CAT 2020 DI and Reasoning - slot 01
CAT 2020 DI
Directions for question 01 to 06:
Four institutes, A, B, C, and D, had contracts with four vendors W, X, Y, and Z during the ten calendar years from 2010 to 2019. The contracts were either multi-year contracts running for several consecutive years or single-year contracts. No institute had more than one contract with the same vendor. However, in a calendar year, an institute may have had contracts with multiple vendors, and a vendor may have had contracts with multiple institutes. It is known that over the decade, the institutes each got into two contracts with two of these vendors, and each vendor got into two contracts with two of these institutes.
The following facts are also known about these contracts.
I. Vendor Z had at least one contract in every year.
II. Vendor X had one or more contracts in every year up to 2015, but no contract in any year after that.
III. Vendor Y had contracts
in 2010 and 2019. Vendor W had contracts only in 2012.
IV. There were five contracts in 2012.
V. There were exactly four multi-year contracts. Institute B had a 7-year contract, D had a 4-year contract, and A and C had one 3-year contract
each. The other four contracts were single-year contracts.
VI. Institute C had one or more contracts in 2012 but did not have any contract in 2011.
VII. Institutes B and D each had exactly one contract in 2012.
VIII. Institute D did
not have any contract in 2010.
In which of the following years were there two or more contracts?
a. 2016
b. 2018
c. 2015
d. 2017
It is known that over the decade, the institutes each got into two contracts with two of these vendors, and each vendor got into two contracts with two of these institutes that means total 8 contracts were there. Now it is also given that there were 4 multi-year (7 years, 4 years, 3 years, 3 years) contracts and 4 single year contracts.
Vendor Z had at least one contract in every year from 2010 to 2019, that means Z had contracts for 10 or more number of years. It is possible, only if Z had 7 years of contract with institute B and 3 or 4 years of contract with any other institute.
Vendor X had one or more contracts in every year up to 2015, but no contract in any year after that. It means he had contracts for at least six years. For six or more years contracts he must have either two 3 years contracts or one 3 years and one 4 years contracts.
There were five contracts in 2012. Vendor W had contracts only in 2012. So vendor W had two contracts in 2012, Vendor Z had one contract in 2012 and vendor Y had no contract in 2012. Hence, vendor X had to have two contracts in 2012 (2010 to 2012 and 2012 to 2015). So vendor X had one 3 years and one 4 years contracts and vendor Z had one 7 years and one 3 years contracts. Vendor X cannot have 2010 to 2012 (3 years) contract with institute C because institute C did not have any contract in 2011. So vendor X had contract with institute A and vendor Z had 3 years (2017 to 2019) contract with institute C.
In year 2015 there were two or more contracts.
The correct answer is: 2015
Question 02: Which of the following is true?
a. B had a contract with Z in 2017
b. D had a contract with X in 2011
c. D had a contract with Y in 2019
d. B had a contract with Y in 2019
The correct answer is:
D had a contract with Y in 2019
Question 03: In how many years during this period was there only one contract?
a. 2
b. 3
c. 4
d. 5
It is known that over the decade, the institutes each got into two contracts with two of these vendors, and each vendor got into two contracts with two of these institutes that means total 8 contracts were there. Now it is also given that there were 4 multi-year (7 years, 4 years, 3 years, 3 years) contracts and 4 single year contracts.
Vendor Z had at least one contract in every year from 2010 to 2019, that means Z had contracts for 10 or more number of years. It is possible, only if Z had 7 years of contract with institute B and 3 or 4 years of contract with any other institute.
Vendor X had one or more contracts in every year up to 2015, but no contract in any year after that. It means he had contracts for at least six years. For six or more years contracts he must have either two 3 years contracts or one 3 years and one 4 years contracts.
There were five contracts in 2012. Vendor W had contracts only in 2012. So vendor W had two contracts in 2012, Vendor Z had one contract in 2012 and vendor Y had no contract in 2012. Hence, vendor X had to have two contracts in 2012 (2010 to 2012 and 2012 to 2015). So vendor X had one 3 years and one 4 years contracts and vendor Z had one 7 years and one 3 years contracts. Vendor X cannot have 2010 to 2012 (3 years) contract with institute C because institute C did not have any contract in 2011. So vendor X had contract with institute A and vendor Z had 3 years (2017 to 2019) contract with institute C.
