A river flows along the East - West direction . On a particular day in the morning Kisku was seen at a place 'A' located on the northern side of the river and on the same evening he was seen at a place 'B' located on the southern side of the river .
Following are the comments made by four friends - Paulomi , Mimee, Sabeena and Grayson .
I. Paulomi said, Kisku must have crossed the river only once
II. Sabeena said, Kisku might have crossed the river four times
III. Mimeen said, he might have crossed it five times .
IV. Grayson said, he might have crossed it any number of times
Choose the correct alternative from the following :

Options

A. Only I is correct
B. Only II is correct
C. I or III is correct
D. I and II are correct

Answer

To solve the problem, let's analyze the situation step by step.

### Step 1: Understanding the positions of Kisku
- In the morning, Kisku is at position A, which is on the northern side of the river.
- In the evening, Kisku is at position B, which is on the southern side of the river.

**Hint:** Visualize the river flowing from east to west, with Kisku starting on one side and ending on the opposite side.

### Step 2: Analyzing the statements made by friends
1. **Paulomi's statement:** Kisku must have crossed the river only once.
- If Kisku crossed the river once, he would have gone from the north (A) to the south (B) directly, which is possible.

**Hint:** Consider the simplest crossing scenario.

2. **Sabeena's statement:** Kisku might have crossed the river four times.
- If he crossed the river four times, he would have to return to the north side after crossing to the south side, which means he would end up back at A instead of B. This is not possible.

**Hint:** Think about the implications of crossing back and forth.

3. **Mimee's statement:** He might have crossed it five times.
- If he crossed the river five times, he could cross to the south and then back to the north multiple times before finally ending up on the south side at B. This scenario is possible.

**Hint:** Consider that an odd number of crossings can lead to a final position on the opposite side.

4. **Grayson's statement:** He might have crossed it any number of times.
- This statement is too vague. While Kisku could cross the river many times, the number of crossings must still allow him to end up on the southern side.

**Hint:** Reflect on whether any number of crossings is feasible given the starting and ending positions.

### Step 3: Conclusion
- Based on the analysis:
- Paulomi's statement is correct (1 crossing).
- Sabeena's statement is incorrect (4 crossings).
- Mimee's statement is correct (5 crossings).
- Grayson's statement is misleading because not every number of crossings leads to the correct final position.

Thus, the correct alternatives are the statements made by Paulomi and Mimee.

### Final Answer:
The correct alternatives are:
- Paulomi: Kisku must have crossed the river only once.
- Mimee: He might have crossed it five times.