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A bird shooter was asked how many birds ...

A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds he had in the bag in all ?

A

9

B

18

C

27

D

36

Text Solution

Verified by Experts

The correct Answer is:
A

According to the question, three statements are as follow:
.There were all sparrows but six..
This statement means that six birds were not sparrows but only pigeons and ducks i.e.
Number of pigeons + Number of ducks = 6 ... (i)
Similarly, there were all pigeons but six. means that six birds were not pigeons but only Sparrows and ducks i.e.
Number of Sparrows + Number of ducks = 6 ... (ii)
And there were all ducks but six. means that six birds were not ducks but only Sparrows and pigeons i.e.
Number of Sparrows + Number of pigeons = 6 ... (iii)
From equation (i), (ii) & (iii), it is clear that Number of sparrows=Number of pigeons=Number of ducks = 3 [each]
So, total number of birds in the bag = 3 + 3 + 3 = 9 birds.
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