The correct answer is: 3
Question 04: What BEST can be concluded about the number of contracts in 2010?
a. exactly 3
b. at least 4
c. exactly 4
d. at least 3
It is known that over the decade, the institutes each got into two contracts with two of these vendors, and each vendor got into two contracts with two of these institutes that means total 8 contracts were there. Now it is also given that there were 4 multi-year (7 years, 4 years, 3 years, 3 years) contracts and 4 single year contracts.
Vendor Z had at least one contract in every year from 2010 to 2019, that means Z had contracts for 10 or more number of years. It is possible, only if Z had 7 years of contract with institute B and 3 or 4 years of contract with any other institute.
Vendor X had one or more contracts in every year up to 2015, but no contract in any year after that. It means he had contracts for at least six years. For six or more years contracts he must have either two 3 years contracts or one 3 years and one 4 years contracts.
There were five contracts in 2012. Vendor W had contracts only in 2012. So vendor W had two contracts in 2012, Vendor Z had one contract in 2012 and vendor Y had no contract in 2012. Hence, vendor X had to have two contracts in 2012 (2010 to 2012 and 2012 to 2015). So vendor X had one 3 years and one 4 years contracts and vendor Z had one 7 years and one 3 years contracts. Vendor X cannot have 2010 to 2012 (3 years) contract with institute C because institute C did not have any contract in 2011. So vendor X had contract with institute A and vendor Z had 3 years (2017 to 2019) contract with institute C.
The correct answer is: exactly 3
Question 05: Which institutes had multiple contracts during the same year?
a. B and C only
b. A and B only
c. A only
d. B only
It is known that over the decade, the institutes each got into two contracts with two of these vendors, and each vendor got into two contracts with two of these institutes that means total 8 contracts were there. Now it is also given that there were 4 multi-year (7 years, 4 years, 3 years, 3 years) contracts and 4 single year contracts.
Vendor Z had at least one contract in every year from 2010 to 2019, that means Z had contracts for 10 or more number of years. It is possible, only if Z had 7 years of contract with institute B and 3 or 4 years of contract with any other institute.
Vendor X had one or more contracts in every year up to 2015, but no contract in any year after that. It means he had contracts for at least six years. For six or more years contracts he must have either two 3 years contracts or one 3 years and one 4 years contracts.
There were five contracts in 2012. Vendor W had contracts only in 2012. So vendor W had two contracts in 2012, Vendor Z had one contract in 2012 and vendor Y had no contract in 2012. Hence, vendor X had to have two contracts in 2012 (2010 to 2012 and 2012 to 2015). So vendor X had one 3 years and one 4 years contracts and vendor Z had one 7 years and one 3 years contracts. Vendor X cannot have 2010 to 2012 (3 years) contract with institute C because institute C did not have any contract in 2011. So vendor X had contract with institute A and vendor Z had 3 years (2017 to 2019) contract with institute C.
The correct answer is: A and B only
Question 06: Which institutes and vendors had more than one contracts in any year?
a. A, D, W, and Z
b. A, B, W, and X
c. B, W, X, and Z
d. B, D, W, and X
It is known that over the decade, the institutes each got into two contracts with two of these vendors, and each vendor got into two contracts with two of these institutes that means total 8 contracts were there. Now it is also given that there were 4 multi-year (7 years, 4 years, 3 years, 3 years) contracts and 4 single year contracts.
Vendor Z had at least one contract in every year from 2010 to 2019, that means Z had contracts for 10 or more number of years. It is possible, only if Z had 7 years of contract with institute B and 3 or 4 years of contract with any other institute.
Vendor X had one or more contracts in every year up to 2015, but no contract in any year after that. It means he had contracts for at least six years. For six or more years contracts he must have either two 3 years contracts or one 3 years and one 4 years contracts.
There were five contracts in 2012. Vendor W had contracts only in 2012. So vendor W had two contracts in 2012, Vendor Z had one contract in 2012 and vendor Y had no contract in 2012. Hence, vendor X had to have two contracts in 2012 (2010 to 2012 and 2012 to 2015). So vendor X had one 3 years and one 4 years contracts and vendor Z had one 7 years and one 3 years contracts. Vendor X cannot have 2010 to 2012 (3 years) contract with institute C because institute C did not have any contract in 2011. So vendor X had contract with institute A and vendor Z had 3 years (2017 to 2019) contract with institute C.
