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Option 1 : 21 May
Manish remembers that his sister Joshi birthday was on a day after 17 but before 23 May → on a day i.e. 18, 19, 20, 21, 22
Her father remembers that Joshi’s birthday was after 19 but before 22 → either on 20, 21
Mother said that Joshi is born on a day between 20 and 24 May → on a day i.e. 21, 22, 23
Common date given by all members is 21.
Hence, the answer is 21 May.
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