Question : The third proportion to 25 and 35 is:
Option 1: 35
Option 2: 49
Option 3: 40
Option 4: 25
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Correct Answer: 49
Solution : Let $x$ be the third proportional to 25 and 35. Then $25 : 35:: 35: x$ ⇒ $25\times x=35\times35$ [Product of extremes] ⇒ $x=\frac{35\times35}{25}=7\times7=49$ Hence, the correct answer is 49.
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Question : What smallest positive number should be subtracted from 2 and 3 so that 4 is the third proportion to them?
Option 1: 1
Option 2: 2
Option 3: 4
Option 4: 3
Question : What is the third proportional number to 10 and 20?
Option 1: 30
Option 2: 25
Option 3: 50
Option 4: 40
Question : If $\frac{A}{3}=\frac{B}{2}=\frac{C}{5}$, what is the value of ratio $(C+A)^{2}:(A+B)^{2}:(B+C)^{2}$?
Option 1: $9:4:25$
Option 2: $25:4:9$
Option 3: $64:25:49$
Option 4: $49:25:64$
Question : The sides of two similar triangles are in the ratio 5 : 7. The areas of these triangles are in the ratio of:
Option 1: 35 : 49
Option 2: 15 : 49
Option 3: 25 : 49
Option 4: 36 : 49
Question : Directions: Which of the following interchange of numbers and mathematical signs would make the given equation correct? 30 ÷ 6 × 4 + 15 − 35 = 25
Option 1: 25 and 30; × and –
Option 2: 4 and 6; + and –
Option 3: 25 and 35; × and ÷
Option 4: 30 and 35; – and ÷
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