The Question is from neet-botany sexual-reproduction-in-flowering-plants , and it was created by the author B VENKAT

Question

Which of the following statements is wrong?

B VENKAT · Accepted Answer

## CORE INFORMATION
✓ **Answer**: A
## CONCEPT FRAMEWORK
	**Primary Concept**: Prime Numbers
	**Related Topics**: Number Theory, Divisibility
	**Prerequisites**: Definition of a prime number
## SOLUTION PATHWAY
**Given Information**:
	Four statements about prime numbers.
**Method & Steps**:
	1. Recall the definition of a prime number: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
	Reasoning: We need to check each statement against this definition.
	2. Analyze each option:
		 A. 1 is a prime number. This is false, as prime numbers must be greater than 1.
		 B. There are infinitely many prime numbers. This is a known true statement (Euclid's Theorem).
		 C. 2 is the only even prime number. This is true, as any other even number is divisible by 2, and thus has more than two factors.
		 D. All prime numbers greater than 2 are odd. This is true, as any number greater than 2 that is not odd is even, and therefore divisible by 2, making it not prime.
	3. Identify the incorrect statement.
		Result: Statement A is incorrect.
		Verification: The definition of a prime number excludes 1.
## OPTION ANALYSIS
[A] :x: 1 is not a prime number because a prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. 1 only has one positive divisor (itself).
[B] ✓: This statement is a fundamental theorem in number theory (Euclid's Theorem).
[C] ✓: 2 is a prime number as it is only divisible by 1 and itself. Any other even number is divisible by 2, and therefore has more than two factors, so it cannot be prime.
[D] ✓: If a prime number greater than 2 were even, it would be divisible by 2, which would contradict the definition of a prime number. Therefore, all prime numbers greater than 2 must be odd.
## LEARNING AIDS
	**Common Mistakes**:
		1. Misremembering the definition of a prime number: Ensure you remember that prime numbers must be greater than 1.
		2. Confusing prime and odd numbers: While all prime numbers greater than 2 are odd, not all odd numbers are prime (e.g., 9, 15).
	**Quick Tips**:
		1. The first few prime numbers are 2, 3, 5, 7, 11, 13...
		2. 2 is the only even prime number. Remember this exception.

B VENKAT · Answer

The correct Option is "1 is a prime number."

B VENKAT · Answer

There are infinitely many prime numbers.

B VENKAT · Answer

2 is the only even prime number.

B VENKAT · Answer

All prime numbers greater than 2 are odd.

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