Can the sum of five odd numbers equal 30, an even number?

No, the sum of an odd number of odd numbers is always odd. Therefore, it is impossible for five odd numbers to sum to 30.

Fill in the blank: Parity refers to the property of a number being either ___ or ___.

even or odd

Riddle: I am a number that cannot be paired and always leave one out. What am I?

An odd number.

Fill in the blank: The sum of two odd numbers is ___ because it can be arranged in pairs.

Even

True or False: The sum of any three consecutive odd numbers is always divisible by 3.

Let the numbers be (2n–1), (2n+1), (2n+3). Their sum is 6n + 3, which is divisible by 3.

The sum of three numbers is 45. Two of them are even and one is odd. What is the parity (odd/even) of the total sum?

Odd (even + even + odd = odd)

True or False: A 3×3 magic square can have repeated numbers and still be called a magic square.

False

I’m part of a square with equal row, column, and diagonal sums. I’m neither the biggest nor smallest, but without me, it’s not magic. I live in the middle. Who am I?

5

What is the 100th odd number?

199 

(Use: 2n - 1 → 2×100 - 1)

Solve the cryptarithm
UT
+ TA
___________
TAT

Here T is at hundereds place , So T = 1
=> A= 0 and U=9
So, 91 + 10 = 101