 10 multi brand dealers in Nasik and the sales that they have achieved in the end of a quarter are:

**23. IIFT 2010 LRDI | DI - Tables & Graphs**

Maheshwari & Co has Company X signage along with other brand signage in the main entrance of the store, the exterior walls of the store have the painting of only company X, the side wall in the interior has the painting of Company X. The POP display of Company X is above the eye level with other brands while the stacking of goods of Company X is in the back row of the shelves. The brand building points when combined with the sales achieved points amounts to the total points that a dealer can accumulate in a quarter. The number of Tupperware Sets that Maheshwari & Co can redeem after the quarter (July to September) is?

- A.
2

- B.
3

- C.
4

- D.
5

Answer: Option A

**Explanation** :

The points earned by Maheshwari & Co. are as follows:

Points for Company Signage = 10

Points for Company X wall painting in the exterior of the store = 20

Points for Company X painting in the interior of the store = 2.5

Points for POP display of company X = 5

Points for stacking of company X goods in the shelves = 0

Thus, total brand building points = 10 + 20 + 2.5 + 5 + 0 = 37.5

As Maheshwari & Co. has achieved more than 100% sales target, they will get 15 points for the first 100% and then additional points on a per unit basis.Maheshwari & Co. had sold 56241 – 50000 = 6241 extra units and they will get 0.25 points for each extra unit sold.

Therefore, they will get 6241 × 0.25 = 1560.25 extra points.

Hence total points earned = 37.5 + 15 + 1560.25 = 1612.75

600 points are required to redeem 1 Tupperware set.

Hence, Maheshwari & Co. will be able to redeem only 2 Tupperware sets.

Hence, option (a).

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**24. IIFT 2010 LRDI | DI - Tables & Graphs**

Bhowmik Brothers has only other brands signage in the front of the store, and company X painting on the side wall in the exterior of the store, Company X painting on the side wall in the interior of the store, no POP display of any Company and the goods of Company X is stacked in the front row with other brands. What is the total point Bhowmik Brothers need to accumulate to make them eligible for minimum redemption?

- A.
27

- B.
37

- C.
38

- D.
33

Answer: Option D

**Explanation** :

The points earned by Bhowmik Brothers are as follows:

Points for company Signage = – 20

Points for company X wall painting in the exterior of the store = 2.5

Points for company X painting in the interior of the store = 2.5

Points for POP display of company X = 0

Points for stacking of company X goods in the shelves = 10

Thus, total brand building points = – 20 + 2.5 + 2.5 + 0 + 10 = – 5

As Bhowmik Brothers has achieved 75 – 99% of the sales target, it will get 12 points for sales.

Hence total points = –5 + 12 = 7

For minimum redemption, they should have atleast 40 points (for an umbrella).

Therefore, they need 33 more points.

Hence, option (d).

Workspace:

**25. IIFT 2010 LRDI | DI - Tables & Graphs**

The Brand building points of Saha H/W is 85, and Mr. Saha the proprietor of the store wants to redeem a Kanjivaram Saree the next quarter by carrying forward the points accumulated this quarter to the next quarter. The sales target of Saha H/W is 25,000 units in the next quarter. It is assumed the brand building points for the next quarter is also going to be 85. How many extra units Saha H/W has to sell in order to get the Kanjivaram Saree?

- A.
14688

- B.
12569

- C.
13658

- D.
15698

Answer: Option A

**Explanation** :

Brand building points of Saha H/W = 85.

Since Saha H/W had achieved more than 100% of the sales target, they get 15 points for the sales.

Also, they sold 512 extra units and so get 512 × 0.25 = 128 extra points.

Saha H/W will get 85 points again for brand building in the next quarter.

Also, since Saha H/W will have to sell extra units, it would have achieved more than 100% of the sales.

Therefore, it will also get 15 points for achieving 100% sales.

Therefore, excluding the extra points earned next quarter, the total points for Saha H/W at the end of next quarter are

85 + 15 + 128 + 85 + 15 = 328

To redeem a Kanjivaram saree, Saha H/W must have 4000 points.

Hence, the extra points that need to be earned in the second quarter = 4000 ‒ 328 = 3672

For every extra sale, Saha H/W gets 0.25 points.

