List of top Questions asked in XAT- 2007

Directions: Each group of questions is based on a set of conditions. Read the passage below and answer the question that follows.

A retail electronics chain has six new mobile phone models, T, V, W, X, Y and Z. Each model comes with at least one of three options: digital camera, music player and office document viewer. No model has any other option. The following conditions apply:

V has both a digital camera and an office document viewer.
W has a digital camera and a music player.
W and Y have no options in common.
X has more options than W.
V and Z have exactly one option in common.
T has fewer options than Z.

Suppose no two mobile phone models have exactly the same set of options as one another. In that case, each of the following could be true EXCEPT:

Directions for Questions 97 to 101: A company launches eight products, Q, R, S, T, V, W, Y and Z, in one of the four metros of India. The products are launched one after another over a period of six months in 2006. The order of launch follows these conditions:

V is launched before both Y and Q.
Q gets launched after Z.
T gets launched before V but after R.
S gets launched after V.
R gets launched before W.

Q101. If V gets launched before Z does, then which one of the following COULD be true?

Directions: Each group of questions is based on a set of conditions. Read the passage below and answer the question that follows.

A retail electronics chain has six new mobile phone models, T, V, W, X, Y and Z. Each model comes with at least one of three options: digital camera, music player and office document viewer. No model has any other option. The following conditions apply:

V has both a digital camera and an office document viewer.
W has a digital camera and a music player.
W and Y have no options in common.
X has more options than W.
V and Z have exactly one option in common.
T has fewer options than Z.

If exactly four of the six mobile phones have music player, and exactly four of the six mobile phones have digital camera, then each of the following must be true EXCEPT:

Directions for Questions 102 to 107: A retail electronics showroom chain has six new mobile phone models, T, V, W, X, Y and Z, each equipped with at least one of three options: digital camera, music player and office document viewer. No phone has any other option. The following conditions apply:

V features both a digital camera and an office document viewer.
W has a digital camera and a music player.
W and Y have no options in common.
X has more options than W.
V and Z have exactly one option in common.
T has fewer options than Z.

Q103. Which one of the following must be false?

Directions for Questions 102 to 107: A retail electronics showroom chain has six new mobile phone models, T, V, W, X, Y and Z, each equipped with at least one of three options: digital camera, music player and office document viewer. No phone has any other option. The following conditions apply:

V features both a digital camera and an office document viewer.
W has a digital camera and a music player.
W and Y have no options in common.
X has more options than W.
V and Z have exactly one option in common.
T has fewer options than Z.

Q104. If Z has no option in common with T but has at least one option in common with every other mobile phone, then which one of the following must be false?

Directions: Each group of questions in this section is based on a set of conditions. In answering some of the questions, it may help to draw a rough diagram. Choose the response that most accurately and completely answers each question.

Questions 91 to 96: Seven film buffs, Gangadhar, Indra, Lalatakshaya, Maheshwar, Rudra, Vyomkesha, and Yogi, attend a showing of classic films. Three films are shown, one each directed by Guru Dutt, Satyajit Ray, and Ritwik Ghatak. Each film buff sees exactly one of the three films. The films are shown only once, one film at a time. The following restrictions apply:

Exactly twice as many of the film buffs see the Satyajit Ray film as see the Guru Dutt film.
Gangadhar and Rudra do not see the same film as each other.
Indra and Maheshwar do not see the same film as each other.
Vyomkesha and Yogi see the same film as each other.
Lalatakshaya sees the Satyajit Ray film.
Gangadhar sees either the Guru Dutt film or the Ritwik Ghatak film.

95. If Vyomkesha and Gangadhar see the same film, then which one of the following could be true?

Directions for Questions 97 to 101: A company launches eight products, Q, R, S, T, V, W, Y and Z, in one of the four metros of India. The products are launched one after another over a period of six months in 2006. The order of launch follows these conditions:

V is launched before both Y and Q.
Q gets launched after Z.
T gets launched before V but after R.
S gets launched after V.
R gets launched before W.

Q100. If R is the second product to be launched, which one of the following MUST be true?

Directions: Each group of questions in this section is based on a set of conditions. In answering some of the questions, it may help to draw a rough diagram. Choose the response that most accurately and completely answers each question.

