In a B-School there are three levels of faculty positions i.e. Professor, Associate Professor and Assistant Professor. It is found that the sum of the ages of all faculty present is 2160, their average age is 36; the average age of the Professor and ?->(Show Answer!)

1. In a B-School there are three levels of faculty positions i.e. Professor, Associate Professor and Assistant Professor. It is found that the sum of the ages of all faculty present is 2160, their average age is 36; the average age of the Professor and Associate Professor is 39; of the Associate Professor and Assistant Professor is $$32\frac{8}{11}$$; of the Professor and Assistant Professor is $$36\frac{2}{3}$$; Had each professor been 1 year older, each Associate Professor 6 years older, and each Assistant Professor 7 years older, then their average age would increase by 5 years. What will be the number of faculty at each level and their average ages?

Write Comment

Comments

Tags

Show Similar Question And Answers

QA->The ratio of the age of two sisters is 3:The product of their ages is The ratio of their ages after 5 years will be:....

QA->Average age of 15persons is 24 years. Later a boy is included into this group then average becomes 23 years. The age of the boy will be:....

QA->In a class of 20 students the average age is 16 years.If the age of the class teacher is added to that of students,the average age of the class becomes 17 years.What is the age of the teacher?....

QA->The sum and product of two numbers are 13 and 40 respectively. The sum of their reciprocals is :....

QA->There are 50 students in a class. In a class test 22 students get 25 marks each, 18 students get 30 marks each. Each of the remaining gets 16 marks. The average mark of the whole class is :....

MCQ->In a B-School there are three levels of faculty positions i.e. Professor, Associate Professor and Assistant Professor. It is found that the sum of the ages of all faculty present is 2160, their average age is 36; the average age of the Professor and Associate Professor is 39; of the Associate Professor and Assistant Professor is $$32\frac{8}{11}$$; of the Professor and Assistant Professor is $$36\frac{2}{3}$$; Had each professor been 1 year older, each Associate Professor 6 years older, and each Assistant Professor 7 years older, then their average age would increase by 5 years. What will be the number of faculty at each level and their average ages?....

MCQ-> Read the following passage carefully and answer the question given below it. Certain words/phrases have been printed in bold to help you locate them while answering some of the questions. There was a country long time ago where the people would change a king every year. The person who would become the king had to agree to a contract that he would be sent to an island after one year of his being a king. One King had finished his term and it was time for him to go to the island and live there.The people dressed him up in expensive clothes and put him on an elephant and took him to around the cities to say goodbye to all the people. This was a moment of sadness for all kings who ruled for one year. After bidding farewell the people took the king to a remote island in a boat and left him there. On their way back they discovered a ship that had sunk just recently.They saw a young man who survived by holding on to a floating piece of wood. As they needed a new king, they picked up the young man and took him to their country. They requested him to be king for a year. First he refused but later he agreed to be the king. People told him about all the rules and regulations and about how he would be sent to an island after one year. After three days of being a king he asked the ministers if they could show him the island where all the other kings were sent. They agreed and took him to the island. The island was covered with a thick jungle and sounds of vicious animals were heard coming out of it. The king went a little bit further to check. Soon he discovered dead bodies of all the past kings.He understood that as soon as they were left on the island the wild animals had come and killed them. The king went back to the country and collected 100 strong workers. He took them to the island and instructed them to clean the jungle, remove all the deadly animals and cut down all excess trees. He would visit the island every month to see how the work was progressing. In the first month all the animals were removed and many trees were cut down. In the second month all the island were cleaned out. The king then told the workers to plant gardens in various parts of the island. He also took with himself useful animals like chickens, ducks, birds, goats,cows etc. In the third month he ordered the workers to build big house and docking stations for ships. Over the months the island turned into a beautiful place. The young king would wear simple clothes and spend very little from his earning as a king. He sent all the earnings to the island for storage. When nine months passed like this the king called the ministers and told them “I know that I have go to the island after one year but I would like to go there right now. But the ministers didn’t agree to this and said that he had to wait for another three months to complete the year. Three months passed and now it was a full year. The people dressed up the young king and put on an elephant to take him around the country to say goodbye to others. However this king was unusually happy to leave the kingdom. People asked him "All the other kings would cry at this moment. Why is it that you are laughing?". He replied “Don’t you know what the wise people say? They say that when you come to this world as a baby you are crying and everyone else is smiling. Live such a life that when you die you will be smiling and everyone around you will be crying. I have lived that life. While all the other kings were lost into the luxuries of the kingdom, I always thought about the future and planned for it. I turned the deadly island into a beautiful abode for me where I can stay peacefully”.Why did the people of the kingdom change the king every year ?
....

