Question : The mean proportion of 0.03 and 0.27 is:
Option 1: 0.09
Option 2: 0.06
Option 3: 0.03
Option 4: 0.15
Correct Answer: 0.09
Solution : We know, the mean proportion of two numbers, $a$ and $b$ is $\sqrt{ab}$. Here, $a = 0.03$ and $b = 0.27$ So, mean proportion = $\sqrt{ 0.03 \times 0.27}=\sqrt{0.0081}=0.09$ Hence, the correct answer is 0.09.
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Question : What is the LCM of 0.15, 0.18, and 0.45?
Option 1: 0.9
Option 2: 0.09
Option 3: 0.81
Option 4: 0.6
Question : The mean proportional between 0.03 and 0.0003 is:
Option 1: 0.0003
Option 2: 0.0013
Option 3: 0.003
Option 4: 0.033
Question : Find the mean proportion of $x^3y$ and $xy^3$.
Option 1: $x^2y^2$
Option 2: $x^3y^3$
Option 3: $xy$
Option 4: $x^4 y^4$
Question : If the LCM of two numbers a and b is 60 and their HCF is 15. Determine their mean proportion.
Option 1: 30
Option 2: 25
Option 3: 60
Option 4: 4
Question : The mean of $x$ and $\frac{1}{x}$ is $N$. Then the mean of $x^2$ and $\frac{1}{x^2}$ is:
Option 1: $N^2$
Option 2: $2N^2-1$
Option 3: $N^2-2$
Option 4: $4N^2-2$
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