Question:

The alphabets a, b, c represent integers forming a two-digit number 'ab' and a three digit number 'ccb'. Both defined under the usual decimal number system. If $(ab)^2 = ccb$ and $ccb>300$, then the value of b is:

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When dealing with quadratic equations, carefully solve for the unknowns and check the conditions for consistency.
Updated On: Mar 20, 2026
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The Correct Option is C

Solution and Explanation

We solve the equation $(ab)^2 = ccb$ under the conditions given. By solving for b, we find that $b = 5$ satisfies the equation.
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