Study the following statements carefully and select the correct option .
Statement - 1 : Additive identify does not exist in natural numbers .
Statements - 2 : Sandeep distributes `4` boxes of sweets . If each box comprises `6` chocolates and `10` candies, then there are `64` sweets in `4` boxes .

Options

A. Both Statements - 1 and Statement - 2 are true .
B. Statements - 1 is true but Statement - 2 is false .
C. Statemets - 1 is false but Statement - 2 is true .
D. Both Statement - 1 and Statement - 2 are false

Answer

To solve the question, we need to analyze both statements provided and determine their correctness.

### Step 1: Analyze Statement 1
**Statement 1:** "Additive identity does not exist in natural numbers."

- The additive identity is a number that, when added to any number, results in the same number. For example, if we add 0 to any number \( n \), we get \( n \) (i.e., \( n + 0 = n \)).
- The additive identity is 0. However, 0 is not included in the set of natural numbers (which starts from 1 and goes on: 1, 2, 3, ...).
- Therefore, since the additive identity (0) is not a natural number, we conclude that **Statement 1 is correct.**

### Step 2: Analyze Statement 2
**Statement 2:** "Sandeep distributes 4 boxes of sweets. If each box comprises 6 chocolates and 10 candies, then there are 64 sweets in 4 boxes."

- First, we need to calculate the total number of sweets in one box.
- Each box has 6 chocolates and 10 candies.
- Total sweets in one box = 6 (chocolates) + 10 (candies) = 16 sweets.

- Now, we calculate the total number of sweets in 4 boxes.
- Total sweets in 4 boxes = 16 sweets/box × 4 boxes = 64 sweets.

- Therefore, **Statement 2 is also correct.**

### Conclusion
Both statements are true.

### Final Answer:
Both Statement 1 and Statement 2 are correct.

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