CA Foundation Exam > CA Foundation Questions > The numbers 14, 16, 35, 42 are not in proport...
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The numbers 14, 16, 35, 42 are not in proportion. The fourth term for which they will be in proportion is
- a)45
- b)40
- c)32
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The numbers 14, 16, 35, 42 are not in proportion. The fourth term for ...
Explanation:
To be in proportion, the product of the extremes (first and fourth terms) should be equal to the product of the means (second and third terms).
Let the fourth term be x.
Then, 14 : 16 :: 35 : 42 can be written as:
14/16 = 35/42
Simplifying this, we get:
21/8 = 5/2
This is not true. Therefore, the given numbers are not in proportion.
To find the fourth term for which they will be in proportion, we can use the formula:
a/b = c/d
=> a x d = b x c
Using this formula, we can find the fourth term:
14 x x = 16 x 35
=> x = (16 x 35)/14
=> x = 40
Therefore, the fourth term for which the given numbers will be in proportion is 40. Hence, option B is the correct answer.
To be in proportion, the product of the extremes (first and fourth terms) should be equal to the product of the means (second and third terms).
Let the fourth term be x.
Then, 14 : 16 :: 35 : 42 can be written as:
14/16 = 35/42
Simplifying this, we get:
21/8 = 5/2
This is not true. Therefore, the given numbers are not in proportion.
To find the fourth term for which they will be in proportion, we can use the formula:
a/b = c/d
=> a x d = b x c
Using this formula, we can find the fourth term:
14 x x = 16 x 35
=> x = (16 x 35)/14
=> x = 40
Therefore, the fourth term for which the given numbers will be in proportion is 40. Hence, option B is the correct answer.
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Community Answer
The numbers 14, 16, 35, 42 are not in proportion. The fourth term for ...
Product of mean = product of extremes
product of mean =16×35=560
product of extreme= 14×x (let us assume fourth term as x)
14×=560
x= 560÷14
x=40
product of mean =16×35=560
product of extreme= 14×x (let us assume fourth term as x)
14×=560
x= 560÷14
x=40
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The numbers 14, 16, 35, 42 are not in proportion. The fourth term for which they will be in proportion isa)45b)40c)32d)none of theseCorrect answer is option 'B'. Can you explain this answer?
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