Inequalities Questions

In Karthik's opinion, his weight is greater than $55\text{kg}$ but less than $62\text{kg}$. His father does not agree with Karthik, and he thinks that Karthik's weight is greater than $50\text{kg}$ but less than $60\text{kg}$. His sister's view is that his weight cannot be greater than $58\text{kg}$. If all are correct in their estimation, what is the average of the different possible weights of Karthik?

A number $X$ lies between $0$ and $1$. Which of the following is true?

If 5−3x<4−x and 5(2−x)>2−2x, then x can take which of the following values?

If 2x+2(1−x)>3x−2>2x−5, then x can take which of the following values?

Among four friends A, B, P and Q (each earning a different amount), who earns the most?
(I) P earns more than A but less than both B and Q.
(II) B earns more than P but less than Q. A does not earn the most.

If $-7\le x\le 7$ and $0<y\le 12$, what is the greatest possible value of $(y-x)$?

If $A+B>C+D$ and $B+C>A+D$, then it is definite that

A number $X$ lies between $0$ and $1$. Which of the following is true?

If $A>B$, $B>C$ and $C>D$, then which of the following conclusions is definitely wrong?