1. Cup 6 contained tea from Himachal.
2. Tea from Ooty got the highest rating, but it was not in Cup 3.
3. The rating of tea in Cup 3 was double the rating of the tea in Cup 5.
4. Only two cups got ratings in even numbers.
5. Cup 2 got the minimum rating and this rating was an even number.
6. Tea in Cup 3 got a higher rating than that in Cup 1.
7. The rating of tea from Wayanad was more than the rating of tea from Munnar, but less than that from Assam.
What was the second highest rating given?
Correct Answer: 7
Solution and Explanation
Let the ratings be such that the tea with the highest rating is ranked 1 and the tea with the lowest rating is ranked 6. From (2) and (5), we get the following:
From (4), only two cups have been given even numbered ratings and one of them is given to the tea in Cup 2 (from (5)) From (3), it can be inferred that the rating of the tea in Cup 3, is an even number.
Hence, the rating of the tea in Cup 5 is an odd number.
Besides, the tea in Cup 3 has a higher rating than those in Cup 5, Cup 2 and Cup 1 (from (6))
Therefore, the ranking of Cup 3 is either 2 or 3. It cannot be 1 since the tea from Ooty is not in Cup 6.
From (5), the rating of the tea in Cup 2 can either be 2 or 4. Any other even number below 10 cannot be assigned to it since there are five other cups in which the tea has been rated from 1 to 10 and all the ratings are distinct numbers.
If the rating of the tea in Cup 2 is 4, the minimum possible rating for the tea in Cup 5 will be 5 and from that, the rating of the tea in Cup 3 will be 10. But 10 is the highest rating and it is not given to the tea in Cup 3 (from (2)).
Therefore, the tea in Cup 2 has a rating of 2.
The only rating that can be given to the tea in Cup 5 is 3. (Since it cannot be an even number and it has to be less than 5).
Therefore, the rank of the tea in Cup 5 will be 5 with a rating of 3. Hence, the rating of the tea in Cup 3 will be 6.
Between the ratings 3 and 6, only one rating is possible i.e. 5, because there are only two even ratings that are given to the tea in Cup 3 and Cup 2. Also, the tea in Cup 1 has a less rating than the tea in Cup 3. So the only possibility is that the tea in Cup 1 has a rating of 5 and is ranked fourth and the tea in Cup 3 has a rating of 6 and is ranked third.
From (1), only the tea which has got the second highest rating can belong to Himachal and it is the tea in Cup 6. Therefore, the tea from Himachal is in Cup 6 and it has the second highest rating. The rating has to be an odd number greater than 6 and less than 10. The only number possible is 7. If it were 9, then the tea from Ooty has to be given a rating of 10 but there are only two even ratings. Hence, the tea from Himachal has got a rating of 7.
The tea from Ooty will be in Cup 4. The rating of the tea from Ooty should be an odd number greater than 7 and less than 10. The only possible value is 9.
The final table will be as follows:
The second highest rating is given to the tea from Himachal and it is 7. Ans: 7
What was the number of the cup that contained tea from Ooty?
Correct Answer: 4
Solution and Explanation
Let the ratings be such that the tea with the highest rating is ranked 1 and the tea with the lowest rating is ranked 6. From (2) and (5), we get the following:
From (4), only two cups have been given even numbered ratings and one of them is given to the tea in Cup 2 (from (5)) From (3), it can be inferred that the rating of the tea in Cup 3, is an even number.
Hence, the rating of the tea in Cup 5 is an odd number.
Besides, the tea in Cup 3 has a higher rating than those in Cup 5, Cup 2 and Cup 1 (from (6))
Therefore, the ranking of Cup 3 is either 2 or 3. It cannot be 1 since the tea from Ooty is not in Cup 6.
From (5), the rating of the tea in Cup 2 can either be 2 or 4. Any other even number below 10 cannot be assigned to it since there are five other cups in which the tea has been rated from 1 to 10 and all the ratings are distinct numbers.
If the rating of the tea in Cup 2 is 4, the minimum possible rating for the tea in Cup 5 will be 5 and from that, the rating of the tea in Cup 3 will be 10. But 10 is the highest rating and it is not given to the tea in Cup 3 (from (2)).
Therefore, the tea in Cup 2 has a rating of 2.
The only rating that can be given to the tea in Cup 5 is 3. (Since it cannot be an even number and it has to be less than 5).
Therefore, the rank of the tea in Cup 5 will be 5 with a rating of 3. Hence, the rating of the tea in Cup 3 will be 6.
Between the ratings 3 and 6, only one rating is possible i.e. 5, because there are only two even ratings that are given to the tea in Cup 3 and Cup 2. Also, the tea in Cup 1 has a less rating than the tea in Cup 3. So the only possibility is that the tea in Cup 1 has a rating of 5 and is ranked fourth and the tea in Cup 3 has a rating of 6 and is ranked third.