The correct answer is: A, B, W, and X
Directions for question 07 to 10: The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below:
P1: timely arrival
P2: behavior
P3: comfortable ride
P4: driver's familiarity with the route
P5: value for money
Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five
parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs
to get a rating of five in at least one of the parameters.
The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:
The following additional facts are known.
I. Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.
II. None of drivers has got the same rating in three parameters.
If Damodaran does not get a bonus, what is the maximum possible value of his final rating?
a. 3.2
b. 3.8
c. 3.4
d. 3.6
Damodaran does not get a bonus means either he gets a rating of 1 in at least one parameter or he does not get a rating of 5 in any of the parameter. The maximum possible values of his rating in these two cases can be 5,5,4,3,1 or
4,4,3,3,2. The sum is maximum in first case, so the maximum possible value of his final rating is 3.6.
The correct answer is: 3.6
Question 08: If Eman gets a bonus, what is the minimum possible value of his final rating?
a. 3.2
b. 3.4
c. 3.0
d. 2.8
Eman gets a bonus means he gets rating of 5 at least once and he did not get rating of 1 in any of the parameters. So The minimum possible rating he got can be 5, 3, 3, 2, 2. Hence the minimum possible value of his final rating is 3.
The
correct answer is: 3.0
Question 09: If all five drivers get bonus, what is the minimum possible value of the monthly payment (in rupees) that a driver gets?
a. 1740
b. 1700
c. 1600
d. 1750
For the minimum possible value of the monthly payment, the final rating should be as low as possible.
The minimum possible value of the monthly payment (in rupees) that a driver gets is 1700.
The correct answer is: 1700
Question 10: If all five drivers get bonus, what is the maximum possible value of the monthly payment (in rupees) that a driver gets?
a. 1900
b. 1960
c. 2050
d. 1950
For the maximum possible value of the monthly payment, the final rating should be as high as possible.
The maximum possible value of the monthly payment (in rupees) that a driver gets is 1960.
The correct answer is: 1960
In a certain board examination, students were to appear for examination in five subjects: English, Hindi, Mathematics, Science and Social Science. Due to a certain emergency situation, a few of the examinations could not be conducted for some students.
Hence, some students missed one examination and some others missed two examinations. Nobody missed more than two examinations.
The board adopted the following policy for awarding marks to students. If a student appeared in all five examinations, then the marks awarded in each of the examinations were on the basis of the scores obtained by them in those examinations.
If a student missed only one examination, then the marks awarded in that examination was the average of the best three among the four scores in the examinations they appeared for.
If a student missed two examinations, then the marks awarded in each of these examinations was the average of the best two among the three scores in the examinations they appeared for.
The marks obtained by six students in the examination are given in the table below. Each of them missed either one or two examinations.
The following facts are also known.
I. Four of these students appeared in each of the English, Hindi, Science, and Social Science examinations.
II. The student who missed the Mathematics examination did not miss any other examination.
Ill. One of the students who missed the
Hindi examination did not miss any other examination. The other student who missed the Hindi examination also missed the Science examination.
Who among the following did not appear for the Mathematics examination?
a. Esha
b. Carl
c. Foni
d. Alva
As we know that the average always lies between the highest and the least. So for each student highest marks is always included for the average.
Alva scored 80 marks in English and 70 marks in mathematics. So the average of these two subjects is 75 marks. She scored 75 marks in both Hindi and Science. If marks of Hindi or Science are also included to find the average then also
the average will remain same 75 marks. Hence she missed either only Hindi or only Science or both Hindi and Science.
Similarly Bithi missed either only Science or only Social Science or both of these.
Carl also missed
either only Mathematics or only Social Science or both.
Deep missed either only Hindi or only Science or both.
Esha missed only English.
Foni missed either English or Social Science or both of these.
The student who missed the Mathematics examination did not miss any other examination. It means Carl missed only Mathematics.
One of the students who missed the Hindi examination did not miss any other examination. The other student who missed the Hindi examination also missed the Science examination. It means one of the Alva or Deep missed only Hindi and the other one missed Hindi and Science both.
Four of these students appeared in each of the English, Hindi, Science, and Social Science examinations that means exactly two students missed each of the English, Hindi, Science and Social Science. So Bithi missed both Science and Social Science and Foni missed both English and Social Science.
The correct answer is: Carl
Question 12: Which students did not appear for the English examination?
a. Alva and Bithi
b. Esha and Foni
c. Cannot be determined
d. Carl and Deep
As we know that the average always lies between the highest and the least. So for each student highest marks is always included for the average.
