self Maths Puzzle

A number was divided successively in order by 4,5,6. The remainders were 2,3,4 respectively. The number is

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self Other Question

Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?
There are 8 YES and NO questions. In how many ways can these be answered?

(1) 512
(2) 256
(3) 257
(4) 513