Tech Mahindra Company Numerical Ability Data Sufficiency

What is the birthdate of Nutan's mother? To answer this question, which of the following informations given in the statements A and B is/are sufficient?
(A) Nutan's father remembers that his wife's birthday is after 20th and before 23rd February.
(B) Nutan's brother remembers that their mother's birthday was after 21st but before 25th February.

a) Only B is sufficient
b) Only A is sufficient
c) Both A and B together are not sufficient
d) Both A and B together are needed
e) Either A or B is sufficient

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Tech Mahindra Other Question

At what time between 4 and 5 o'clock the hands are in opposite direction?

a) 12 2/11 minutes past 2
b) 3 1/11 minutes past 2
c) 15 minutes past 2
d) 54 6/11 minutes past 2
Two brothers were expected to return here on the same day. Rajat returned 3 days earlier but Rohit returned 4 days later. If Rajat returned on Thursday, what was the expected day when both the brothers were to return home and when did Rohit Return?

a) Wednesday, Sunday
b) Thursday, Monday
c) Sunday, Thursday
d) Monday, Friday