Question

Sonali remembers that her father's birthday falls after 23rd of December but before 30th of December
while Chandni, her sister, remembers that her father's birthday falls after 21st of December but before
27th of December but Sonali says that she exactly remembers that the birthday is not an even number
date. Which day is her father's birthday if both speak truth?​

Answer 1

Step-by-step explanation:

sonali tell between 23rd to 30th=24,25,26,27,28,29

chandini tells between 21st to 27th=22,23,24,25,26

now we can take common dates

:24,25,26

sonali says that birthdate is not an even number, that means birthdate is odd number

In the common dates there is only one odd number that is :25th

so the answer is 25th

please mark me as brainlist

Answer 2

Given: Sonali remembers that her father's birthday falls after 23rd of December but before 30th of December while Chandni, her sister, remembers that her father's birthday falls after 21st of December but before 27th of December but Sonali says that she exactly remembers that the birthdate is not an even number.

To find: Father's birth date if both speak truth

Solution: Let A = Birth dates according to Sonali and B = Birth dates according to Chandni

According to Sonali, birthday falls after 23rd of December but before 30th of December.

Therefore, A = 24th, 25th, 26th, 27th, 28th, 29th

According to Chandni, birthday falls after 21st of December but before 27th of December.

Therefore, B= 22nd, 23rd,24th, 25th, 26th

Since both of them speak truth, we take (A∩B) which is equal to the common dates in A and B.

Therefore, (A∩B)= 24th, 25th, 26th

An even number is a number which is divisible by 2. Here, 24 and 26 are even numbers and 25 is an odd number.

According to Sonali, birthday is not an even number. Therefore, 25 is the only date left.

Therefore, their father's birthday is on 25th December.