# Quantitative Aptitude – Set Theory – Mr Jose buys some eggs

## XAT 2021 Exam Paper – Quantitative Aptitude – Set Theory – Mr Jose buys some eggs

Q. Mr. Jose buys some eggs. After bringing the eggs home, he finds two to be rotten and throws them away. Of the remaining eggs, he puts five-ninth in his fridge, and brings the rest to his mother’s house. She cooks two eggs and puts the rest in her fridge. If her fridge cannot hold more than five eggs, what is the maximum possible number of eggs bought by Mr. Jose?
1. 20
2. 17
3. 9
4. 29
5. 11

Solutions:
Let the number of eggs bought = x
number of eggs left after throwing away 2rotten eggs = x -2
number of eggs kept in fridge by Jose = 5 (x-2)/9
number of eggs brought to his mothers’ house = 4(x-2)/9
number of eggs kept in fridge of her mother = 4(x-2)/9 – 2
As per question,
4(x-2)/9 – 2 <=5
4(x-2)/9 <= 7
(x-2)/9 <=7/4
As (x-2)/9 is integer so maximum possible value of (x-2)/9 =1
Or x-2 =9
Or x= 11

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