Question : The third proportional to 4 and 6 is:
Option 1: 9
Option 2: 16
Option 3: 6
Option 4: 36
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Correct Answer: 9
Solution : The third proportional to $a$ and $b$ = $\frac{b^2}{a}$ The third proportional to 4 and 6 = $\frac{6^2}{4}$ = $\frac{36}{4}$ = 9 Hence, the correct answer is 9.
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Question : Directions: By interchanging two numbers the equation will be correct. 3 × 9 – 4 ÷ 2 + 6 = 28
Option 1: 9 and 2
Option 2: 6 and 4
Option 3: 3 and 6
Option 4: 9 and 6
Question : If the third proportion of 3 and $x$ is 27 and the third proportion of 2 and $y$ is 8, then find $x : y$.
Option 1: 7 : 9
Option 2: 4 : 5
Option 3: 3 : 7
Option 4: 9 : 4
Question : The first, third and fourth terms of a proportion are 8, 16, and 6 respectively. What is the second term?
Option 1: 3
Option 2: 6
Option 3: 8
Option 4: 12
Question : Of the three numbers, the first is twice the second, and the second is twice the third. The average of the reciprocal of the numbers is $\frac{7}{12}$. The numbers are:
Option 1: 20, 10 and 5
Option 2: 4, 2 and 1
Option 3: 36, 18 and 9
Option 4: 16, 8 and 4
Question : Directions: By interchanging which two numbers the equation will be correct. 9 × 3 ÷ 6 + 4 – 8 = 1
Option 1: 8 and 9
Option 2: 3 and 6
Option 3: 3 and 4
Option 4: 6 and 8
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