Rashi remembers that her mother's birthaday is after 2nd January but before 5 January. Rashi's brother remember that his mother's birthday is after 3rd January but before 6th January
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rashi remembering dates are after 2nd and before 5th
rashi brother remembering dates are after 3rd and before 6th
so , here
rashi mother's birthday should be after 3rd January and before 5th January.
from that we conclude that rashi mother's birthday is must be on 4th January.
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