Questions 91 to 96: Seven film buffs, Gangadhar, Indra, Lalatakshaya, Maheshwar, Rudra, Vyomkesha, and Yogi, attend a showing of classic films. Three films are shown, one each directed by Guru Dutt, Satyajit Ray, and Ritwik Ghatak. Each film buff sees exactly one of the three films. The films are shown only once, one film at a time. The following restrictions apply:

Exactly twice as many of the film buffs see the Satyajit Ray film as see the Guru Dutt film.
Gangadhar and Rudra do not see the same film as each other.
Indra and Maheshwar do not see the same film as each other.
Vyomkesha and Yogi see the same film as each other.
Lalatakshaya sees the Satyajit Ray film.
Gangadhar sees either the Guru Dutt film or the Ritwik Ghatak film.

96. Each of the following could be a complete and accurate list of the film buffs who see the Guru Dutt film EXCEPT:

Directions: Each group of questions in this section is based on a set of conditions. In answering some of the questions, it may help to draw a rough diagram. Choose the response that most accurately and completely answers each question.

Questions 97 to 101: A company launches eight products, Q, R, S, T, V, W, Y, and Z, in one of the four metros of India. The products were launched one after the other over a period of six months in 2006. The order in which the products were launched is consistent with the following conditions:

V is launched before both Y and Q.
Q gets launched after Z.
T gets launched before V but after R.
S gets launched after V.
R gets launched before W.

97. Which one of the following could be true?

Directions for Questions 97 to 101: A company launches eight products, Q, R, S, T, V, W, Y and Z, in one of the four metros of India. The products are launched one after another over a period of six months in 2006. The order of launch follows these conditions:

V is launched before both Y and Q.
Q gets launched after Z.
T gets launched before V but after R.
S gets launched after V.
R gets launched before W.

Q98. If Z is the seventh product to be launched, then which one of the following could be true?

Directions for Questions 97 to 101: A company launches eight products, Q, R, S, T, V, W, Y and Z, in one of the four metros of India. The products are launched one after another over a period of six months in 2006. The order of launch follows these conditions:

V is launched before both Y and Q.
Q gets launched after Z.
T gets launched before V but after R.
S gets launched after V.
R gets launched before W.

Q99. If Q is the fifth product to be launched, then each of the following could be true EXCEPT:

Directions: Each group of questions in this section is based on a set of conditions. In answering some of the questions, it may help to draw a rough diagram. Choose the response that most accurately and completely answers each question.

Questions 91 to 96: Seven film buffs, Gangadhar, Indra, Lalatakshaya, Maheshwar, Rudra, Vyomkesha, and Yogi, attend a showing of classic films. Three films are shown, one each directed by Guru Dutt, Satyajit Ray, and Ritwik Ghatak. Each film buff sees exactly one of the three films. The films are shown only once, one film at a time. The following restrictions apply:

Exactly twice as many of the film buffs see the Satyajit Ray film as see the Guru Dutt film.
Gangadhar and Rudra do not see the same film as each other.
Indra and Maheshwar do not see the same film as each other.
Vyomkesha and Yogi see the same film as each other.
Lalatakshaya sees the Satyajit Ray film.
Gangadhar sees either the Guru Dutt film or the Ritwik Ghatak film.

92. Each of the following must be false EXCEPT:

Directions: Each group of questions in this section is based on a set of conditions. In answering some of the questions, it may help to draw a rough diagram. Choose the response that most accurately and completely answers each question.

Questions 91 to 96: Seven film buffs, Gangadhar, Indra, Lalatakshaya, Maheshwar, Rudra, Vyomkesha, and Yogi, attend a showing of classic films. Three films are shown, one each directed by Guru Dutt, Satyajit Ray, and Ritwik Ghatak. Each film buff sees exactly one of the three films. The films are shown only once, one film at a time. The following restrictions apply:

Exactly twice as many of the film buffs see the Satyajit Ray film as see the Guru Dutt film.
Gangadhar and Rudra do not see the same film as each other.
Indra and Maheshwar do not see the same film as each other.
Vyomkesha and Yogi see the same film as each other.
Lalatakshaya sees the Satyajit Ray film.
Gangadhar sees either the Guru Dutt film or the Ritwik Ghatak film.