From (1), only the tea which has got the second highest rating can belong to Himachal and it is the tea in Cup 6. Therefore, the tea from Himachal is in Cup 6 and it has the second highest rating. The rating has to be an odd number greater than 6 and less than 10. The only number possible is 7. If it were 9, then the tea from Ooty has to be given a rating of 10 but there are only two even ratings. Hence, the tea from Himachal has got a rating of 7.
The tea from Ooty will be in Cup 4. The rating of the tea from Ooty should be an odd number greater than 7 and less than 10. The only possible value is 9.
The final table will be as follows:
The number of the cup that contained tea from Ooty is Cup 4. Ans: 4
If the tea from Munnar did not get the minimum rating, what was the rating of the tea from Wayanad?
- 3
- 5
- 1
- 6
The Correct Option is B
Solution and Explanation
The correct answer is (B):
Let the ratings be such that the tea with the highest rating is ranked 1 and the tea with the lowest rating is ranked 6. From (2) and (5), we get the following:
From (4), only two cups have been given even numbered ratings and one of them is given to the tea in Cup 2 (from (5))
From (3), it can be inferred that the rating of the tea in Cup 3, is an even number.
Hence, the rating of the tea in Cup 5 is an odd number.
Besides, the tea in Cup 3 has a higher rating than those in Cup 5, Cup 2 and Cup 1 (from (6))
Therefore, the ranking of Cup 3 is either 2 or 3. It cannot be 1 since the tea from Ooty is not in Cup 6.
From (5), the rating of the tea in Cup 2 can either be 2 or 4. Any other even number below 10 cannot be assigned to it since there are five other cups in which the tea has been rated from 1 to 10 and all the ratings are distinct numbers.
If the rating of the tea in Cup 2 is 4, the minimum possible rating for the tea in Cup 5 will be 5 and from that, the rating of the tea in Cup 3 will be 10. But 10 is the highest rating and it is not given to the tea in Cup 3 (from (2)).
Therefore, the tea in Cup 2 has a rating of 2.
The only rating that can be given to the tea in Cup 5 is 3. (Since it cannot be an even number and it has to be less than 5). Therefore, the rank of the tea in Cup 5 will be 5 with a rating of 3.
Hence, the rating of the tea in Cup 3 will be 6.
Between the ratings 3 and 6, only one rating is possible i.e. 5, because there are only two even ratings that are given to the tea in Cup 3 and Cup 2. Also, the tea in Cup 1 has a less rating than the tea in Cup 3. So the only possibility is that the tea in Cup 1 has a rating of 5 and is ranked fourth and the tea in Cup 3 has a rating of 6 and is ranked third.
From (1), only the tea which has got the second highest rating can belong to Himachal and it is the tea in Cup 6. Therefore, the tea from Himachal is in Cup 6 and it has the second highest rating. The rating has to be an odd number greater than 6 and less than 10. The only number possible is 7. If it were 9, then the tea from Ooty has to be given a rating of 10 but there are only two even ratings. Hence, the tea from Himachal has got a rating of 7.
The tea from Ooty will be in Cup 4. The rating of the tea from Ooty should be an odd number greater than 7 and less than 10. The only possible value is 9.
The final table will be as follows:
It is given that the rating of the tea from Munnar is less than that of the teas from Wayanad and Assam. So it can be ranked either fifth or sixth. If the tea from Munnar did not get the minimum rating, it will be ranked fifth with a rating of 3. Therefore, the teas from Assam and Wayanad will be ranked third and fourth respectively. Hence, the rating of the tea from Wayanad will be 5. Choice (2).
If cups containing teas from Wayanad and Ooty had consecutive numbers, which of the following statements may be true?
- Cup 5 contains tea from Assam
- Cup 1 contains tea from Darjeeling
- Tea from Wayanad has got a rating of 6
- Tea from Darjeeling got the minimum rating
The Correct Option is B
Solution and Explanation
The correct answer is (B):
Let the ratings be such that the tea with the highest rating is ranked 1 and the tea with the lowest rating is ranked 6. From (2) and (5), we get the following:
From (4), only two cups have been given even numbered ratings and one of them is given to the tea in Cup 2 (from (5))
From (3), it can be inferred that the rating of the tea in Cup 3, is an even number.
Hence, the rating of the tea in Cup 5 is an odd number.
Besides, the tea in Cup 3 has a higher rating than those in Cup 5, Cup 2 and Cup 1 (from (6))
Therefore, the ranking of Cup 3 is either 2 or 3. It cannot be 1 since the tea from Ooty is not in Cup 6.
From (5), the rating of the tea in Cup 2 can either be 2 or 4. Any other even number below 10 cannot be assigned to it since there are five other cups in which the tea has been rated from 1 to 10 and all the ratings are distinct numbers.
If the rating of the tea in Cup 2 is 4, the minimum possible rating for the tea in Cup 5 will be 5 and from that, the rating of the tea in Cup 3 will be 10. But 10 is the highest rating and it is not given to the tea in Cup 3 (from (2)).
