Question

In a forest there are as many Santa Trees as there are Ajanta Trees. One-fourth of all the tree are old. One-half of the total trees are in flowering stage. Which of the following statement is true?

• A. All Ajanta Trees are in flowering stage
• B. All Santa Trees are in flowering stage
• C. Atleast half Ajanta Trees are old
• D. None of the above

Answer 1

The Correct Option is D

Let's break down the problem step by step:
1. There are as many Santa Trees as there are Ajanta Trees.
2. One-fourth of all the trees are old.
3. One-half of the total trees are in the flowering stage.
Now, let's examine the options:
All Ajanta Trees are in the flowering stage:
This cannot be true because only half of all trees are in the flowering stage, and Ajanta trees make up just half of the total trees. So, this option is incorrect.
All Santa Trees are in the flowering stage:
This is also incorrect for the same reason as above. Only half of the total trees are flowering, so not all Santa Trees can be in the flowering stage.
At least half Ajanta Trees are old:
This cannot be true either, since only one-fourth of the total trees are old, so not half of the Ajanta trees can be old.
None of the above:
Given that none of the other statements are true, this is the correct option.
The correct answer is: (D) None of the above.