91. Which one of the following could be an accurate matching of film buffs to films?

Directions: Each group of questions in this section is based on a set of conditions. In answering some of the questions, it may help to draw a rough diagram. Choose the response that most accurately and completely answers each question.

Questions 91 to 96: Seven film buffs, Gangadhar, Indra, Lalatakshaya, Maheshwar, Rudra, Vyomkesha, and Yogi, attend a showing of classic films. Three films are shown, one each directed by Guru Dutt, Satyajit Ray, and Ritwik Ghatak. Each film buff sees exactly one of the three films. The films are shown only once, one film at a time. The following restrictions apply:

Exactly twice as many of the film buffs see the Satyajit Ray film as see the Guru Dutt film.
Gangadhar and Rudra do not see the same film as each other.
Indra and Maheshwar do not see the same film as each other.
Vyomkesha and Yogi see the same film as each other.
Lalatakshaya sees the Satyajit Ray film.
Gangadhar sees either the Guru Dutt film or the Ritwik Ghatak film.

93. Which one of the following could be a complete and accurate list of the film buffs who DO NOT see the Satyajit Ray film?

Directions: Each group of questions in this section is based on a set of conditions. In answering some of the questions, it may help to draw a rough diagram. Choose the response that most accurately and completely answers each question.

Questions 91 to 96: Seven film buffs, Gangadhar, Indra, Lalatakshaya, Maheshwar, Rudra, Vyomkesha, and Yogi, attend a showing of classic films. Three films are shown, one each directed by Guru Dutt, Satyajit Ray, and Ritwik Ghatak. Each film buff sees exactly one of the three films. The films are shown only once, one film at a time. The following restrictions apply:

Exactly twice as many of the film buffs see the Satyajit Ray film as see the Guru Dutt film.
Gangadhar and Rudra do not see the same film as each other.
Indra and Maheshwar do not see the same film as each other.
Vyomkesha and Yogi see the same film as each other.
Lalatakshaya sees the Satyajit Ray film.
Gangadhar sees either the Guru Dutt film or the Ritwik Ghatak film.

94. If exactly one film buff sees the Ritwik Ghatak film, then which one of the following must be true?

Directions for questions 86 to 90: Study the tables of the Indian foreign trade given below to answer the questions.

Principal Commodities\' Import - Weight (%)
COMMODITIES	2003-04	2004-05	2005-06
Bulk imports	37.87	39.09	42.56
Pearls, precious & semi-precious stones	9.25	8.80	6.42
Machinery	10.63	10.00	10.94
Project Goods	0.49	0.54	0.57
Others	41.76	41.57	39.51
TOTAL IMPORTS	100.00	100.00	100.00
Total Imports (in Crore of Rupees)	359107.66	501064.54	630526.77

Principal Commodities\' Export - Weight (%)
COMMODITIES	2003-04	2004-05	2005-06
Plantations	0.92	0.78	0.71
Agri & allied products	8.39	7.61	7.21
Marine products	2.08	1.60	1.40
Ores & minerals	3.69	5.29	6.02
Leather & mfrs.	3.19	2.89	2.56
Gems & jewellery	16.56	17.29	15.13
Sports goods	0.15	0.12	0.13
Chemicals & related products	15.43	16.00	15.10
Engineering goods	16.41	18.41	18.66
Electronic goods	2.74	2.28	2.18
Project goods	0.09	0.06	0.13
Textiles	18.86	15.16	14.80
Handicrafts	0.70	0.43	0.40
Carpets	0.90	0.75	0.81
Cotton raw incl. waste	0.28	0.10	0.61
Petroleum products	5.54	8.57	11.21
Unclassified exports	4.07	2.66	2.94
GRAND TOTAL	100.00	100.00	100.00
Total Exports in Rupees Crore	293366.75	375339.53	454799.97
US Dollar Exchange Rate	45.9513	44.9315	44.2735

Growth of trade imbalance (exports less imports) in dollar terms in the year 2005-06 as compared to the previous year was:

Directions for questions 86 to 90: Study the tables of the Indian foreign trade given below to answer the questions.

