II.15 Four numbers in square cards

As shown in a figure, the square card was equally divided into four and the integer was written to each portion sequentially from 1.

A lot of these cards were made.

All the sizes of the card are same.

Answer the following questions.




(1) Cards were arranged according to the direction in the figure from left to right sequentially from the 1st card.


Which card is the first card for the sum of the two number of the upper rows of one card to become larger than 120?

(2) The card was piled up in order by direction in the figure from the 1st card to the 50th card.


Find the sum total of 50 numbers which has overlapped with the number 1 of the 1st card including 1 of the 1st card.

(3) Rotate 90 degrees of the 1st card counterclockwise and pile up on the 2nd card.


Next, rotate 90 degrees counterclockwise both of 1st and 2nd cards piled up and 2 cards are piled up on the 3rd card.

Thus, when you pile up 50 cards, find the sum totals of 50 numbers including 3 which has overlapped with the number 3.









Answer
(1) 16th card
(2) 4950
(3) 5025