Question : The third proportion of 0.024 and 0.12 is:
Option 1: 0.060
Option 2: 6.000
Option 3: 0.600
Option 4: 0.006
Correct Answer: 0.600
Solution :
Given: Let $a$ = 0.024 and $b$ = 0.12 We know that, The third proportional of $a$ and $b$ = $\frac{b^2}{a}$ = $\frac{(0.12)^2}{0.024}$ = $\frac{0.12\times0.12}{0.024}$ = $0.600$ Hence, the correct answer is 0.600.
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Question : The mean proportional of 0.04 and 0.36 is:
Option 1: 0.144
Option 2: 1.2
Option 3: 12
Option 4: 0.12
Question : Two equal glasses filled with alcohol and water in the proportions 2 : 1 and 3 : 2 are emptied into a third glass. The proportion of alcohol and water in the third glass will be:
Option 1: 13 : 17
Option 2: 19 : 17
Option 3: 13 : 11
Option 4: 19 : 11
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 : 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
Question : The ratio of the third proportional to 16 & 40 and the mean proportional between 10 & 40 is:
Option 1: 5 : 1
Option 2: 1 : 5
Option 3: 4 : 1
Option 4: 1 : 4
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