MCQ-> Read the following passage and answer the questions given below it. Certain words/phrases in the passage have been printed in bold to help you locate them while answering some of the questions.Marc Rodin flicked-off the switch of his transistor radio and rose from the table, leaving the breakfast tray almost untouched. He walked over to the window, lit another in the endless chain of cigarettes and gazed out at the snow-en-crusted landscape which the late arriving spring had not yet started to dismantle. He murmured a word quietly and with great venom, following up with other strong nouns and epithets that expressed his feeling towards the French President, his Government and the Action Service. Rodin was unlike his predecessor in almost every way. Tall and spare, with a cadaverous face hollowed by the hatred within, he usually masked his emotions with an un-Latin frigidity. For him there had been no Ecole Polytechnic to open doors to promotion. The son of a cobbler, he had escaped to England by fishing boat in the halcyon days of his late teens when the Germans overran France, and had enlisted as a private soldier under the banner of the Cross of Lorraine. Promotion through sergeant to warrant officer had come the hard way, in bloody battles across the face on North Africa under Koenig and later through the hedgerows of Normandy with Leclerc. A field commission during the fight for Paris had got him the officer’s chevrons his education and breeding could never have obtained and in post-war France the choice had been between reverting to civilian life or staying in the Army. But revert to what ? He had no trade but that of cobbler which his father had taught him, and he found the working class of his native country dominated by Communists, who had also taken over the Resistance and the Free French of the Interior. So he stayed in the Army, later to experience the bitterness of an officer from the ranks who saw a new young generation of educated boys graduating from the officer schools, earning in theoretical lessons carried out in classrooms the same chevrons he had sweated blood for. As he wanted them pass him in tank and privilege the bitterness started to set in. There was only one thing left to do, and that was join one of the colonial regiments, the tough crack soldiers who did the fighting while the conscript army paraded round drill squares. He managed a transfer to the colonial para-troops. Within a year he had been a company commander in Indo-China, living among other men who spoke and thought as he did. For a young man from a cobbler’s bench, promotion could still be obtained through combat, and more combat. By the end of the Indo-China campaign he was a major and after an unhappy and frustrating year in France he was sent to Algeria. The French withdrawal from Indo-China do the year he spent in France had turned his latent bitterness into a consuming loathing of politicians and Communists, whom he regarded as one and the same thing. Not until Franco was ruled by a soldier could she ever be weaned away from the grip of the treators and lickspittles who permeated her public life. Only in the Army were both breeds extinct. Like most combat officers who had seen their men die and occasionally buried the hideously mutilated bodies of those unlucky enough to be taken alive. Rodin worshipped soldiers as the true salt of the earth, the men who sacrificed themselves in blood so that the bourgeoisie could live at home in comfort. To learn from the civilians of native land after eight years of combat in the forests of Indo-China that most of them cared not a fig for the soldier, to read the denunciations of the military by the left-wing intellectuals for more trifles like the toturing of prisoners to obtain vital information, had set off inside Marc Rodin a reaction which combined with the native bitterness stemming from his own lack of opportunity, had turned into zealotry. He remained convinced that given enough backing by the civil authoritieS on the spot and the Government and people back home, the Army could have beaten the Viet-Minh. The cession of Indo-China had been a massive betrayal of the thousands of fine young men who had died there seemingly for nothing. For Rodin there would be, could be, no more betrayals. Algeria would prove it. He left the shore of Marseilles in the spring of 1956 as ner a happy man as he would ever be, convinced that the distant hills of Algeria would see the consummation of what he regarded as his life’s work, the apotheosis of the French Army in the eys of the world.What was the period when Rodin escaped to England ?
....

MCQ-> on the basis of the information given in the following case. Teknik Group of industries had businesses in different sectors ranging from manufacturing, construction, fish farming and hotels. These different businesses operated as semi-independent units managed by the unit level managers. Teknik’s management had an internal consultancy group called as Business Advisory Group (known internally as BAG). The 15 experts in BAG were hired personally by Mr. Teknikwala, the owner of Teknik, who wanted this core group of experts to help his organization grow fast without facing the typical growth hurdles. Most of them were specialists in fields like law, information technology, human resource management, and operations management. Almost all of them had experience spanning decades in the industry. Whenever any of the units faced any significant all units and it represented an extra work for those who were involved. This coordination was required to understand the different work processes and the users’ requirements. This coordination activity was being extensively managed by the old timers as they were familiar with internal processes and people in the different units. An external consultant was also hired for customization and implementation After two months, BAG teams had to fortnightly present their progress to Ms. Teknikwali’s team. In the last meeting Ms. Teknikwali was dissatisfied. She explained her thinking that since ERP impacted every aspect of the business, the roll out had to be done faster. She wanted Mr. Shiv to get the implementation completed ahead of schedule. In the meeting she asked Mr. Shiv to get the people in IT team to be more productive. Not willing to disagree, Mr. Shiv committed to a roll-out schedule of complete ERP system in 6 months instead of earlier decided 14 months. Next day, Mr. Shiv presented the revised project milestone to BAG members. He told them that in order to meet the deadline, the members were expected to work on week-ends till the completion of the project. Along with that, they were also expected to maintain their earlier standards of delivery time and quality for the normal trouble-shooting and internal advisory work. Mr. Shiv also pointed out that anyone whose performance did not meet the expectations would be subjected to formal disciplinary action. The meeting ended without any member commenting on Shiv’s ideas, although Mr. Shiv heard a lot of mumbling in the corridor. Over the week, Shiv noticed that the members seemed to avoid him and he had to make extra effort to get ideas from them. After a fortnight Shiv reviewed the attendance register and found the Mr. Lal, an old time member, had not come during the week-ends and certain decisions were held up due to lack of inputs from Mr. Lal. Mr. Shiv issued a written reprimand to Mr. Lal. He was speechless on receiving the reprimand but kept silent. It has been three days since that incident. Some of the senior members had put in request for transfer to other business units. It was rumoured that four problems, the unit level managers would put up a request for help to BAG. The problems ranged from installation of internal MIS systems, to financial advice related to leasing of equipment, to handling of employee grievances. Over a period of 20 years, Teknik’s revenues grew from 100 crore 10,000 crore with guidance of BAG and due to Mr. Tekinwala’s vision. Given its reputation in the industry, many people wanted to start their careers in BAG. Often young MBAs fresh out of business schools would apply. However their applications used to be rejected by Mr. Teknikwala, who had a preference for people with extensive industry experience. Things changed after the unfortunate demise of Mr. Teknikwala. His daughter Miss. Teknikwali took up the family business. She was an MBA from one of the premier business schools, and was working in a different company when Mr. Tekinwala passed away. She preferred that BAG developed new ideas and therefore inducted freshly graduated MBAs from premier business schools. She personally supervised the recruitment and selection process. Now the entire group constituted of 50 specialists, out of which 35 were the old time members. She also changed the reporting relationships in the BAG group with some of the older members being made to report to the new members. In IT team, Mr. Shiv, a newly recruited MBA, was made in-charge. For the older members it was a shock. However, as most of them were on the verge of retirement, and it would be challenging to search for new jobs while competing with younger professionals, they decided to play along. After one month, all business units were caught up in the ERP fever. This was an idea pushed by Ms. Teknikwali who the need the need to replace the old legacy systems with latest ERP system integrating all the units of Teknik. This was heavily influenced by her experience in the previous where an ERP system was already up and running. Therefore she was not aware of the difference between installing an ERP system and working on an already installed one. The ERP mplementation in Teknik Group required extensive coordination with senior level managers of senior legal experts had agreed to an offer from a law firm. Other senior members would sporadically come in late to work, citing health reasons. Almost all senior members now wanted a weekly work-routine to be prepared and given to them in advance so that they could deliver as per the schedule. This insistence on written communication was a problem as urgent problems or ad-hoc requests could not be foreseen and included. Also normal services to other business units were being unattended to, and there were complaints coming from the unit heads.Which of the following could have been a better response of Mr. Shiv to Ms. Teknikwali’s request to re-schedule the ERP implementation?....

MCQ-> Read the following passage and solve the questions based on it. a.Six Indian professors from six different institutions (Jupiter, Mars, Mercury, Neptune, Pluto, Uranus) went to China to attend an international conference on “Sustainability and Innovation in Management: A Global Scenario” and they stayed in six successive rooms on the second floor of a hotel (201 _ 206). b.Each of them has published papers in a number of journals and has donated to a number of institutions last year. c.The professor in room no. 202 has published in twice as many journals as the professor who donated to 8 institutions last year. d.The professor from Uranus and the Professor in room number 206 together published in a total of 40 journals. e.The professor from Jupiter published in 8 journals less than the professor from Pluto but donated to 10 more institutions last year. f.Four times the number of 4 journal publications by the professor in room number 204 is lesser than the number of institutions to which he donated last year. g.The professor in room number 203 published in 12 journals and donated to 8 institutions last year. h.The professor who published in 16 journals donated to 24 institutions last year. i.The professor in room number 205 published in 8 journals and donated to 2 institutions less than the professor from Mercury last year. The Mercury professor is staying in an odd numbered room. j.The Mars professor is staying two rooms ahead of Pluto professor who is staying two rooms ahead of the Mercury professor in ascending order of room numbers. k.The professors from Mercury and Jupiter do not stay in room number 206.In which room is the Mars professor staying?
....