Principal Commodities\' Import - Weight (%)
COMMODITIES	2003-04	2004-05	2005-06
Bulk imports	37.87	39.09	42.56
Pearls, precious & semi-precious stones	9.25	8.80	6.42
Machinery	10.63	10.00	10.94
Project Goods	0.49	0.54	0.57
Others	41.76	41.57	39.51
TOTAL IMPORTS	100.00	100.00	100.00
Total Imports (in Crore of Rupees)	359107.66	501064.54	630526.77

Principal Commodities\' Export - Weight (%)
COMMODITIES	2003-04	2004-05	2005-06
Plantations	0.92	0.78	0.71
Agri & allied products	8.39	7.61	7.21
Marine products	2.08	1.60	1.40
Ores & minerals	3.69	5.29	6.02
Leather & mfrs.	3.19	2.89	2.56
Gems & jewellery	16.56	17.29	15.13
Sports goods	0.15	0.12	0.13
Chemicals & related products	15.43	16.00	15.10
Engineering goods	16.41	18.41	18.66
Electronic goods	2.74	2.28	2.18
Project goods	0.09	0.06	0.13
Textiles	18.86	15.16	14.80
Handicrafts	0.70	0.43	0.40
Carpets	0.90	0.75	0.81
Cotton raw incl. waste	0.28	0.10	0.61
Petroleum products	5.54	8.57	11.21
Unclassified exports	4.07	2.66	2.94
GRAND TOTAL	100.00	100.00	100.00
Total Exports in Rupees Crore	293366.75	375339.53	454799.97
US Dollar Exchange Rate	45.9513	44.9315	44.2735

Given that the weight (%) of Petroleum crude and products in the total imports of India is 26.70, 27.87, and 30.87 in the years 2003-04, 2004-05, and 2005-06 respectively. What is the ratio of yearly difference in the export of Petroleum Products and import of Petroleum crude and products, in dollar terms, in the year 2005-06 versus 2004-05?

Directions for questions 84 and 85: Study the aggregate financial ratios of all registered Indian manufacturing companies in the table below to answer the questions that follow.

All figures are as % of net sales unless otherwise mentioned
	2000	2001	2002	2003	2004	2005
PBDIT	13.1	11.7	12.3	13.3	14.4	14.7
PBDT	8.1	7.1	8	9.9	11.8	12.7
PBIT	9.4	8.4	8.7	9.9	11	11.6
PAT	3.2	2.8	2.7	4.4	6	6.9
Raw Material expense	41	40.6	43.1	45.5	45.7	47.1
Salaries and wages	5.9	5.7	5.6	5.3	4.9	4.4
Interest payments	4.6	4.3	4	3.1	2.3	1.7
Operating profit	5.2	4.2	4.9	6.7	8	8.7
Net sales (% Growth Over Previous Year)	18.4	19.3	2.6	15.7	15.2	19.9

What is the annual growth rate in aggregate PAT of the Indian manufacturing companies in the financial year 2005 as compared to that in the financial year 2004?

Directions for questions 86 to 90: Study the tables of the Indian foreign trade given below to answer the questions.

Principal Commodities\' Import - Weight (%)
COMMODITIES	2003-04	2004-05	2005-06
Bulk imports	37.87	39.09	42.56
Pearls, precious & semi-precious stones	9.25	8.80	6.42
Machinery	10.63	10.00	10.94
Project Goods	0.49	0.54	0.57
Others	41.76	41.57	39.51
TOTAL IMPORTS	100.00	100.00	100.00
Total Imports (in Crore of Rupees)	359107.66	501064.54	630526.77

