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Three terms a, b, c are said to be in proportion if ______________.
  • a)
    a : b = b : c
  • b)
    a : b = c : b
  • c)
    b : a = c : a
  • d)
    c : a = a : b 
Correct answer is option 'A'. Can you explain this answer?
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Three terms a, b, c are said to be in proportion if ______________.a)a...
Proportion in Mathematics

Proportion in mathematics means that the ratio of two quantities is equal to the ratio of two other quantities. In simpler terms, if three terms a, b, and c are in proportion, it means that a:b is equal to b:c.

Example:

If a=2, b=4, and c=8, then a:b is 2:4, and b:c is 4:8. As we can see, a:b is equal to b:c, which means that a, b, and c are in proportion.

Let's look at the given options:

a) a:b = b:c
This option is correct because it states that if a, b, and c are in proportion, then a:b is equal to b:c.

b) b:a = c:d
This option is incorrect because it states that if a, b, and c are in proportion, then b:a is equal to c:d, which is not true.

c) c:a = a:b
This option is incorrect because it states that if a, b, and c are in proportion, then c:a is equal to a:b, which is not true.

Therefore, the correct option is A, which states that if three terms a, b, and c are in proportion, then a:b is equal to b:c.
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Community Answer
Three terms a, b, c are said to be in proportion if ______________.a)a...
The correct condition for three terms �� a, �� b, and �� c to be in proportion is:
a:b=b:c
This means that the ratio of the first two terms is equal to the ratio of the last two terms.
So, the correct answer is: A:
a : b = b : c
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Passage – 2King Akbar was very fond of Birbal. This made a certain courtier very jealous. Now this courtier always wanted to be chief minister, but this was not possible as Birbal filled that position. One day Akbar praised Birbal in front of the courtier. This made the courtier very angry and he said that the king praised Birbal unjustly and if Birbal could answer three of his questions, he would accept the fact that Birbal was intelligent. Akbar always wanting to test Birbal’s wit readily agreed. The three questions were 1. How many stars are there in the sky? 2. Where is the centre of the Earth? 3. How many men and how many women are there in the world? Immediately Akbar asked Birbal the three questions and informed him that if he could not answer them, he would have to resign as chief minister. To answer the first question, Birbal brought a hairy sheep and said, There are as many stars in the sky as there is hair on the sheep’s body. My friend the courtier is welcome to count them if he likes. To answer the second question, Birbal drew a couple of lines on the floor and bore an iron rod in it and said, this is the centre of the Earth, the courtier may measure it himself if he has any doubts. In answer to the third question, Birbal said, Counting the exact number of men and women in the world would be a problem as there are some specimens like our courtier friend here who cannot easily be classified as either. Therefore if all people like him are killed, then and only then can one count the exact number.Choose the most appropriate synonym for the underlined word from the options listed belowQ. Akbar told Birbal that he would have to resign if he fails to answer correctly.

Passage – 2King Akbar was very fond of Birbal. This made a certain courtier very jealous. Now this courtier always wanted to be chief minister, but this was not possible as Birbal filled that position. One day Akbar praised Birbal in front of the courtier. This made the courtier very angry and he said that the king praised Birbal unjustly and if Birbal could answer three of his questions, he would accept the fact that Birbal was intelligent. Akbar always wanting to test Birbal’s wit readily agreed. The three questions were 1. How many stars are there in the sky? 2. Where is the centre of the Earth? 3. How many men and how many women are there in the world? Immediately Akbar asked Birbal the three questions and informed him that if he could not answer them, he would have to resign as chief minister. To answer the first question, Birbal brought a hairy sheep and said, There are as many stars in the sky as there is hair on the sheep’s body. My friend the courtier is welcome to count them if he likes. To answer the second question, Birbal drew a couple of lines on the floor and bore an iron rod in it and said, this is the centre of the Earth, the courtier may measure it himself if he has any doubts. In answer to the third question, Birbal said, Counting the exact number of men and women in the world would be a problem as there are some specimens like our courtier friend here who cannot easily be classified as either. Therefore if all people like him are killed, then and only then can one count the exact number.Choose the most appropriate synonym for the underlined word from the options listed belowQ. According to Birbal, counting exact number of people in the world is difficult.

Passage – 2King Akbar was very fond of Birbal. This made a certain courtier very jealous. Now this courtier always wanted to be chief minister, but this was not possible as Birbal filled that position. One day Akbar praised Birbal in front of the courtier. This made the courtier very angry and he said that the king praised Birbal unjustly and if Birbal could answer three of his questions, he would accept the fact that Birbal was intelligent. Akbar always wanting to test Birbal’s wit readily agreed. The three questions were 1. How many stars are there in the sky? 2. Where is the centre of the Earth? 3. How many men and how many women are there in the world? Immediately Akbar asked Birbal the three questions and informed him that if he could not answer them, he would have to resign as chief minister. To answer the first question, Birbal brought a hairy sheep and said, There are as many stars in the sky as there is hair on the sheep’s body. My friend the courtier is welcome to count them if he likes. To answer the second question, Birbal drew a couple of lines on the floor and bore an iron rod in it and said, this is the centre of the Earth, the courtier may measure it himself if he has any doubts. In answer to the third question, Birbal said, Counting the exact number of men and women in the world would be a problem as there are some specimens like our courtier friend here who cannot easily be classified as either. Therefore if all people like him are killed, then and only then can one count the exact number.Choose the most appropriate synonym for the underlined word from the options listed belowQ. He said that the iron rod bored into the floor was centre of the Earth.

Passage – 2King Akbar was very fond of Birbal. This made a certain courtier very jealous. Now this courtier always wanted to be chief minister, but this was not possible as Birbal filled that position. One day Akbar praised Birbal in front of the courtier. This made the courtier very angry and he said that the king praised Birbal unjustly and if Birbal could answer three of his questions, he would accept the fact that Birbal was intelligent. Akbar always wanting to test Birbal’s wit readily agreed. The three questions were 1. How many stars are there in the sky? 2. Where is the centre of the Earth? 3. How many men and how many women are there in the world? Immediately Akbar asked Birbal the three questions and informed him that if he could not answer them, he would have to resign as chief minister. To answer the first question, Birbal brought a hairy sheep and said, There are as many stars in the sky as there is hair on the sheep’s body. My friend the courtier is welcome to count them if he likes. To answer the second question, Birbal drew a couple of lines on the floor and bore an iron rod in it and said, this is the centre of the Earth, the courtier may measure it himself if he has any doubts. In answer to the third question, Birbal said, Counting the exact number of men and women in the world would be a problem as there are some specimens like our courtier friend here who cannot easily be classified as either. Therefore if all people like him are killed, then and only then can one count the exact number.Choose the most appropriate synonym for the underlined word from the options listed belowQ. The courtier agreed to acknowledge Birbal’s intelligence if he could correctly answer three questions.

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Three terms a, b, c are said to be in proportion if ______________.a)a : b = b : cb)a : b = c : bc)b : a = c : ad)c : a = a : bCorrect answer is option 'A'. Can you explain this answer?
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