NIMCET 2019 Question Paper with solutions

Question : 71 of 120

Marks: +1, -0

A grocer sells half of the eggs that he has and another half an egg to anurag .Then he sells half of the balance egg and another half an egg to Deepak . Then he sells half of the balance eggs and another half an eggs to shivani. In the end he is left with just 7 eggs and he claims that he never broke an egg. How many eggs did he start with?

Validate

Solution:

It is better to solve this question from the last As per the given condition after selling half an egg more than half the number of eggs to Shivani. the grocer was left with 7 eggs. Therefore before selling eggs to shivani the grocer had

(7+1/2)2

i.e 15 eggs
So. after selling half an egg more than half the number of eggs to Deepak. the grocer was left with 15 eggs
Therefore, before selling eggs to Deepak. the grocer had

(15+1/2)2

i.e 31 eggs
Similarly, before selling eggs to Anurag (i.e. at the start) the grocer had

(31+1/2)2

i.e. 63 eggs

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