MP Board · Class 6 · Mathematics · Playing with NumbersWhat is the smallest digit that should replace in $472$ so that the number is divisible by 3?
Step-by-Step Solution
The correct answer is 2.
Explanation:
- Sum of known digits = $4 + 7 + 2 = 13$.
- For $13 + *$ to be divisible by 3, the next multiple of 3 is 15.
- So, $* = 15 - 13 = 2$.
- Replacing * with 2 gives $4722$, whose digit sum is $4+7+2+2=15$, which is divisible by 3.
Detailed Options Breakdown
Option : 0
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
Option 1: 1
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
Option 2: 2 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: 3
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
💡 Study Guide: This question tests core syllabus concepts from Playing with Numbers. For formulas, key summaries, and mock exam reference guides, read the full Playing with Numbers Revision Notes.