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Direction: In each of the following questions, a number series is given with one missing term. Choose correct alternative that will continue the same pattern and fill in the blank spaces.
4, 7, 25, 10, __, 20, 16, 19, What number should fill the blank?
4, 7, 25, 10, __, 20, 16, 19, What number should fill the blank?
- a)13
- b)15
- c)20
- d)28
Correct answer is option 'A'. Can you explain this answer?
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Direction: In each of the following questions, a number series is give...
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Direction: In each of the following questions, a number series is give...
Given series: 4, 7, 25, 10, __, 20, 16, 19.
Observations:
- The series doesn't follow a clear mathematical pattern.
- The first two terms increase by 3 and the next term increases by 18.
- The fourth term decreases by 15 from the previous term.
- The fifth term is unknown.
Approach:
We can try to find a pattern in the differences between the terms in the series.
- The difference between 4 and 7 is 3.
- The difference between 7 and 25 is 18.
- The difference between 25 and 10 is -15.
- Let x be the missing term.
- The difference between x and 10 is 10-x.
- The difference between 20 and x is 20-x.
- The difference between 16 and 20 is 4.
- The difference between 19 and 16 is -3.
Based on these observations, we can form an equation:
3, 18, -15, 10-x, 20-x, 4, -3
The differences alternate between positive and negative values. So, the missing term must be a positive value to continue the pattern.
Solution:
Let's solve for x using the equation formed above.
- 3 + 18 - 15 + (10-x) + (20-x) + 4 - 3 = 0
- 17 - 2x = 0
- x = 8.5
However, the missing term must be a positive integer. So, we can round up the decimal value to the nearest integer.
- The closest integer greater than 8.5 is 9.
- Therefore, the missing term in the series is 9.
Answer: Option (a) 13 is incorrect. The correct answer is option (a) 9.
Observations:
- The series doesn't follow a clear mathematical pattern.
- The first two terms increase by 3 and the next term increases by 18.
- The fourth term decreases by 15 from the previous term.
- The fifth term is unknown.
Approach:
We can try to find a pattern in the differences between the terms in the series.
- The difference between 4 and 7 is 3.
- The difference between 7 and 25 is 18.
- The difference between 25 and 10 is -15.
- Let x be the missing term.
- The difference between x and 10 is 10-x.
- The difference between 20 and x is 20-x.
- The difference between 16 and 20 is 4.
- The difference between 19 and 16 is -3.
Based on these observations, we can form an equation:
3, 18, -15, 10-x, 20-x, 4, -3
The differences alternate between positive and negative values. So, the missing term must be a positive value to continue the pattern.
Solution:
Let's solve for x using the equation formed above.
- 3 + 18 - 15 + (10-x) + (20-x) + 4 - 3 = 0
- 17 - 2x = 0
- x = 8.5
However, the missing term must be a positive integer. So, we can round up the decimal value to the nearest integer.
- The closest integer greater than 8.5 is 9.
- Therefore, the missing term in the series is 9.
Answer: Option (a) 13 is incorrect. The correct answer is option (a) 9.
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Direction: In each of the following questions, a number series is give...
Sorry i don't know i tried but i don't understand how so sorry
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Direction: In each of the following questions, a number series is given with one missing term. Choose correct alternative that will continue the same pattern and fill in the blank spaces.4, 7, 25, 10, __, 20, 16, 19, What number should fill the blank?a)13b)15c)20d)28Correct answer is option 'A'. Can you explain this answer?
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Direction: In each of the following questions, a number series is given with one missing term. Choose correct alternative that will continue the same pattern and fill in the blank spaces.4, 7, 25, 10, __, 20, 16, 19, What number should fill the blank?a)13b)15c)20d)28Correct answer is option 'A'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Direction: In each of the following questions, a number series is given with one missing term. Choose correct alternative that will continue the same pattern and fill in the blank spaces.4, 7, 25, 10, __, 20, 16, 19, What number should fill the blank?a)13b)15c)20d)28Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In each of the following questions, a number series is given with one missing term. Choose correct alternative that will continue the same pattern and fill in the blank spaces.4, 7, 25, 10, __, 20, 16, 19, What number should fill the blank?a)13b)15c)20d)28Correct answer is option 'A'. Can you explain this answer?.
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