Principal Commodities\' Export - Weight (%)
COMMODITIES	2003-04	2004-05	2005-06
Plantations	0.92	0.78	0.71
Agri & allied products	8.39	7.61	7.21
Marine products	2.08	1.60	1.40
Ores & minerals	3.69	5.29	6.02
Leather & mfrs.	3.19	2.89	2.56
Gems & jewellery	16.56	17.29	15.13
Sports goods	0.15	0.12	0.13
Chemicals & related products	15.43	16.00	15.10
Engineering goods	16.41	18.41	18.66
Electronic goods	2.74	2.28	2.18
Project goods	0.09	0.06	0.13
Textiles	18.86	15.16	14.80
Handicrafts	0.70	0.43	0.40
Carpets	0.90	0.75	0.81
Cotton raw incl. waste	0.28	0.10	0.61
Petroleum products	5.54	8.57	11.21
Unclassified exports	4.07	2.66	2.94
GRAND TOTAL	100.00	100.00	100.00
Total Exports in Rupees Crore	293366.75	375339.53	454799.97
US Dollar Exchange Rate	45.9513	44.9315	44.2735

In the two year period from 2004-05 to 2005-06, the average growth in import (in Indian Rupees) of which commodity to India was maximum?

Directions for questions 86 to 90: Study the tables of the Indian foreign trade given below to answer the questions.

Principal Commodities\' Import - Weight (%)
COMMODITIES	2003-04	2004-05	2005-06
Bulk imports	37.87	39.09	42.56
Pearls, precious & semi-precious stones	9.25	8.80	6.42
Machinery	10.63	10.00	10.94
Project Goods	0.49	0.54	0.57
Others	41.76	41.57	39.51
TOTAL IMPORTS	100.00	100.00	100.00
Total Imports (in Crore of Rupees)	359107.66	501064.54	630526.77

Principal Commodities\' Export - Weight (%)
COMMODITIES	2003-04	2004-05	2005-06
Plantations	0.92	0.78	0.71
Agri & allied products	8.39	7.61	7.21
Marine products	2.08	1.60	1.40
Ores & minerals	3.69	5.29	6.02
Leather & mfrs.	3.19	2.89	2.56
Gems & jewellery	16.56	17.29	15.13
Sports goods	0.15	0.12	0.13
Chemicals & related products	15.43	16.00	15.10
Engineering goods	16.41	18.41	18.66
Electronic goods	2.74	2.28	2.18
Project goods	0.09	0.06	0.13
Textiles	18.86	15.16	14.80
Handicrafts	0.70	0.43	0.40
Carpets	0.90	0.75	0.81
Cotton raw incl. waste	0.28	0.10	0.61
Petroleum products	5.54	8.57	11.21
Unclassified exports	4.07	2.66	2.94
GRAND TOTAL	100.00	100.00	100.00
Total Exports in Rupees Crore	293366.75	375339.53	454799.97
US Dollar Exchange Rate	45.9513	44.9315	44.2735

In the year 2005-06 the commodity which witnessed maximum growth in exports (in Indian Rupees) as compared to the year 2004-05 is:

Directions for questions 86 to 90: Study the tables of the Indian foreign trade given below to answer the questions.

Principal Commodities\' Import - Weight (%)
COMMODITIES	2003-04	2004-05	2005-06
Bulk imports	37.87	39.09	42.56
Pearls, precious & semi-precious stones	9.25	8.80	6.42
Machinery	10.63	10.00	10.94
Project Goods	0.49	0.54	0.57
Others	41.76	41.57	39.51
TOTAL IMPORTS	100.00	100.00	100.00
Total Imports (in Crore of Rupees)	359107.66	501064.54	630526.77

Principal Commodities\' Export - Weight (%)
COMMODITIES	2003-04	2004-05	2005-06
Plantations	0.92	0.78	0.71
Agri & allied products	8.39	7.61	7.21
Marine products	2.08	1.60	1.40
Ores & minerals	3.69	5.29	6.02
Leather & mfrs.	3.19	2.89	2.56
Gems & jewellery	16.56	17.29	15.13
Sports goods	0.15	0.12	0.13
Chemicals & related products	15.43	16.00	15.10
Engineering goods	16.41	18.41	18.66
Electronic goods	2.74	2.28	2.18
Project goods	0.09	0.06	0.13
Textiles	18.86	15.16	14.80
Handicrafts	0.70	0.43	0.40
Carpets	0.90	0.75	0.81
Cotton raw incl. waste	0.28	0.10	0.61
Petroleum products	5.54	8.57	11.21
Unclassified exports	4.07	2.66	2.94
GRAND TOTAL	100.00	100.00	100.00
Total Exports in Rupees Crore	293366.75	375339.53	454799.97
US Dollar Exchange Rate	45.9513	44.9315	44.2735