Therefore, the tea in Cup 2 has a rating of 2.
The only rating that can be given to the tea in Cup 5 is 3. (Since it cannot be an even number and it has to be less than 5).
Therefore, the rank of the tea in Cup 5 will be 5 with a rating of 3. Hence, the rating of the tea in Cup 3 will be 6.
Between the ratings 3 and 6, only one rating is possible i.e. 5, because there are only two even ratings that are given to the tea in Cup 3 and Cup 2. Also, the tea in Cup 1 has a less rating than the tea in Cup 3. So the only possibility is that the tea in Cup 1 has a rating of 5 and is ranked fourth and the tea in Cup 3 has a rating of 6 and is ranked third.
From (1), only the tea which has got the second highest rating can belong to Himachal and it is the tea in Cup 6. Therefore, the tea from Himachal is in Cup 6 and it has the second highest rating. The rating has to be an odd number greater than 6 and less than 10. The only number possible is 7. If it were 9, then the tea from Ooty has to be given a rating of 10 but there are only two even ratings. Hence, the tea from Himachal has got a rating of 7.
The tea from Ooty will be in Cup 4. The rating of the tea from Ooty should be an odd number greater than 7 and less than 10. The only possible value is 9.
The final table will be as follows:
If the cups containing teas from Wayanad and Ooty have consecutive numbers, then the Cup containing tea from Wayanad can either be Cup 5 or Cup 3. But the tea from Wayanad cannot be in Cup 3 because the tea from Assam got a higher rating than the tea from Wayanad. Therefore, the tea from Wayanad should be in Cup 5. In this case, the tea from Munnar will be in Cup 2 and the tea from Darjeeling can either be in Cup 1 or Cup 3. Choice (2)
Top Questions on Conclusion
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1. There cannot be more than two candidates from a single department.
2. A candidate cannot vote for himself/herself.
3. Faculty members cannot vote for a candidate from their own department.
After the election, it was observed that Prof. Pakrasi received 3 votes, Prof. Qureshi received 14 votes, Prof. Ramaswamy received 6 votes and Prof. Samuel received 1 vote. Prof. Pakrasi voted for Prof. Ramaswamy, Prof. Qureshi for Prof. Samuel, Prof. Ramaswamy for Prof. Qureshi and Prof. Samuel for Prof. Pakrasi - There are only four neighbourhoods in a city-Levmisto, Tyhrmisto,Pesmisto and Kitmisto. During the onset of a pandemic,the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0,1,2 or 3.
The following facts are also known:
1. There was at least one new case in every neighbourhood on Day 1.
2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day 3 was exactly one more than that on Day 2.
4. The maximum number of new cases in a day in Pesmisto was 2 and this happenedonly once during the five-day period.
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6. The total numbers of new cases in Levmisto,Tyhrmisto,Pesmisto and Kitmisto over the five-day period were 12,12,5 and 14 respectively. - The Humanities department of a college is planning to organize eight seminars, one for each of the eight doctoral students - A, B, C, D, E, F, G and H. Four of them are from Economics, three from Sociology and one from Anthropology department. Each student is guided by one among P, Q, R, S and T. Two students are guided by each of P, R and T, while one student is guided by each of Q and S. Each student is guided by a guide belonging to their department.
Each seminar is to be scheduled in one of four consecutive 30-minute slots starting at 9:00 am, 9:30 am, 10:00 am and 10:30 am on the same day. More than one seminars can be scheduled in a slot, provided the guide is free. Only three rooms are available and hence at the most three seminars can be scheduled in a slot. Students who are guided by the same guide must be scheduled in consecutive slots.
The following additional facts are also known.
1. Seminars by students from Economics are scheduled in each of the four slots.
2. A’s is the only seminar that is scheduled at 10:00 am. A is guided by R.
3. F is an Anthropology student whose seminar is scheduled at 10:30 am.
4. The seminar of a Sociology student is scheduled at 9:00 am.
5. B and G are both Sociology students, whose seminars are scheduled in the same slot. The seminar of an Economics student, who is guided by T, is also scheduled in the same slot.
6. P, who is guiding both B and C, has students scheduled in the first two slots.
7. A and G are scheduled in two consecutive slots. - 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.
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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. - A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue and cost from the three departments for the years 2016, 2017 and 2018. The dotted lines depict percentage levels. So for example, in 2016, 50% of store's revenue came from its Electronics department while 40% of its costs were incurred in the Produce department.
In this setup, Profit is computed as (Revenue – Cost) and Percentage Profit as Profit/Cost × 100%.
It is known that
1. The percentage profit for the store in 2016 was 100%.
2. The store’s revenue doubled from 2016 to 2017, and its cost doubled from 2016 to 2018.
3. There was no profit from the Electronics department in 2017.
4. In 2018, the revenue from the Clothing department was the same as the cost incurred in the Produce department.
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