Q. Some birds settled on the branches of a tree. First, they sat one to a branch and there was one bird too many. Next they sat two to a branch and there was one branch too many. How many branches were there?

  • (A) 3
  • (B) 4
  • (C) 5
  • (D) 6
βœ… Correct Answer: (A) 3
Explanation: When the birds sat one on a branch, there was one extra bird.
When they sat Two to a branch one branch was extra.
Now, we go through the options;

Checking option (A);
If there were 3 branches, there would be 4 birds.
(This would leave one bird without branch as per the question.)
When 4 birds would sit Two to a branch there would be one branch free
(as per the question.).
Hence, the option (A) is correct.
Explanation by: Mahesh Chandra
When the birds sat one on a branch, there was one extra bird.
When they sat Two to a branch one branch was extra.
Now, we go through the options;

Checking option (A);
If there were 3 branches, there would be 4 birds.
(This would leave one bird without branch as per the question.)
When 4 birds would sit Two to a branch there would be one branch free
(as per the question.).
Hence, the option (A) is correct.

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