Assertion (A) –the Square of the following number will be odd10,100,000,099Reasons (R) –Square of an   odd number is an odd number.

The assertion (A) is incorrect while the reason (R) is correct. Here's why:

Step 1: Understanding the assertion and reason The assertion is stating that the square of the number 10,100,000,099 will be odd. The reason provided is that the square of an odd number is an odd number.

Step 2: Checking the assertion The number 10,100,000,099 is indeed an odd number because its last digit is 9, which is odd. However, the assertion is claiming that the square of this number will be odd.

Step 3: Checking the reason The reason provided is correct. The square of an odd number is always odd. This is a well-known mathematical rule.

Step 4: Comparing the assertion and reason While the reason is correct, the assertion is incorrect. The square of the number 10,100,000,099 will not be odd, it will be even. This is because the square of any number ending in 9 (which is an odd number) will end in 1, which is odd. Therefore, the assertion is incorrect.