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Question

Sumitra remembers that her mother's birthday is after 13th February but before 16th February but her brother remembers that his mother's birthday is after 14th February but before 17th February. On which date Sumitra's mother's birthday will be celebrated?

This question was previously asked in
SSC CGL 2017 (Tier 1) Previous Year Paper (16-Aug-2017) (Shift 1)
The correct answer is

15th February

Since Sumitra remembers her mother's birthday is after 13th February and before 16th February, and her brother remembers it is after 14th February but before 17th February, the only common date that satisfies both is 15th February.

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