Sample Question Paper for the post o Deputy Registrar, IIT Bombay

Transcription

1 Sample Question Paper for the post o Deputy Registrar, IIT Bombay Quantitative Aptitude : 1. A Bank gives Simple Interest at the rate of (15-n)% per annum where n is the number of completed years the amount has been with the Bank. At least how many years will an amount kept in the Bank take to be at least twice of it? (A)10 Years (B) 11 Years (C) 9 Years (D) 12 Years 2. There is a group of Nine Children, which includes two pairs of identical twins A, B and C, D. In how many ways can the nine children be seated in a row, so that A and B do not sit next to each other and C and D do not sit next to each other? (A)44 (7!) (B) 28 (7!) (C) 5 (8!) (D) 6 (8!) 3. Which of the following is a prime number (A)9 (B) 8 (C) 4 (D) 2 4. In a certain company, the Managers constitute 20% of the workforce by number and receive 80% of the total salary paid. On the other hand, the Clerks constitute 80% of the workforce by number and receive 20% of the total salary paid. The salary of all the Managers is equal and the salary of all the Clerks is also equal. If the company hires a few Managers and Clerks after which the total salary paid to Managers becomes twice that paid to the Clerks, what is the minimum number of Clerks hired, given that at least one new Manager was hired? (A)6 (B) 8 (C) 12 (D) If the number 5k2 is divisible by 6, then k=? (A)2 (B) 7 (C) 3 (D) 6 Logical Reasoning & Data Interpretation : The following two pie charts give the details of the number of professors in the age group of 35 to 50 years, in different departments, at an engineering college, during the year 2012 and the year No Faculty joined or left the college or shifted to another department during the period from 2012 to 2015

2 1. If the number of Professors in the college who crossed the age of 50 years between 2012 and 2015 is represented by x, the minimum possible value of x is. 2. What is the minimum possible number of professors who crossed the age of 35 years between 2012 and Three men, Amar, Kumar and Nandu, along with their respective wives are sitting in a row, with each of them either facing North or facing South. No pair of wife and husband are facing the same direction. Each of the six persons is a different professional among doctor, engineer, lawyer, professor, actor and accountant. Further it is known that : i. The doctor and the lawyer are facing the same direction and both of them are to the left of the accountant. ii. Priyanaka, the actor, is the wife of doctor, who, in turn, is sitting at one of the ends. iii. The engineer is facing South and he is the husband of Deepika, the accountant. iv. No person adhacent of Aishwarya is facing South and no one is sitting to the left of Amar, the professor. 1. Who among the following is to the immediate right of Aishwarya I. Priyanka II. Deepika III. Kumar IV. Cannot be determined 2. Which of the following statements is definitely true? I. No pair of wife and husband are adjacent to each other II. Exactly one pair of wife and husband are adjacent to each other III. At most one pair of wife and husband are adjacent to each other IV. At least one pair of wife and husband are adjacent to each other

3 Verbal Ability 1. In the past, marketers used celebrity endorsers to influence the purchase decision of consumers in order to increase their sales and extend their market shares. But, as more and more celebrities move to endorsing all kinds of products from fruit drinks to cars and pens, the Indian television viewer is becoming indifferent to their presence in a commercial. Celebrity attributes do not necessarily impact the purchase intention of the consumer. It does not make sense, therefore, for advertising firms to spend so much on celebrity endorsements when they can catch the viewer s imagination by making a more unusual advertisement. One may infer from the above paragraph that Options : 1. Celebrity endorsements are a thing of the past as non-celebrity endorsements positively impact the purchase intention of the consumer to a much greater extent. 2. Celebrity endorsements may work in today s scenario only if there is a relevant connection between the celebrity image and the images of the product that he is endorsing. 3. Commercials that are extraordinary will be noticed 4. Here are commercial with celebrities and more commercials with reallife people. For the reason best known to Indian historian and their publishers, maps have played only a marginal role in pedagogic endeavors; their inclusion in textbooks has been narrowly political. But in biology, maps and mapping techniques have been of prime importance. Since the beginning of time, people have yearned to explore the unknown, chart where they have been, and contemplate what they found. The maps we make of these treks enable the next explorers to push ever farther the boundaries of our knowledgeabout the earth, the sea, the sky, and indeed, ourselves. On a new quest to chart the innermost reaches of the human cell, scientists had set out on biology's most important mapping expedition: the Human Genome Project, to identify the full set of genetic instructions contained inside our cells and to read the complete text written in the language of the hereditary chemical DNA (deoxyribonucleic acid.) Scientists worked together to plot out several types of biological maps that can now enable researchers to find their way through the labyrinth of molecules that define the physical traits of a human being. Packed tightly into nearly every one of the several trillion body cells is a complete copy of the human genome - all the genes that make up the master blueprint for building a man or woman. One hundred thousand or so genes sequestered inside the nucleus of each cell are parceled among the 46 sausage-shaped genetic structures known as chromosomes. New maps developed through the Human Genome Project have enabled researchers to pinpoint specific genes on our chromosomes and decipher the genetic instructions encoded in the estimated 3 billion base pairs of