Alva scored 80 marks in English and 70 marks in mathematics. So the average of these two subjects is 75 marks. She scored 75 marks in both Hindi and Science. If marks of Hindi or Science are also included to find the average then also the average will remain same 75 marks. Hence she missed either only Hindi or only Science or both Hindi and Science.
Similarly Bithi missed either only Science or only Social Science or both of these.
Carl also missed either only Mathematics or only Social Science or both.
Deep missed either only Hindi or only Science or both.
Esha
missed only English.
Foni missed either English or Social Science or both of these.
The student who missed the Mathematics examination did not miss any other examination. It means Carl missed only Mathematics.
One of the students who missed the Hindi examination did not miss any other examination. The other student who missed the Hindi examination also missed the Science examination. It means one of the Alva or Deep missed only Hindi and the other one missed Hindi and Science both.
Four of these students appeared in each of the English, Hindi, Science, and Social Science examinations that means exactly two students missed each of the English, Hindi, Science and Social Science. So Bithi missed both Science and Social Science and Foni missed both English and Social Science.
The correct answer is: Esha and Foni
Question 13: What BEST can be concluded about the students who did not appear for the Hindi examination?
a. Alva and Esha
b. Alva and Deep
c. Two among Alva, Deep and Esha
d. Deep and Esha
As we know that the average always lies between the highest and the least. So for each student highest marks is always included for the average.
Alva scored 80 marks in English and 70 marks in mathematics. So the average of these two subjects is 75 marks. She scored 75 marks in both Hindi and Science. If marks of Hindi or Science are also included to find the average then also the average will remain same 75 marks. Hence she missed either only Hindi or only Science or both Hindi and Science.
Similarly Bithi missed either only Science or only Social Science or both of these.
Carl also missed either only Mathematics or only Social Science or both.
Deep missed either only Hindi or only Science or both.
Esha missed only English.
Foni missed either English or Social Science or both of these.
The student who missed the Mathematics examination did not miss any other examination. It means Carl missed only Mathematics.
One of the students who missed the Hindi examination did not miss any other examination. The other student who missed the Hindi examination also missed the Science examination. It means one of the Alva or Deep missed only Hindi and the other one missed Hindi and Science both.
Four of these students appeared in each of the English, Hindi, Science, and Social Science examinations that means exactly two students missed each of the English, Hindi, Science and Social Science. So Bithi missed both Science and Social Science and Foni missed both English and Social Science.
The correct answer is: Alva and Deep
Question 14: What BEST can be concluded about the students who missed the Science examination?
a. Deep and Bithi
b. Alva and Deep
c. Bithi and one out of Alva and Deep
d. Alva and Bithi
As we know that the average always lies between the highest and the least. So for each student highest marks is always included for the average.
Alva scored 80 marks in English and 70 marks in mathematics. So the average of these two subjects is 75 marks. She scored 75 marks in both Hindi and Science. If marks of Hindi or Science are also included to find the average then also the average will remain same 75 marks. Hence she missed either only Hindi or only Science or both Hindi and Science.
Similarly Bithi missed either only Science or only Social Science or both of these.
Carl also missed either only Mathematics or only Social Science or both.
Deep missed either only Hindi or only Science or both.
Esha
missed only English.
Foni missed either English or Social Science or both of these.
The student who missed the Mathematics examination did not miss any other examination. It means Carl missed only Mathematics.
One of the students who missed the Hindi examination did not miss any other examination. The other student who missed the Hindi examination also missed the Science examination. It means one of the Alva or Deep missed only Hindi and the other one missed Hindi and Science both.
Four of these students appeared in each of the English, Hindi, Science, and Social Science examinations that means exactly two students missed each of the English, Hindi, Science and Social Science. So Bithi missed both Science and Social Science and Foni missed both English and Social Science.
Question 15: How many out of these six students missed exactly one examination?
As we know that the average always lies between the highest and the least. So for each student highest marks is always included for the average.
Alva scored 80 marks in English and 70 marks in mathematics. So the average of these two subjects is 75 marks. She scored 75 marks in both Hindi and Science. If marks of Hindi or Science are also included to find the average then also the average will remain same 75 marks. Hence she missed either only Hindi or only Science or both Hindi and Science.
Similarly Bithi missed either only Science or only Social Science or both of these.
