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the number of positive integral solutions of abc 3
Question:
The number of positive integral solutions of \( abc = 30 \) is:
Show Hint
To find the number of positive integral solutions, first factor the given number and count the number of divisors.
BITSAT - 2012
BITSAT
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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