Question:

The number of positive integral solutions of \( abc = 30 \) is:

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To find the number of positive integral solutions, first factor the given number and count the number of divisors.
Updated On: Mar 25, 2026
  • 30
  • 27
  • 8
  • None of these
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The Correct Option is B

Solution and Explanation


Step 1: Solve for the number of solutions.

We find the total number of positive integral solutions by factoring the number 30 and finding the divisors. After calculating, we find that the number of solutions is 27.
Thus, the correct answer is (2).
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