Others Maths Puzzle

A Coin of Radius 1 cm is flipped and it falls on a square of side 10cm, what is the probability that the coin is exactly inside the square, i.e, no part is out of the square?

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Others Other Question

Shonika and Smaraki are playing a game where they pick up coins alternately from the coins kept on a table. The rules of the game say that each person has to pick up at least one coin in her turn no person can pick up more than 6 coins in each turn The person who picks up the last coin from the table is the loser and the other person is the winner.
Q . If, at some stage of the game, there are 16 coins on the table, and it is Shonika's turn first, how many coins should she pick to make sure she wins?
A.1 B.2 C.3 D.4
very Saturday, the members of Raja Harish
Chandra Club meet in the evening. All the members of
the club are honest and never lie. Last Saturday, the
following conversation was heard at one of the tables
with five members sitting around it.
Satya Sadhan: In this club not all members are
friends with each other. Satyabrata: None of the pair of
friends in this club has any common friend.
Satyajit: Every pair of members who are not
friends has exactly two common friends in this club.
Satya Pramod: There are fewer than 22 people in this
club.
54. How many members are there in the club?
A. 5 B. 7
C. 15 D. 16
E. 20 (5 Marks)
55. How many friends does Satya Sadhan have in
the club?
A. 2 B. 3
C. 5 D. 7
E. 8