The three commodities which had highest export growth rate in the year 2004-05 as compared to the previous year, arranged in descending order of growth rates are:

DIRECTIONS for questions 82 and 83: The graph below gives the number of electronic commerce transactions that took place in the last six months of financial year 2005. This graph shows data for private consumption only and does not include corporate electronic commerce activity. The numbers above each bar are in millions, and the average price per unit for each product category is shown in brackets in the legend.

If the airline ticket purchases made through internet increase by 20% and the average price of the airline ticket increases by 25%, then the net increase in revenues from the e-commerce activities worldwide will be ____ per cent of the corresponding pre-price-increase revenues.

Directions for questions 84 and 85: Study the aggregate financial ratios of all registered Indian manufacturing companies in the table below to answer the questions that follow.

All figures are as % of net sales unless otherwise mentioned
	2000	2001	2002	2003	2004	2005
PBDIT	13.1	11.7	12.3	13.3	14.4	14.7
PBDT	8.1	7.1	8	9.9	11.8	12.7
PBIT	9.4	8.4	8.7	9.9	11	11.6
PAT	3.2	2.8	2.7	4.4	6	6.9
Raw Material expense	41	40.6	43.1	45.5	45.7	47.1
Salaries and wages	5.9	5.7	5.6	5.3	4.9	4.4
Interest payments	4.6	4.3	4	3.1	2.3	1.7
Operating profit	5.2	4.2	4.9	6.7	8	8.7
Net sales (% Growth Over Previous Year)	18.4	19.3	2.6	15.7	15.2	19.9

In which year the annual growth rate in the aggregate Salaries and Wages expense was maximum?

DIRECTIONS for questions 78 to 81: Read the data below and choose the correct option for the questions that follow.

Queen Airlines offers the following Privilege programme: there are 5 membership tiers, each with its own set of enhanced tier-specific benefits. New members join at the Blue tier, then upgrade to Blue Plus, which adds the benefit of Tele check-in. The programme also has three elite tiers, Silver, Gold and Platinum. The 6-month fast-track upgrade and the 12-month standard upgrade system work in parallel: whenever a passenger meets the condition for the next tier, either in terms of the number of flights taken in the stipulated period or in terms of accumulated Queen-Miles, in either of the two systems, the passenger is automatically upgraded to the next tier. The 6-month system looks at a rolling 6-month period, and the 12-month system looks at a rolling 12-month period. If conditions for more than one upgrade are met at the same time, the passenger is given the higher of the two tiers.

Tier Upgrade	6-month Fast Track Upgrade System (Cumulative flights / Cumulative Queen-Miles)	12-month Standard Upgrade System (Cumulative flights / Cumulative Queen-Miles)
Blue to Blue Plus	3 / 3,000	Not Applicable
Blue Plus to Silver	Not Applicable	5 / 12,500
Silver to Gold	5 / 12,500	10 / 20,000
Gold to Platinum	10 / 20,000	20 / 30,000

Benefits and Privileges

	Blue Plus	Silver	Gold	Platinum
Tele Check-in	✓	✓	✓	✓
Additional baggage allowance		10 kgs	20 kgs	35 kgs
Confirmed upgrade vouchers		1	3	5
Guaranteed reservations upto 24 hours prior to departure			✓	✓
Cancellation fees waived on published fares				✓

Distances between cities in Queen-miles

	Delhi	Kolkata	Mumbai	Hyderabad	Bangalore	Coimbatore	Guwahati
Kolkata	1461
Mumbai	1407	1987
Hyderabad	1499	1516	711
Bangalore	2061	1881	998	562
Coimbatore	2401	2167	1265	902	340
Guwahati	1959	1081	2746	2370	2932	3209
Chennai	2095	1676	1329	688	331	491	2718

Mr Kakkar, a newly recruited MBA from a business school, started his career at the start of 2007. His travel plan for 2007 is given below.

