CAT Exam  >  CAT Questions  >   DIRECTIONS for questions: Answer the questio... Start Learning for Free
DIRECTIONS for questions: Answer the questions on the basis of the information given below.
During a particular month, Tarak visited six cities, Delhi, Chennai, Mumbai, Kolkata, Hyderabad and Bangalore, not necessarily in the same order. After visiting the six cities, he ranked the cities, from 1 to 6, based on the order of his preference. The ranks of any two cities that he visited one immediately after the other differed by at least two, while for any two cities whose ranks differed by exactly two, he visited at least one city between them. It is also known that
i. he visited the city ranked three before he visited Chennai.
ii. he visited Kolkata after he visited the city ranked 1.
iii. Mumbai was not the third city that he visited.
iv. Delhi was the fourth city that he visited.
v. he visited the city ranked two before he visited Bangalore.
vi. he visited Hyderabad before he visited Mumbai.
Q. How many cities did he visit between Chennai and the city ranked three?
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
DIRECTIONS for questions: Answer the questions on the basis of the in...
Given that the ranks of any two cities that he visited one immediately after the other differed by at least 2. But also, if these ranks differed by exactly 2, he visited at least one city between them. Hence, if the ranks differed by 2, he could not have visited the two cities one after the other. Hence, for any pair of cities that he visited one after the other, the rank must differ by at least 3. Consider the city ranked 4th. The only city which he could have visited immediately before or after will be the city ranked 1. Similarly, for the city ranked 3, the only which he could have visited immediately before or after will be the city ranked 6. Hence, the city ranked 4 and 3 must be the first and last cities that he visited in any order. Let the city ranked 4 be the first city. Then, the city ranked 1 must be the second city that he visited. The third city must differ from 1 by at least 3. Hence, the third city can be ranked 5 or 6. City ranked 3 will be the last city and the city ranked 6 must be the city that he visited fifth. Hence, the third city must be ranked 5 and the fourth city must be ranked 2. This is one possible case. Consider the case where the city ranked 3 is first and we get another case, which is the reverse order of the previous case. Hence, two possible order of ranks exist: 4, t, 5, 2, 6, 3 OR 3, 6,2, 5, 1, 4. From (i), he visited the city ranked three before he visited Chennai. Hence, only one possible case exists: 3, 6, 2, 5,1,4. From (iv), Delhi was the fourth city that he visited and must be ranked 2. From (ii), he visited Kolkata after visiting the city ranked 1. Since he visited only one city after visiting the city ranked 1, he must have visited Kolkata last and this must be ranked 4. From (v), he visited the city ranked 2 before he visited Bangalore Hence, he must have visited Bangalore S'*1 and this must have been ranked 1st. From (vi) and (iii), Mumbai has to be the second city that he visited and Hyderabad must be the first Hence, Chennai must be the third city that he visited. The following table provides the order in which he visited the six cities and the ranks of the six cities
He visited one city between Chennai and the city ranked 3.
View all questions of this test
Most Upvoted Answer
DIRECTIONS for questions: Answer the questions on the basis of the in...
Solution:

Given, Tarak visited six cities - Delhi, Chennai, Mumbai, Kolkata, Hyderabad, and Bangalore.

He ranked the cities from 1 to 6 based on his preference.

The ranks of any two cities that he visited one immediately after the other differed by at least two, while for any two cities whose ranks differed by exactly two, he visited at least one city between them.

From the given information, we can conclude the following:

- Delhi was the fourth city that he visited.
- Mumbai was not the third city that he visited.
- He visited the city ranked three before he visited Chennai.
- He visited Kolkata after he visited the city ranked 1.
- He visited Hyderabad before he visited Mumbai.
- He visited the city ranked two before he visited Bangalore.

Let's assume the order in which Tarak visited the cities to be as follows:

1. Delhi
2. Bangalore
3. Kolkata
4. Chennai
5. Hyderabad
6. Mumbai

Now, let's see if this order satisfies all the given conditions:

- The ranks of any two cities that he visited one immediately after the other differed by at least two - This condition is satisfied.
- For any two cities whose ranks differed by exactly two, he visited at least one city between them - This condition is also satisfied.

Now, we need to find out how many cities Tarak visited between Chennai and the city ranked three.

From the assumed order of cities visited by Tarak, we can see that he visited Chennai at rank 4 and the city ranked three at rank 1. So, the number of cities between them is 1, i.e., Bangalore.

