How many numbers are there from 1 to 1000 which when successively divided by 5,

Question

How many numbers are there from 1 to 1000 which when successively divided by 5, 6, 7 give remainders 2,4,5.

Answer: Option C
:
C

option c

The first number in this AP can be found as given above

The first term = ((((5*6) +4)*5) + 2

Common difference = 5*6*7=210

General form of the AP is therefore 172+210k,

So the numbers will be 172, 382,592 and 802

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