Therefore, to get 3672 extra points, the extra sales should be 3672 × 4 = 14688

Hence, option (a).

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**26. IIFT 2010 LRDI | DI - Tables & Graphs**

Malling Enterprise exhausted all its points while redeeming three Nike Caps and an Umbrella, what is its brand building points?

- A.
75

- B.
85

- C.
95

- D.
90

Answer: Option A

**Explanation** :

One Nike cap and one umbrella can be redeemed using 40 and 100 points respectively.

Therefore, to redeem 3 Nike caps and 1 Umbrella, Malling Enterprise used 3 × 100 + 40 = 340 points.

Since Malling Enterprise has exhausted all its points, they had a total of 340 points.

Now, Malling had achieved more than 100% of the sales target and so will get 15 points for sales.

Since, they had sold 1000 extra units, they get 1000 × 0.25 = 250 extra points for this.

Therefore, total points through sales = 15 + 250 = 265

The remaining points have to be through brand building.

Hence, brand building points = 340 ̶ 265 = 75

Hence, option (a).

Workspace:

**27. IIFT 2010 LRDI | DI - Tables & Graphs**

If Srikrishna Trader has 80 brand building points then the goods that it can redeem are _________?

- A.
Tupperware set, Kanjivaram

- B.
Umbrella and Tupperware set

- C.
Tupperware set, Nike Cap

- D.
Nike Cap and T-Shirt

Answer: Option D

**Explanation** :

Srikrishna Trader had 80 brand building points.

Since they have achieved more than 100 % of the sales target, they get 15 points for achieving the target.

Additionally, they had sold 2000 extra units and so get 2000 × 0.25 = 500 extra points for it.

Hence, total points of Srikrishna Trader = 500 + 15 + 80 = 595

One Tupperware set requires 600 points for redemption and so cannot be redeemed using these points.

Observe that options 1, 2 and 3 mention a Tupperware set and so are not possible.

Therefore, options 1, 2 and 3 get eliminated.

Srikrishna Trader can redeem a Nike cap (100 points) and a T-shirt (200 points) using their points.

Hence, option (d).

Workspace:

**Answer the questions based on the following graph.**

**28. IIFT 2010 LRDI | DI - Tables & Graphs**

If the world energy council formulates a norm for high emission countries to reduce their emission each year by 12.5% for the next two years then what would be the ratio of CO2 emission to per capita income of US, China and Japan after two years. The per capita income of China, Japan and US is expected to increase every year by 4%, 3% and 2% respectively.

- A.
3.5, 3.8, 4.1

- B.
3.4, 3.5, 3.9

- C.
2.9, 3.1, 3.4

- D.
None

Answer: Option C

**Explanation** :

The ratio of CO_{2} emission to per capita income for USA, China and Japan after two years will be :

USA = $\frac{1200\times 0.875\times 0.875}{300\times 1.02\times 1.02}$ = 2.9

China = $\frac{1180\times 0.875\times 0.875}{270\times 1.04\times 1.04}$ = 3.1

Japan = $\frac{1125\times 0.875\times 0.875}{240\times 1.03\times 1.03}$ = 3.4

Hence, option (c).

Workspace:

**29. IIFT 2010 LRDI | DI - Tables & Graphs**

If US and China, decide to buy carbon credits, from Spain and Ukraine to make up for their high emissions, then in how many years US, and China would be able to bring down its ratio of *CO _{2} emission (million ton) to per capita income* to world standard benchmark of 0.75. (per capita income of the given countries remain same, 0.5 CO

_{2}emissions [million ton] is compensated by purchase of 1.25 units of carbon credit, and a country can buy carbon credit units in three lots of 15, 20 and 30 units in a single year.)

- A.
3.8 years

- B.
38 years

- C.
30 years

- D.
None

Answer: Option B

**Explanation** :

To bring down the ratio of CO_{2} emission to per capita income to meet the standard benchmark of 0.75, US and China will have to bring down their CO_{2} emission to (300 × 0.75) and (270 × 0.75) respectively i.e. 225 and 202.5 million tons respectively.

