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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
Answer (1)
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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