Question:

In a four-digit positive integer \(y\), the thousand's digit is three times the unit's digit. Compare the unit's digit of \(y\) (Quantity A) with 4 (Quantity B).

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When comparing digit-based constraints, always consider the allowable digit range (0–9).
Updated On: Sep 30, 2025
  • Quantity B is greater.
  • The relationship cannot be determined.
  • The two quantities are equal.
  • Quantity A is greater.
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The Correct Option is B

Solution and Explanation

Step 1: Define the digits.
Let unit digit = \(u\). Then thousand’s digit = \(3u\).
Step 2: Possible values.
Since digits are between 0 and 9: \[ 3u \leq 9 \quad \Rightarrow \quad u \leq 3 \] So possible values for \(u\) = 1, 2, 3.
Step 3: Compare with 4.
- If \(u = 1, 2, 3\), Quantity B (4) is greater. - But if other conditions modify, relationship may vary. Thus, conclusion: cannot be determined.
Final Answer: \[ \boxed{\text{The relationship cannot be determined.}} \]
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