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We have drawn the figure according to the information given in the question,

Hence, from the figure, it is clear that the Home of Sheela is in South-West direction to the Market.

We have drawn the figure according to the information given in the question,

from the figure, the shortest distance between Sheela's office and home is the root of ( 25² + 10² )

\(\sqrt{625 + 100}\) = \(\sqrt{725}\)

Hence, the shortest distance between Sheela's office to her home is \(\sqrt{725}\)

Seven persons: P, Q, R, S, T, U and V

Days: Sunday to Saturday

1. P attends marriage before Wednesday, but P does not attend on Sunday, which means P attends either on Monday or Tuesday.
2. Only one person attends marriage between P and R.
3. Q attends marriage immediately before U.
4. Q attends the marriage after T. (So Q does not attend on Sunday)

5. Number of persons attend marriage before S is equal to the number of persons attend marriage after V.
6. Number of persons attends between S and T is one less than the number of persons attends between S and Q.  (This eliminates case 1 and case 2 as this is not possible in case 1 and case 2)

So, the final arrangement is as follows.

Hence, T attends the marriage on Sunday.

Seven persons: P, Q, R, S, T, U and V

Days: Sunday to Saturday

1. P attends marriage before Wednesday, but P does not attend on Sunday, which means P attends either on Monday or Tuesday.
2. Only one person attends marriage between P and R.
3. Q attends marriage immediately before U.
4. Q attends the marriage after T. (So Q does not attend on Sunday)

5. Number of persons attend marriage before S is equal to the number of persons attend marriage after V.
6. Number of persons attends between S and T is one less than the number of persons attends between S and Q.  (This eliminates case 1 and case 2 as this is not possible in case 1 and case 2)

So, the final arrangement is as follows.

Hence, only two persons attend the marriage between Q and S.

Seven persons: P, Q, R, S, T, U and V

Days: Sunday to Saturday

1. P attends marriage before Wednesday, but P does not attend on Sunday, which means P attends either on Monday or Tuesday.
2. Only one person attends marriage between P and R.
3. Q attends marriage immediately before U.
4. Q attends the marriage after T. (So Q does not attend on Sunday)

5. Number of persons attend marriage before S is equal to the number of persons attend marriage after V.
6. Number of persons attends between S and T is one less than the number of persons attends between S and Q.  (This eliminates case 1 and case 2 as this is not possible in case 1 and case 2)

So, the final arrangement is as follows.

Hence, S attends the marriage immediately before R.

Seven persons: P, Q, R, S, T, U and V

Days: Sunday to Saturday

1. P attends marriage before Wednesday, but P does not attend on Sunday, which means P attends either on Monday or Tuesday.
2. Only one person attends marriage between P and R.
3. Q attends marriage immediately before U.
4. Q attends the marriage after T. (So Q does not attend on Sunday)

5. Number of persons attend marriage before S is equal to the number of persons attend marriage after V.
6. Number of persons attends between S and T is one less than the number of persons attends between S and Q.  (This eliminates case 1 and case 2 as this is not possible in case 1 and case 2)

So, the final arrangement is as follows.

1. V attends the marriage on Monday –False (As V attends the marriage on Thursday)
2. R attends the marriage immediately before U–False (As R attends the marriage 3 days before U)
3. U attends the marriage on Thursday–False (As U attends the marriage on Saturday)
4. P attends the marriage before T–False (As P attends the marriage immediately after T)
5. Only one person attends the marriage between P and R - True

Hence, the statement “only one person attends the marriage between P and R” is true.

Seven persons: P, Q, R, S, T, U and V

Days: Sunday to Saturday

1. P attends marriage before Wednesday, but P does not attend on Sunday, which means P attends either on Monday or Tuesday.
2. Only one person attends marriage between P and R.
3. Q attends marriage immediately before U.
4. Q attends the marriage after T. (So Q does not attend on Sunday)

5. Number of persons attend marriage before S is equal to the number of persons attend marriage after V.
6. Number of persons attends between S and T is one less than the number of persons attends between S and Q.  (This eliminates case 1 and case 2 as this is not possible in case 1 and case 2)

So, the final arrangement is as follows.

Three persons attend the marriage before R which is one more than the number of persons attend after V.

Hence, number of persons, who attend the marriage before R is one more than the number of persons attend the marriage after V.

The least possible diagram will be as follows:

Conclusions:

I. All coffee can be tea: True (As given Only a few tea is coffee, all coffee can be tea but all tea can never be coffee.)

II. Some drink is juice: False (No direct relation between drink and juice, so it is possible but not definite)

Hence, Only I follow is the correct answer.

The least possible Venn Diagram will be as follows:

Conclusions:

I. All Tea can be Coffee → False (As Only a few Tea is Coffee, some tea is coffee and some tea is not coffee so All tea can be coffee will be false)

II. All coffee can be Tea → True (As Only a few Tea is Coffee, some tea is coffee and some tea is not coffee. The relation of some not is only from the tea side so there is a possibility that all coffee can be tea, so it is true)

The diagram of possibility will be as follows:

Hence, only II follows.

Note:

1. 'Can be' means a possibility.
2. 'Only a few' means a relation of Some and Some Not of the first element with the second element.

The least possible Venn Diagram for the given data is:

Confusion Points Only keyword denotes that Dog will have a positive relation only with Cat. So, here 'Only Cat are Dog' means that all Dog will be Cat and only Cat will be related to Dog other than this no one has a relationship with the Dog. 

Conclusions:

I. No dog is a plant → True (as only cats can be plants.)

II. All cats being birds is a possibility → False (if all cats are birds then in that case some dogs would be birds which is not possible.)

Hence, "only conclusion I follows."