Gate Exam Logical Reasoning Blood Relations

From a circular sheet of paper of radius 30 cm, a sector of 10% area is removed. If remaining part is used to make a conical surface, then the ratio of the radius and height of the cone is....

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Number of four digits number having their digits in non-decreasing order(from left to right)
constructed by using the digits belonging to the set {1,2,3} is
In a room there are only two types of people, namely Type 1 and Type 2. Type 1 people
always tell the truth and Type 2 people always lie. Your give a fair coin to a person in that
room, without knowing which type he is from and tell him to loss it and hide the result from
you till you ask for it. Upon asking, the person replies the following.

“The result of the toss is head if and only if I am telling the truth.”

Which of the following options are correct?

(A) The result is head
(B) The result is tail
(C) If the person is of Type 2, then the result is tail
(D) If the person is of Type 1, then the result is tail