4 nucleotide bases that make up human DNA. Analysis of this information has revolutionized our understanding of how genes control the overall functions of the human body. This knowledge has provided new strategies to diagnose, treat, and possibly prevent human diseases. It has helped explain the mysteries of embryonic development and give us important insights into our evolutionary past. The development of gene-splicing techniques over past 20 years has given scientists remarkable opportunities to understand the molecular basis of how a cell functions, not only in disease, but in everyday activities as well. Using these techniques, scientists have mapped out the genetic molecules, or genes, that control many life processes in common microorganisms. Continued improvement of these biotechniques has allowed researchers to begin to develop maps of human chromosomes, which contain many more time the amount of genetic information than those of microorganism. Though still somewhat crude, these maps have led to the discovery of some important genes. Most inherited diseases are rare, but taken together, the more than 3,000 disorders known to result from single altered genes rob millions of healthy and productive lives. Today, little can be done to treat, let alone cure, most of these diseases. But having a gene in hand allows scientist to study its structure and characterize the molecular alterations, or mutations, that result in disease. Progress in understanding the causes of cancer, for example, has taken a leap forward by the recent discovery of cancer genes. The goals of the Human Genome Project was to provide scientist with powerful new tools to help them clear the research hurdles that now keep them from understanding the molecular essence of other tragic and devastating illness, such as schizophrenia, alcoholism, Alzheimer's disease, and manic depression. Gene mutations probably play a role in many of today's most common diseases-believed to result from complex interactions between genes and environmental factors. When genes for diseases have been identified, scientists can study how specific environmental factors, such as food, drugs, or pollutants interact with those genes. Once a gene is located on a chromosomes and its DNA sequence worked out, scientists determine which protein the gene is responsible for making and find out what it does in the body. One can understand the mechanism of a genetic disease and eventually conquer it. Genetic disease can be treated by correcting errors in the gene itself, replacing its abnormal protein with a normal one, or by switching the faulty gene off. What finding can the location of a gene and its DNA sequence lead to?

5 1. The Scientist can determine which protein is made by that gene and its function in the body. 2. It would help in understanding how genes control the metabolic functions of a human body. 3. It would go a long way in preventing many hereditary illnesses. 4. It would help to find the genome which is clustered inside the nucleus of each cell. Having a gene map in hand allows scientist to 1. trace the lineage of a family, and decipher the resemblances to the ancestors. 2. Find the cure for various illness like tuberculosis. 3. Study the molecular alterations or mutations that define the physical traits of a person. 4. Find a cause for birth defects and also helps in achieving accuracy in the techniques of gene splicing and recombinant DNA technology. The passage starts with a/an and the movement of thought (thoughtflow) is from 1. analogy. The specific to the general. 2. comparison. the general to the specific 3. debate. the biological to the physiological. 4. hypothesis the biological to the logical. Suggest a suitable title for the passage. 1. Man and the Gene 2. The Science of Genealogy 3. Genes- All the mysteries of the Human body unravelled 4. Genome Research- A journey into our chromosomes.