Which set represents a pythagorean triple?

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Six books are kept one above the other. Hindi is just above Sanskrit. The English is between Mathematics and Science. Law is between Hindi and Mathematics. Which book is at the fourth position from top?

P, W, Q, X, R, Y, Z and S sit randomly in a circle facing each other. Consider the following information and questions based on it.

1. Y sits exactly between Q and R

2. P does not sit next to either X or Z

3. Z is to the immediate right of Q

4. S sits third from left of X and the right of Y.

X sits between -

P, W, Q, X, R, Y, Z and S sit randomly in a circle facing each other. Consider the following information and questions based on it.

1. Y sits exactly between Q and R

2. P does not sit next to either X or Z

3. Z is to the immediate right of Q

4. S sits third from left of X and the right of Y.

If they all were facing outside the circle, W would be the left of -

P, W, Q, X, R, Y, Z and S sit randomly in a circle facing each other. Consider the following information and questions based on it.

1. Y sits exactly between Q and R

2. P does not sit next to either X or Z

3. Z is to the immediate right of Q

4. S sits third from left of X and the right of Y.

Who sits to the left of S?

Answer the questions based on the following information.

Six colleagues are sitting in a circle and are facing the center of the circle. Diana is between Puskar and Padma. Priyanka is between Mahesh and Lucky. Puskar and Mahesh are opposite to each other.

Who is sitting opposite to Priyanka?

Answer the questions based on the following information.

Six colleagues are sitting in a circle and are facing the center of the circle. Diana is between Puskar and Padma. Priyanka is between Mahesh and Lucky. Puskar and Mahesh are opposite to each other.

Who is just right to Padma?

Answer the questions based on the following information.

Six colleagues are sitting in a circle and are facing the center of the circle. Diana is between Puskar and Padma. Priyanka is between Mahesh and Lucky. Puskar and Mahesh are opposite to each other.

Who are the neighbours of Mahesh?