1. The state having the highest number of publications





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MCQ-> There were a hundred schools in a town. Of these, the number of schools having a play - ground was 30, and these schools had neither a library nor a laboratory. The number of schools having a laboratory alone was twice the number of those having a library only. The number of schools having a laboratory as well as a library was one-fourth the number of those having a laboratory alone. The number of schools having either a laboratory or a library or both was 35.How many schools had none of the three viz., laboratory, library or play - ground?
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MCQ-> In each of the following questions two rows of number are given. The resultant number in each row is to be worked out separately based on the following rules and the question below the row is to be answered. The operations of number progress from the left to right. Rules: (i) If an even number is followed by another even number they are to be added. (ii) If an even number is followed by a prime number, they are to be multiplied. (iii) If an odd number is followed by an even number, even number is to be subtracted from the odd number. (iv) If an odd number is followed by another odd number the first number is to be added to the square of the second number. (v) If an even number is followed by a composite odd number, the even number is to be divided by odd number.I. 84 21 13 II. 15 11 44 What is half of the sum of the resultants of the two rows ?....
MCQ-> Mathematicians are assigned a number called Erdos number (named after the famous mathematician, Paul Erdos). Only Paul Erdos himself has an Erdos number of zero. Any mathematician who has written a research paper with Erdos has an Erdos number of 1.For other mathematicians, the calculation of his/her Erdos number is illustrated below:Suppose that a mathematician X has co-authored papers with several other mathematicians. 'From among them, mathematician Y has the smallest Erdos number. Let the Erdos number of Y be y. Then X has an Erdos number of y+1. Hence any mathematician with no co-authorship chain connected to Erdos has an Erdos number of infinity. :In a seven day long mini-conference organized in memory of Paul Erdos, a close group of eight mathematicians, call them A, B, C, D, E, F, G and H, discussed some research problems. At the beginning of the conference, A was the only participant who had an infinite Erdos number. Nobody had an Erdos number less than that of F.On the third day of the conference F co-authored a paper jointly with A and C. This reduced the average Erdos number of the group of eight mathematicians to 3. The Erdos numbers of B, D, E, G and H remained unchanged with the writing of this paper. Further, no other co-authorship among any three members would have reduced the average Erdos number of the group of eight to as low as 3.• At the end of the third day, five members of this group had identical Erdos numbers while the other three had Erdos numbers distinct from each other.• On the fifth day, E co-authored a paper with F which reduced the group's average Erdos number by 0.5. The Erdos numbers of the remaining six were unchanged with the writing of this paper.• No other paper was written during the conference.The person having the largest Erdos number at the end of the conference must have had Erdos number (at that time):
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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?
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MCQ-> Study,the following information carefully and answer the questions given below : Each of the six buildings — E, F, G, H, I and J — has different number of floors. Only three buildings have more number of floors than J. G has more number of floors than I but less than E. I has more number of floors than J. F does not have the least number of floors. The building having least number of floors has 5 floors. The building having third highest number of floors has 26 floors. F has 14 floors less than the number of floors in I.If the number of floors in building G is less than 38 and is an odd number which is Divisible by 3 but not 7, how many floors does G have ?
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