Let \( XYZ \) be a 3-digit number. Let \( S = XYZ + YZX + ZXY \). Which of the following statements is/are correct?
1. \( S \) is always divisible by 3 and \( (X + Y + Z) \)
2. \( S \) is always divisible by 9
3. \( S \) is always divisible by 37
Select the correct answer using the code given below:
In covering certain distance, the average speeds of \( X \) and \( Y \) are in the ratio 4 : 5. If \( X \) takes 45 minutes more than \( Y \) to reach the destination, then what is the time taken by \( Y \) to reach the destination?
If the annual income of \( X \) is 20% more than that of \( Y \), then the income of \( Y \) is less than that of \( X \) by \( p \)%. What is the value of \( p \)?
In a water tank there are two outlets. It takes 20 minutes to empty the tank if both the outlets are opened. If the first outlet is opened, the tank is emptied in 30 minutes. What is the time taken to empty the tank by second outlet?
