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
Option 1: 18 and 11
Option 2: 12 and 4
Option 3: 6 and 4
Option 4: 18 and 12
Question : If $\frac{1}{a}(a^2+1)=3$, then the value of $\frac{a^6+1}{a^3}$ is:
Option 1: 9
Option 2: 18
Option 4: 1
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.
Option 1: 30
Option 2: 9
Option 4: 18
Question : Direction: If, 6 x 4= 12 4 x 12= 24 12 x 6= 36 then 6 x 9= ?
Option 1: 35
Option 2: 24
Option 4: 31
Question : Which of the given responses would be a meaningful order of the following?
1.Rivulet 2.Ocean 3.Tributary 4.River 5.Sea 6.Rain
Option 1: 6 5 3 1 2 4
Option 2: 6 4 1 3 5 2
Option 3: 6 1 3 4 5 2
Option 4: 5 6 1 3 2 4
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