Carl also missed either only Mathematics or only Social Science or both.
Deep missed either only Hindi or only Science or both.
Esha
missed only English.
Foni missed either English or Social Science or both of these.
The student who missed the Mathematics examination did not miss any other examination. It means Carl missed only Mathematics.
One of the students who missed the Hindi examination did not miss any other examination. The other student who missed the Hindi examination also missed the Science examination. It means one of the Alva or Deep missed only Hindi and the other one missed Hindi and Science both.
Four of these students appeared in each of the English, Hindi, Science, and Social Science examinations that means exactly two students missed each of the English, Hindi, Science and Social Science. So Bithi missed both Science and Social Science and Foni missed both English and Social Science.
The correct answer is: 3
Question 16: For how many students can we be definite about which examinations they missed?
As we know that the average always lies between the highest and the least. So for each student highest marks is always included for the average.
Alva scored 80 marks in English and 70 marks in mathematics. So the average of these two subjects is 75 marks. She scored 75 marks in both Hindi and Science. If marks of Hindi or Science are also included to find the average then also the average will remain same 75 marks. Hence she missed either only Hindi or only Science or both Hindi and Science.
Similarly Bithi missed either only Science or only Social Science or both of these.
Carl also missed either only Mathematics or only Social Science or both.
Deep missed either only Hindi or only Science or both.
Esha missed only English.
Foni missed either English or Social Science or both of these.
The student who missed the Mathematics examination did not miss any other examination. It means Carl missed only Mathematics.
One of the students who missed the Hindi examination did not miss any other examination. The other student who missed the Hindi examination also missed the Science examination. It means one of the Alva or Deep missed only Hindi and the other one missed Hindi and Science both.
Four of these students appeared in each of the English, Hindi, Science, and Social Science examinations that means exactly two students missed each of the English, Hindi, Science and Social Science. So Bithi missed both Science and Social Science and Foni missed both English and Social Science.
The correct answer is: 4
1000 patients currently suffering from a disease were selected to study the effectiveness of treatment of four types of medicines — A, B, C and D. These patients were first randomly assigned into two groups of equal size, called treatment group and control group. The patients in the control group were not treated with any of these medicines; instead they were given a dummy medicine, called placebo, containing only sugar and starch. The following information is known about the patients in the treatment group.
a. A total of 250 patients were treated with type A medicine and a total of 210 patients were related with type C medicine.
b. 25 patients were treated with type A medicine only. 20 patients were treated with type C medicine only.
10 patients were treated with type D medicine only.
c. 35 patients were treated with type A and type D medicines only. 20 patients were treated with type A and type B medicines only. 30 patients were treated with type A and type C
medicines only. 20 patients were treated with type C and type D medicines only.
d. 100 patients were treated with exactly three types of medicines.
e. 40 patients were treated with medicines of types A, B and C, but not with
medicines of type D. 20 patients were treated with medicines of types A, C and D, but not with medicines of type B.
f. 50 patients were given all the four types of medicines. 75 patients were treated with exactly one type of medicine.
How many patients were treated with medicine type B?
It is a very easy set of four sets Venn Diagrams. Total number of patients in treatment group is 500. Each of these patients are treated with at least one of the tablet A, B, C and D.
Question 18: The number of patients who were treated with medicine types B, C and D, but not type A was:
It is a very easy set of four sets Venn Diagrams. Total number of patients in treatment group is 500. Each of these patients are treated with at least one of the tablet A, B, C and D.
The correct answer is: 10
Question 19: How many patients were treated with medicine types B and D only?
It is a very easy set of four sets Venn Diagrams. Total number of patients in treatment group is 500. Each of these patients are treated with at least one of the tablet A, B, C and D.
The correct answer is: 150
Question 20: The number of patients who were treated with medicine type D was:
It is a very easy set of four sets Venn Diagrams. Total number of patients in treatment group is 500. Each of these patients are treated with at least one of the tablet A, B, C and D.
The correct answer is: 325
Question 21: Directions for questions 21 to 24:
Ten musicians (A, B, C, D, E, F, G, H, I and J) are experts in at least one of the following three percussion instruments: tabla, mridangam, and ghatam. Among them, three are experts in tabla but not in mridangam or ghatam, another three are experts in mridangam but not in tabla or ghatam, and one is an expert in ghatam but not in tabla or mridangam. Further, two are experts in tabla and mridangam but not in ghatam, and one is an expert in tabla and ghatam but not in mridangam.
