Question : The third proportional to 12 and 18 is:
Option 1: 3
Option 2: 6
Option 3: 27
Option 4: 144
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Correct Answer: 27
Solution : Let the third proportional be $x$. Then, $12:18=18:x$ ⇒ $\frac{12}{18}=\frac{18}{x}$ ⇒ $x=\frac{18×18}{12}=\frac{54}{2}=27$ Hence, the correct answer is 27.
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Question : Directions: Which two numbers, from amongst the given options, should be interchanged to make the given equation correct? 18 + (12 x 6) + (63 ÷ 7) x 4 + (27) – 11 = 112
Question : If $\frac{1}{a}(a^2+1)=3$, then the value of $\frac{a^6+1}{a^3}$ is:
Question : X is directly proportional to the square of Y. When X is 12, then Y is 2. Find the value of X when Y is 3.
Question : Direction: If, 6 x 4= 12 4 x 12= 24 12 x 6= 36 then 6 x 9= ?
Question : If $a=-12, b=-6$, and $c=18$, then what is the value of $\frac{2 a b c}{9}$?
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