Date	From	To
2.1.2007	Mumbai	Hyderabad
8.1.2007	Hyderabad	Mumbai
3.2.2007	Mumbai	Delhi
8.3.2007	Delhi	Guwahati
20.3.2007	Guwahati	Kolkata
11.4.2007	Kolkata	Guwahati
30.4.2007	Guwahati	Chennai
4.7.2007	Chennai	Guwahati
20.7.2007	Guwahati	Kolkata
2.9.2007	Kolkata	Hyderabad
11.9.2007	Hyderabad	Guwahati
22.9.2007	Guwahati	Delhi
1.10.2007	Chennai	Bangalore
11.10.2007	Guwahati	Chennai
4.11.2007	Chennai	Delhi
29.11.2007	Delhi	Hyderabad
1.12.2007	Hyderabad	Guwahati
31.12.2007	Guwahati	Mumbai

The difference in complete calendar months, discounting any partial months, between the first tier upgrade and the last tier upgrade for Mr Kakkar is:

DIRECTIONS for questions 78 to 81: Read the data below and choose the correct option for the questions that follow.

Queen Airlines offers the following Privilege programme: there are 5 membership tiers, each with its own set of enhanced tier-specific benefits. New members join at the Blue tier, then upgrade to Blue Plus, which adds the benefit of Tele check-in. The programme also has three elite tiers, Silver, Gold and Platinum. The 6-month fast-track upgrade and the 12-month standard upgrade system work in parallel: whenever a passenger meets the condition for the next tier, either in terms of the number of flights taken in the stipulated period or in terms of accumulated Queen-Miles, in either of the two systems, the passenger is automatically upgraded to the next tier. The 6-month system looks at a rolling 6-month period, and the 12-month system looks at a rolling 12-month period. If conditions for more than one upgrade are met at the same time, the passenger is given the higher of the two tiers.

Tier Upgrade	6-month Fast Track Upgrade System (Cumulative flights / Cumulative Queen-Miles)	12-month Standard Upgrade System (Cumulative flights / Cumulative Queen-Miles)
Blue to Blue Plus	3 / 3,000	Not Applicable
Blue Plus to Silver	Not Applicable	5 / 12,500
Silver to Gold	5 / 12,500	10 / 20,000
Gold to Platinum	10 / 20,000	20 / 30,000

Benefits and Privileges

	Blue Plus	Silver	Gold	Platinum
Tele Check-in	✓	✓	✓	✓
Additional baggage allowance		10 kgs	20 kgs	35 kgs
Confirmed upgrade vouchers		1	3	5
Guaranteed reservations upto 24 hours prior to departure			✓	✓
Cancellation fees waived on published fares				✓

Distances between cities in Queen-miles

	Delhi	Kolkata	Mumbai	Hyderabad	Bangalore	Coimbatore	Guwahati
Kolkata	1461
Mumbai	1407	1987
Hyderabad	1499	1516	711
Bangalore	2061	1881	998	562
Coimbatore	2401	2167	1265	902	340
Guwahati	1959	1081	2746	2370	2932	3209
Chennai	2095	1676	1329	688	331	491	2718

Mr Kakkar, a newly recruited MBA from a business school, started his career at the start of 2007. His travel plan for 2007 is given below.

Date	From	To
2.1.2007	Mumbai	Hyderabad
8.1.2007	Hyderabad	Mumbai
3.2.2007	Mumbai	Delhi
8.3.2007	Delhi	Guwahati
20.3.2007	Guwahati	Kolkata
11.4.2007	Kolkata	Guwahati
30.4.2007	Guwahati	Chennai
4.7.2007	Chennai	Guwahati
20.7.2007	Guwahati	Kolkata
2.9.2007	Kolkata	Hyderabad
11.9.2007	Hyderabad	Guwahati
22.9.2007	Guwahati	Delhi
1.10.2007	Chennai	Bangalore
11.10.2007	Guwahati	Chennai
4.11.2007	Chennai	Delhi
29.11.2007	Delhi	Hyderabad
1.12.2007	Hyderabad	Guwahati
31.12.2007	Guwahati	Mumbai

The number of complete calendar months, discounting any partial months, for which Mr Kakkar avails the Gold tier membership is: