Latest Infosys Aptitude Question SOLUTION: find a number that divide 37,67,97 reminders will be 1,2,3 respectively.

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find a number that divide 37,67,97 reminders will be 1,2,3 respectively.

Asked In Infosys (12 years ago)

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Read Solution (2) :

Neelang mishra  (7 years ago)

N should divide
(37-1)
(67-2)
(97-3)

Is this solution Helpfull? Yes | No (1)  

ragu  (5 years ago)

37,67,97
x =1074+2479v=1074+2479(61+97w)=1074+151219+240463w=152293+240463w

So 152293 , or 152293 plus a multiple of 240463 are the only numbers which leave all the wanted remainders.

Let's check:

152293 divided by 37 leaves a remainder of 1.

152293 divided by 67 leaves a remainder of 2.

152293 divided by 97 leaves a remainder of 3.

And 240463=37.67.97, so adding any multiple of this to 152293 will not change those remainders.

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