Hence, the amount of CO_{2} emission US and China have to cut down to meet the standard benchmark is (1200 – 225) and (1180 – 202.5) i.e. 975 and 977.5 million tons respectively.

To reduce 0.5 million tons of CO_{2} emission, a country has to purchase 1.25 units of carbon credits.

Therefore, to reduce 1 million tons of CO_{2} emission 2.5 units of carbon credits need to be purchased.

Hence, to reduce CO_{2} emission by 975 and 977.5 million tons, the amount of carbon credits that need to be purchased by the US and China are (975 × 2.5) and (977.5 × 2.5) i.e. 2437.5 and 2443.75 respectively.

The number of carbon credits that a country can buy in a year is 65 (15 + 20 + 20).

Therefore, the number of years that U.S. and China will respectively take to get the ratio to the required level is (2437.5/65) i.e. 37.5 years and (2443.75/65) i.e. 37.6.

Hence, in 38 years US and China will be able to bring down its CO_{2} emission to per capita income to the world standard benchmark of 0.75.

Hence, option (b).

Workspace:

**30. IIFT 2010 LRDI | DI - Tables & Graphs**

France, South Africa, Australia, Ukraine and Poland form an energy consortium which declares CO2 emission of 350 million ton per annum as standard benchmark. The energy consortium decides to sell their carbon emission savings against the standard benchmark to high carbon emission countries. It is expected that the per capita income of each country of the energy consortium increases by 2%, 2.5% and 3.5% p.a. for the next three years respectively. The ratio of CO2 emission to per capita income of the each energy consortium country reduces by 50% and remains constant for the next three years. By selling 0.5 CO2 emissions [million ton] the energy consortium earns 1.25 carbon credits, then determine the total carbon credits earned by energy consortium in three years.

- A.
3560

- B.
4506

- C.
5060

- D.
None

Answer: Option C

**Explanation** :

By selling 0.5 CO_{2} emissions the energy consortium earns 1.25 carbon credits.

∴ The number of carbon credits earned by any country in the consortium

= (Total CO_{2} emission saved) × (1.25/0.5)

Total CO_{2} emission saved by any country in the consortium = 350 – revised CO_{2} emission by that country.

Revised total CO_{2} emission per year for each country in the consortium = Revised ratio × revised per capita income per year.

The per capita income increases by 2%, 2.5% and 3.5% in the first, second and third year respectively.

The ratio of CO_{2} emissions to per capita income becomes half and stays constant for three years after that.

Thus, all the revised values are as shown in the table below:

Therefore, the total CO_{2} emissions saved by France, SA, Australia, Ukraine and Poland over three years

= *S*1 + *S*2 + *S*3

= 2024 million tons

Hence, the number of carbon credits earned by the energy consortium in three years

= 2024 × (1.25/0.5)

= 5060 units

Hence, option (c).

Workspace:

**31. IIFT 2010 LRDI | DI - Tables & Graphs**

Select the wrong statement in reference to the position of India vis-à-vis other countries in the graph in terms of the ratio of CO2 emission to per capita income (increasing order).

- A.
India stands at 5th position if 50 is added to the given per capita income figures of each country.

- B.
India stands at 5th position at the given CO2 emission level and per capita income of each country.

- C.
India stands at 5th position if 200 million ton CO2 emission is deducted from the given CO2 emission figures of each country.

- D.
India stands at 5th position if 200 million ton CO2 emission is deducted from the given CO2 emission figures of each country and 50 is added to the given per capita income of each country.

Answer: Option D

**Explanation** :

Start with the statement in option 2 as it requires the figures to be used as they are given in the bar graph.

From the above table, we can conclude that India stands at the 5^{th} position at the given CO_{2} emission level and per capita income of each country (in increasing order).

Hence, the statement in option 2 is true.

Consider option 1. Since 50 is added to the per capita income for each country, the ratio given in the above table decreases for each country and for India it becomes 2.

This implies that any country having CO_{2} emission value greater than twice the revised per capita income will have a ratio greater than India.

Only four countries (Australia, Spain, Ukraine and Poland) have the required ratio less than India.

Hence, India stands at the 5^{th} position in this case also.

Hence, the statement in option 1 is also true.