Hence, the correct answer is option B) 1.
Free Test
Community Answer
DIRECTIONS for questions: Answer the questions on the basis of the in...
Given that the ranks of any two cities that he visited one immediately after the other differed by at least 2. But also, if these ranks differed by exactly 2, he visited at least one city between them. Hence, if the ranks differed by 2, he could not have visited the two cities one after the other. Hence, for any pair of cities that he visited one after the other, the rank must differ by at least 3. Consider the city ranked 4th. The only city which he could have visited immediately before or after will be the city ranked 1. Similarly, for the city ranked 3, the only which he could have visited immediately before or after will be the city ranked 6. Hence, the city ranked 4 and 3 must be the first and last cities that he visited in any order. Let the city ranked 4 be the first city. Then, the city ranked 1 must be the second city that he visited. The third city must differ from 1 by at least 3. Hence, the third city can be ranked 5 or 6. City ranked 3 will be the last city and the city ranked 6 must be the city that he visited fifth. Hence, the third city must be ranked 5 and the fourth city must be ranked 2. This is one possible case. Consider the case where the city ranked 3 is first and we get another case, which is the reverse order of the previous case. Hence, two possible order of ranks exist: 4, t, 5, 2, 6, 3 OR 3, 6,2, 5, 1, 4. From (i), he visited the city ranked three before he visited Chennai. Hence, only one possible case exists: 3, 6, 2, 5,1,4. From (iv), Delhi was the fourth city that he visited and must be ranked 2. From (ii), he visited Kolkata after visiting the city ranked 1. Since he visited only one city after visiting the city ranked 1, he must have visited Kolkata last and this must be ranked 4. From (v), he visited the city ranked 2 before he visited Bangalore Hence, he must have visited Bangalore S'*1 and this must have been ranked 1st. From (vi) and (iii), Mumbai has to be the second city that he visited and Hyderabad must be the first Hence, Chennai must be the third city that he visited. The following table provides the order in which he visited the six cities and the ranks of the six cities
He visited one city between Chennai and the city ranked 3.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

