Question : If A is the mean proportion of 24 and 6. B is the mean proportion of 81 and 9. Find the value of 3A + B.
Option 1: 33
Option 2: 32
Option 3: 63
Option 4: 55
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Correct Answer: 63
Solution : Given: A and B are the mean proportion. Now, $A=\sqrt{24\times6}$ ⇒ $A=12$ Similarly, $B=\sqrt{81\times9}$ ⇒ $B=27$ The value of $3A + B=3\times12+27= 36 + 27= 63$ Hence, the correct answer is 63.
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