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There is a series of numbers which follow some definite order. Find the missing term and complete the series.
3, 4, 5, 5, 12, 13, 7, 24, 25, 9, ?, 41
- a)40
- b)35
- c)24
- d)16
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
There is a series of numbers which follow some definite order.Find the...
Series: 3, 4, 5, 5, 12, 13, 7, 24, 25, 9, ?, 41
Observations:
- The series consists of pairs of numbers that are Pythagorean triplets, i.e., a^2 + b^2 = c^2.
- The first pair is (3,4,5), the second pair is (5,12,13), and the third pair is (7,24,25).
- The third number of each pair is repeated as the first number of the next pair.
- The missing number should be the second number of the fourth pair.
Working:
- The fourth pair should be a Pythagorean triplet with 9 as one of the numbers.
- Trying with 9, we get (9,40.3112887,41) which is not a Pythagorean triplet.
- Trying with 15, we get (9,40.3112887,41) which is also not a Pythagorean triplet.
- Trying with 40, we get (9,40,41) which is a Pythagorean triplet.
- Therefore, the missing number is 40.
Answer: Option A (40)
Observations:
- The series consists of pairs of numbers that are Pythagorean triplets, i.e., a^2 + b^2 = c^2.
- The first pair is (3,4,5), the second pair is (5,12,13), and the third pair is (7,24,25).
- The third number of each pair is repeated as the first number of the next pair.
- The missing number should be the second number of the fourth pair.
Working:
- The fourth pair should be a Pythagorean triplet with 9 as one of the numbers.
- Trying with 9, we get (9,40.3112887,41) which is not a Pythagorean triplet.
- Trying with 15, we get (9,40.3112887,41) which is also not a Pythagorean triplet.
- Trying with 40, we get (9,40,41) which is a Pythagorean triplet.
- Therefore, the missing number is 40.
Answer: Option A (40)
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Community Answer
There is a series of numbers which follow some definite order.Find the...
The given numbers are in the set of three numbers which are Pythagorean triplet.
32 + 42 = 52, 52 + 122 = 132,
72 + 242 = 252, 92 + 402 = 412.
32 + 42 = 52, 52 + 122 = 132,
72 + 242 = 252, 92 + 402 = 412.
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There is a series of numbers which follow some definite order.Find the missing term and complete the series.3, 4, 5, 5, 12, 13, 7, 24, 25, 9, ?, 41a)40b)35c)24d)16Correct answer is option 'A'. Can you explain this answer?
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