Answer :

Let's break down the given statement to determine the value of "answer":

1. First Part of the Statement:
- We need to evaluate [tex]\(5 < 10\)[/tex].
- Since [tex]\(5\)[/tex] is indeed less than [tex]\(10\)[/tex], the result of this part is [tex]\(\text{True}\)[/tex].

2. Second Part of the Statement:
- We need to evaluate [tex]\(33 \% 10 == 3\)[/tex].
- The modulus operation [tex]\(33 \% 10\)[/tex] calculates the remainder when [tex]\(33\)[/tex] is divided by [tex]\(10\)[/tex].
- When [tex]\(33\)[/tex] is divided by [tex]\(10\)[/tex], the quotient is [tex]\(3\)[/tex] and the remainder is [tex]\(3\)[/tex]. Therefore, [tex]\(33 \% 10 = 3\)[/tex].
- As a result, [tex]\(33 \% 10 == 3\)[/tex] is [tex]\(\text{True}\)[/tex].

3. Combining Both Parts:
- The logical AND operator (\&&) is used to combine the results of the first and second parts.
- The statement now is: [tex]\(\text{True} \&\& \text{True}\)[/tex].
- The logical AND operator returns [tex]\(\text{True}\)[/tex] if both operands are [tex]\(\text{True}\)[/tex].

Therefore, after executing the statement, the value of "answer" will be:

[tex]\[ \text {answer } = \text{True} \][/tex]

So, the correct option is:
TRUE