Question : What is the third proportional number to 10 and 20?
Option 1: 30
Option 2: 25
Option 3: 50
Option 4: 40
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Correct Answer: 40
Solution : Let the third proportional be $x$. So, $a:b::b:x$ ⇒ $10:20::20:x$ ⇒ $\frac{10}{20}=\frac{20}{x}$ ⇒ $x=\frac{400}{10}$ = 40 Hence, the correct answer is 40.
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Question : Solve the following expression. $50-[20+(30-(25-5))]$
Option 1: 10
Option 2: 30
Option 3: 20
Question : Of the three numbers whose average is 40, the first is $\frac{1}{3}$rd of the sum of the other two. What is the first number?
Option 1: 20
Option 2: 50
Option 3: 25
Option 4: 30
Question : The third proportion to 25 and 35 is:
Option 1: 35
Option 2: 49
Option 3: 40
Option 4: 25
Question : A bag contains INR 550 in the form of 50 p, 25 p, and 20 p coins in the ratio 2 : 3 : 5. The difference between the amounts that are contributed by the 50 p and the 20 p coins is:
Option 1: INR 30
Option 2: INR 20
Option 3: INR 10
Option 4: INR 0
Question : What is the ratio of the mean proportional between 1.6 and 3.6 and the third proportional of 5 and 8?
Option 1: 2 : 15
Option 2: 5 : 16
Option 3: 3 : 16
Option 4: 4 : 15
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