The following facts are known about these ten musicians.
1. Both A and B are experts in mridangam, but only one of them is also an expert in tabla.
2. D is an expert in both tabla and ghatam.
3. Both F and G are experts in tabla, but only one of them is also an expert in mridangam.
4.
Neither I nor J is an expert in tabla.
5. Neither H nor I is an expert in mridangam, but only one of them is an expert in ghatam.
Who among the following is DEFINITELY an expert in tabla but not in either mridangam or ghatam?
a. A
b. F
c. C
d. H
We can draw a three sets Venn Diagram, with the help of informations given in the question, for the musicians who are experts in at least one of the three instruments: tabla, mridangam, and ghatam.
As it is given that I is neither expert in Tabla nor in Mridangam so he has to be expert in Ghatam. There are only two persons expert in Ghatam : D and I. Now J is neither expert in Tabla nor in Ghatam so he has to be expert in Mridangam. Similarly H is neither expert in Mridangam nor in Ghatam so he has to be expert in Tabla.
Now if A is expert in Tabla then B is not expert in Tabla and vice versa.
If C is expert in Tabla then he is not expert in Mridangam but E is expert in Mridangam only and vice versa.
If F is expert in Mridangam then G is not expert in Mridangam and vice versa.
Now we can create a table after exploring remaining conditions. In this table some information are uniquely determined but some are relative.
The correct answer is: H
Question 22: Who among the following is DEFINITELY an expert in mridangam but not in either tabla or ghatam?
a. B
b. E
c. G
d. J
We can draw a three sets Venn Diagram, with the help of informations given in the question, for the musicians who are experts in at least one of the three instruments: tabla, mridangam, and ghatam.
As it is given that I is neither expert in Tabla nor in Mridangam so he has to be expert in Ghatam. There are only two persons expert in Ghatam : D and I. Now J is neither expert in Tabla nor in Ghatam so he has to be expert in Mridangam. Similarly H is neither expert in Mridangam nor in Ghatam so he has to be expert in Tabla.
Now if A is expert in Tabla then B is not expert in Tabla and vice versa.
If C is expert in Tabla then he is not expert in Mridangam but E is expert in Mridangam only and vice versa.
If F is expert in Mridangam then G is not expert in Mridangam and vice versa.
Now we can create a table after exploring remaining conditions. In this table some information are uniquely determined but some are relative.
The correct answer is: J
Question 23: Which of the following pairs CANNOT have any musician who is an expert in both tabla and mridangam but not in ghatam?
a. C and F
b. F and G
c. A and B
d. C and E
We can draw a three sets Venn Diagram, with the help of informations given in the question, for the musicians who are experts in at least one of the three instruments: tabla, mridangam, and ghatam.
As it is given that I is neither expert in Tabla nor in Mridangam so he has to be expert in Ghatam. There are only two persons expert in Ghatam : D and I. Now J is neither expert in Tabla nor in Ghatam so he has to be expert in Mridangam. Similarly H is neither expert in Mridangam nor in Ghatam so he has to be expert in Tabla.
Now if A is expert in Tabla then B is not expert in Tabla and vice versa.
If C is expert in Tabla then he is not expert in Mridangam but E is expert in Mridangam only and vice versa.
If F is expert in Mridangam then G is not expert in Mridangam and vice versa.
Now we can create a table after exploring remaining conditions. In this table some information are uniquely determined but some are relative.
The correct answer is: C and E
a. E, G and H
b. E, F and H
c. C, E and G
d. C, G and H
We can draw a three sets Venn Diagram, with the help of informations given in the question, for the musicians who are experts in at least one of the three instruments: tabla, mridangam, and ghatam.
As it is given that I is neither expert in Tabla nor in Mridangam so he has to be expert in Ghatam. There are only two persons expert in Ghatam : D and I. Now J is neither expert in Tabla nor in Ghatam so he has to be expert in Mridangam. Similarly H is neither expert in Mridangam nor in Ghatam so he has to be expert in Tabla.
Now if A is expert in Tabla then B is not expert in Tabla and vice versa.
If C is expert in Tabla then he is not expert in Mridangam but E is expert in Mridangam only and vice versa.
If F is expert in Mridangam then G is not expert in Mridangam and vice versa.
Now we can create a table after exploring remaining conditions. In this table some information are uniquely determined but some are relative.
The correct answer is: E, F and H