Instructions

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.

Question 20

In which room is the Mars professor staying?

Solution

Let us start by making a table as shown below:-

We are given that, The professor in room number 203 published in 12 journals and donated to 8 institutions last year. Thus, put 12 and 8 in Row 3 and Row 4 of column 203.
The Mercury professor is staying in an odd numbered room. Thus, the Mercury professor is staying in either of room 201, 203 or 205.
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. If the Mercury professor is staying in 203 or 205 then there will be no room for professor Mars.
Thus, the Mercury professor is staying 201, the Pluto professor is staying in 203 and the Mars professor is staying in 205.
Put these values in their respective columns.
The professor in room no. 202 has published in twice as many journals as the professor who donated to 8 institutions last year.
We know the Pluto donated to 8 institutes last year and has published in 12 journals.
Thus, the professor in room no. 202 has published 24 journals.
The table till now is:-

Henc The professor from Jupiter published in 8 journals less than the professor from Pluto but donated to 10 more institutions last year.
We know Pluto donated to 8 institutes last year and has published in 12 journals. Thus, the professor from Jupiter published in 4 journals and donated to 18 institutes.
The professors from Mercury and Jupiter do not stay in room number 206.
Thus, the professor from Jupiter has to stay in either 202 or 204.
But the professor in room no. 202 has published 24 journals which is not the case with the professor from Jupiter.
Thus, the professor from Jupiter has to stay in room 204.
The professor from Uranus and the Professor in room number 206 together published in a total of 40 journals.
From this we can say that the professor from Uranus is not staying in room 206 and thus is staying in room no 202.
Thus, the professor from Neptune is staying in room no. 206.
The professor from Uranus has published papers in 24 journals and thus, the professor from Neptune has published papers in 16 journals.
The professor who published in 16 journals donated to 24 institutions last year.
Thus, the professor from Neptune has donated to 24 institutes last year.
Thus, the final table is:-