Consider option 3. Since 200 million tons are deducted from the given CO_{2} emission value, the ratio given in the above table decreases for each country and for India it becomes 1.5.

This implies that any country having CO_{2} emission value greater than one and half times the revised per capita income will have a ratio greater than India.

Only four countries (Australia, Spain, Ukraine and Poland) have the required ratio less than India.

Hence India stands at the 5^{th} position in this case also.

Hence, the statement in option 3 is also true.

Since the statement in options 1, 2 and 3 is true, the statement in option 4 is false.

Hence, option (d).

Workspace:

**Answer the following question based on the information given below.**

Refer to the following pie chart and answer the question that follows. The chart shows the number of units produced in degrees, by Company X in different States of India for the quarter July-Sep 2010.

**32. IIFT 2010 LRDI | DI - Tables & Graphs**

By how many units does the number of units produced in Bihar exceed the number of units produced in Madhya Pradesh, if the total production in the quarter is 72, 000 units?

- A.
2300 units

- B.
2520 units

- C.
3516 units

- D.
2860 units

Answer: Option B

**Explanation** :

Note that the units are given in degrees.

∴ Number of units in Bihar ~ Number of units in MP = $\frac{(45-32.4)}{360}$ × 72000 = 2520

Hence, option (b).

Workspace:

**Answer the questions based on the following graph.**

The following graph shows population data (males and females), educated people data (males and females) and number of male in the population for a given period of 1995 to 2010. All data is in million.

From the information given in the graph answer the questions that follow

**33. IIFT 2010 LRDI | DI - Tables & Graphs**

In which year the percentage increase in the number of females over the previous year is highest?

- A.
1996

- B.
1999

- C.
2004

- D.
2005

Answer: Option D

**Explanation** :

Female population = (Total population – Male population)

Therefore, the percentage increase in Female population in 1996, 1999, 2004 and 2005 is as given below:

1996: $\frac{330-300}{300}$ × 100 = 10%

1999: $\frac{350-320}{320}$ × 100 = 9.375%

2004: $\frac{370-350}{350}$ × 100 = 5.71%

2005: $\frac{420-370}{370}$ × 100 = 13.51%

Thus, the percentage change in the number of females over the previous year is the highest in 2005.

Hence, option (d).

Workspace:

**34. IIFT 2010 LRDI | DI - Tables & Graphs**

In 2002 if the ratio of number of educated male to professionally educated female was 5:4. If the number of educated males increased by 25% in 2003. What is the percentage change in number of uneducated females in 2003?

- A.
+25%

- B.
+30%

- C.
+34%

- D.
+56%

Answer: Option D

**Explanation** :

Number of educated people in 2002 = 545

Therefore, number of educated males in 2002 = (5/9) × 545 ≈ 303

and, number of educated females in 2002 = 545 – 303 = 242

Now, number of females in 2002 = Total population – Total male population = 350

Hence, number of uneducated females in 2002 = 350 – 242 = 108

The number of educated males increases by 25% in 2003.

Hence, number of educated males in 2003 = 1.25 × 303 ≈ 379

Therefore, number of educated females in 2003 = 560 – 379 ≈ 181

Now, number of females in 2003 = Total population ‒ Total male population = 350

Hence, number of uneducated females in 2003 = 350 – 181 ≈ 169

Hence, percentage change in uneducated females = (169 – 108)/108 × 100 ≈56%

Hence, option (d).

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**35. IIFT 2010 LRDI | DI - Tables & Graphs**

In year 2005 total population living in urban area is equal to sixty eight percent of educated population. The ratio of number of people living in urban area to people living in rural area is 43:12 in 2010. What is the ratio of the rural population in 2005 to that in 2010?

- A.
0.8

- B.
0.47

- C.
2.05

- D.
None

Answer: Option C

**Explanation** :

Total population of urban area in 2005 = 0.68 × 600 = 408 million

Total population in 2005 = 900 million

Therefore, population of rural area in 2005 = 900 – 408 = 492 million

Population of rural area in 2010 = $\frac{12}{55}$ × 1100 = 240 million

Therefore, the required ratio = 492/240 = 2.05

Hence, option (c).

Workspace:

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