Top Courses for CAT

DIRECTIONS for questions: Answer the questions on the basis of the information given below. During a particular month, Tarak visited six cities, Delhi, Chennai, Mumbai, Kolkata, Hyderabad and Bangalore, not necessarily in the same order. After visiting the six cities, he ranked the cities, from 1 to 6, based on the order of his preference. The ranks of any two cities that he visited one immediately after the other differed by at least two, while for any two cities whose ranks differed by exactly two, he visited at least one city between them. It is also known thati. he visited the city ranked three before he visited Chennai.ii. he visited Kolkata after he visited the city ranked 1.iii. Mumbai was not the third city that he visited.iv. Delhi was the fourth city that he visited.v. he visited the city ranked two before he visited Bangalore.vi. he visited Hyderabad before he visited Mumbai.Q. How many cities did he visit between Chennai and the city ranked three?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer?
Question Description
DIRECTIONS for questions: Answer the questions on the basis of the information given below. During a particular month, Tarak visited six cities, Delhi, Chennai, Mumbai, Kolkata, Hyderabad and Bangalore, not necessarily in the same order. After visiting the six cities, he ranked the cities, from 1 to 6, based on the order of his preference. The ranks of any two cities that he visited one immediately after the other differed by at least two, while for any two cities whose ranks differed by exactly two, he visited at least one city between them. It is also known thati. he visited the city ranked three before he visited Chennai.ii. he visited Kolkata after he visited the city ranked 1.iii. Mumbai was not the third city that he visited.iv. Delhi was the fourth city that he visited.v. he visited the city ranked two before he visited Bangalore.vi. he visited Hyderabad before he visited Mumbai.Q. How many cities did he visit between Chennai and the city ranked three?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about DIRECTIONS for questions: Answer the questions on the basis of the information given below. During a particular month, Tarak visited six cities, Delhi, Chennai, Mumbai, Kolkata, Hyderabad and Bangalore, not necessarily in the same order. After visiting the six cities, he ranked the cities, from 1 to 6, based on the order of his preference. The ranks of any two cities that he visited one immediately after the other differed by at least two, while for any two cities whose ranks differed by exactly two, he visited at least one city between them. It is also known thati. he visited the city ranked three before he visited Chennai.ii. he visited Kolkata after he visited the city ranked 1.iii. Mumbai was not the third city that he visited.iv. Delhi was the fourth city that he visited.v. he visited the city ranked two before he visited Bangalore.vi. he visited Hyderabad before he visited Mumbai.Q. How many cities did he visit between Chennai and the city ranked three?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for questions: Answer the questions on the basis of the information given below. During a particular month, Tarak visited six cities, Delhi, Chennai, Mumbai, Kolkata, Hyderabad and Bangalore, not necessarily in the same order. After visiting the six cities, he ranked the cities, from 1 to 6, based on the order of his preference. The ranks of any two cities that he visited one immediately after the other differed by at least two, while for any two cities whose ranks differed by exactly two, he visited at least one city between them. It is also known thati. he visited the city ranked three before he visited Chennai.ii. he visited Kolkata after he visited the city ranked 1.iii. Mumbai was not the third city that he visited.iv. Delhi was the fourth city that he visited.v. he visited the city ranked two before he visited Bangalore.vi. he visited Hyderabad before he visited Mumbai.Q. How many cities did he visit between Chennai and the city ranked three?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer?.
Solutions for DIRECTIONS for questions: Answer the questions on the basis of the information given below. During a particular month, Tarak visited six cities, Delhi, Chennai, Mumbai, Kolkata, Hyderabad and Bangalore, not necessarily in the same order. After visiting the six cities, he ranked the cities, from 1 to 6, based on the order of his preference. The ranks of any two cities that he visited one immediately after the other differed by at least two, while for any two cities whose ranks differed by exactly two, he visited at least one city between them. It is also known thati. he visited the city ranked three before he visited Chennai.ii. he visited Kolkata after he visited the city ranked 1.iii. Mumbai was not the third city that he visited.iv. Delhi was the fourth city that he visited.v. he visited the city ranked two before he visited Bangalore.vi. he visited Hyderabad before he visited Mumbai.Q. How many cities did he visit between Chennai and the city ranked three?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of DIRECTIONS for questions: Answer the questions on the basis of the information given below. During a particular month, Tarak visited six cities, Delhi, Chennai, Mumbai, Kolkata, Hyderabad and Bangalore, not necessarily in the same order. After visiting the six cities, he ranked the cities, from 1 to 6, based on the order of his preference. The ranks of any two cities that he visited one immediately after the other differed by at least two, while for any two cities whose ranks differed by exactly two, he visited at least one city between them. It is also known thati. he visited the city ranked three before he visited Chennai.ii. he visited Kolkata after he visited the city ranked 1.iii. Mumbai was not the third city that he visited.iv. Delhi was the fourth city that he visited.v. he visited the city ranked two before he visited Bangalore.vi. he visited Hyderabad before he visited Mumbai.Q. How many cities did he visit between Chennai and the city ranked three?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of DIRECTIONS for questions: Answer the questions on the basis of the information given below. During a particular month, Tarak visited six cities, Delhi, Chennai, Mumbai, Kolkata, Hyderabad and Bangalore, not necessarily in the same order. After visiting the six cities, he ranked the cities, from 1 to 6, based on the order of his preference. The ranks of any two cities that he visited one immediately after the other differed by at least two, while for any two cities whose ranks differed by exactly two, he visited at least one city between them. It is also known thati. he visited the city ranked three before he visited Chennai.ii. he visited Kolkata after he visited the city ranked 1.iii. Mumbai was not the third city that he visited.iv. Delhi was the fourth city that he visited.v. he visited the city ranked two before he visited Bangalore.vi. he visited Hyderabad before he visited Mumbai.Q. How many cities did he visit between Chennai and the city ranked three?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer?, a detailed solution for DIRECTIONS for questions: Answer the questions on the basis of the information given below. During a particular month, Tarak visited six cities, Delhi, Chennai, Mumbai, Kolkata, Hyderabad and Bangalore, not necessarily in the same order. After visiting the six cities, he ranked the cities, from 1 to 6, based on the order of his preference. The ranks of any two cities that he visited one immediately after the other differed by at least two, while for any two cities whose ranks differed by exactly two, he visited at least one city between them. It is also known thati. he visited the city ranked three before he visited Chennai.ii. he visited Kolkata after he visited the city ranked 1.iii. Mumbai was not the third city that he visited.iv. Delhi was the fourth city that he visited.v. he visited the city ranked two before he visited Bangalore.vi. he visited Hyderabad before he visited Mumbai.Q. How many cities did he visit between Chennai and the city ranked three?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of DIRECTIONS for questions: Answer the questions on the basis of the information given below. During a particular month, Tarak visited six cities, Delhi, Chennai, Mumbai, Kolkata, Hyderabad and Bangalore, not necessarily in the same order. After visiting the six cities, he ranked the cities, from 1 to 6, based on the order of his preference. The ranks of any two cities that he visited one immediately after the other differed by at least two, while for any two cities whose ranks differed by exactly two, he visited at least one city between them. It is also known thati. he visited the city ranked three before he visited Chennai.ii. he visited Kolkata after he visited the city ranked 1.iii. Mumbai was not the third city that he visited.iv. Delhi was the fourth city that he visited.v. he visited the city ranked two before he visited Bangalore.vi. he visited Hyderabad before he visited Mumbai.Q. How many cities did he visit between Chennai and the city ranked three?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice DIRECTIONS for questions: Answer the questions on the basis of the information given below. During a particular month, Tarak visited six cities, Delhi, Chennai, Mumbai, Kolkata, Hyderabad and Bangalore, not necessarily in the same order. After visiting the six cities, he ranked the cities, from 1 to 6, based on the order of his preference. The ranks of any two cities that he visited one immediately after the other differed by at least two, while for any two cities whose ranks differed by exactly two, he visited at least one city between them. It is also known thati. he visited the city ranked three before he visited Chennai.ii. he visited Kolkata after he visited the city ranked 1.iii. Mumbai was not the third city that he visited.iv. Delhi was the fourth city that he visited.v. he visited the city ranked two before he visited Bangalore.vi. he visited Hyderabad before he visited Mumbai.Q. How many cities did he visit between Chennai and the city ranked three?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev