बूझो तो जाने पहेली Maths puzzle game

As he swam deeper, Mario bumped into Old Man Octopops, who, like his friend, Mr. Quacky Duck, is very fond of puzzles and weird games. (i) Firstly, Octopops gives Mario to control three ‘squid’ pieces, while he himself controls a single ‘shark’ piece. Initially, all four pieces are placed somewhere along a straight line. They take turns making moves, with Mario going first. Each move, a player is allowed to move one of his pieces a distance of at most one unit along the straight line. Octopops wins if his ‘shark’ piece can catch one of the ‘squid’ pieces. (ii) The same game is now played on a two-dimensional plane instead of a straight line. The rules are the same, except now Mario is given 20 ‘squid’ pieces. Can Octopops always win? Answer for both the questions.

LIMITS + Integration | JEE Main Maths Repeated Question | बार बार पूछे जाने वाले सवाल

After that gruesome challenge, Professor McGonagall decides to test Harry with one of her favourite puzzles. In a party, Minerva and her friends decide to play a party game with cards. There are 20 cards arranged in a row on the table. Each card is showing a positive integer. On each player's turn, he is allowed to take either the left most or right most card. This is done until all the cards are taken. The winner is the player who has the greatest sum of num- bers on his/her cards. What should be Minerva’s first move so that she can win the game? The sequences are: A rarr 2 11 13 8 12 5 6 8 9 21 10 7 15 17 18 4 16 18 19 1 B rarr12 18 13 4 8 16 17 5 3 19 21 1 6 11 12 18 14 15 6 9