Question

question 4

determine if the number is divisible by 3.
96

no
yes

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
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"concepts_used": [],
"new_concepts": [
"Divisibility Rules",
"Arithmetic"
],
"current_concepts": [
"Divisibility Rules",
"Arithmetic"
]
}
</pre_analysis>

<reasoning>

Sum the digits of the number

\[
9 + 6 = 15
\]

Check divisibility of the sum by 3

\[
\frac{15}{3} = 5
\]

Determine divisibility of the original number

Since the sum of the digits is divisible by 3, the number 96 is divisible by 3.
</reasoning>

<answer>
<mcq-option>no</mcq-option>
<mcq-correct>yes</mcq-correct>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Number Theory",
"Divisibility Rules"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [],
"new_concepts": [
"Divisibility Rules",
"Arithmetic"
],
"current_concepts": [
"Divisibility Rules",
"Arithmetic"
]
}
</pre_analysis>

<reasoning>

Sum the digits of the number

\[
9 + 6 = 15
\]

Check divisibility of the sum by 3

\[
\frac{15}{3} = 5
\]

Determine divisibility of the original number

Since the sum of the digits is divisible by 3, the number 96 is divisible by 3.
</reasoning>

<answer>
<mcq-option>no</mcq-option>
<mcq-correct>yes</mcq-correct>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Number Theory",
"Divisibility Rules"
]
}
</post_analysis>