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In a row In East-West direction, Dipika is on 11th position from West and Sudesh is on 15th position from East end. If they exchange their positions, Sudesh will be on the 9th position from the East end. How many persons are there In the row?
- a)16
- b)19
- c)20
- d)24
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In a row In East-West direction, Dipika is on 11th position from West...
Total number of persons in the row =11+9−1
=20−1=19
Hence, the correct option is (B)
Most Upvoted Answer
In a row In East-West direction, Dipika is on 11th position from West...
Given:
- Dipika is on the 11th position from the West end.
- Sudesh is on the 15th position from the East end.
- If they exchange their positions, Sudesh will be on the 9th position from the East end.
To find:
- The total number of persons in the row.
Assumption:
- The row is evenly distributed, with an equal number of persons on each side of Sudesh.
Solution:
Let's assume there are 'x' persons in the row.
Position of Dipika:
- Dipika is on the 11th position from the West end.
- The number of persons between Dipika and the East end = (x - 11).
Position of Sudesh:
- Sudesh is on the 15th position from the East end.
- The number of persons between Sudesh and the West end = (x - 15).
When they exchange positions:
- Sudesh will be on the 9th position from the East end.
- The number of persons between Sudesh and the West end = (x - 9).
Equating the positions:
Since Sudesh and Dipika have exchanged positions, the number of persons between them should remain the same.
Therefore,
(x - 11) = (x - 9)
Simplifying the equation:
x - 11 = x - 9
-11 + 9 = x - x
-2 = 0
Contradiction:
The equation -2 = 0 is a contradiction. This means our assumption that the row is evenly distributed is incorrect.
Correct Assumption:
Since Sudesh is on the 15th position from the East end and will be on the 9th position after exchanging positions, there are 6 persons between Sudesh and the West end.
Similarly, since Dipika is on the 11th position from the West end, there are 4 persons between Dipika and the East end.
Calculating the total number of persons:
The total number of persons in the row = (4 + 6 + 1) + (4 + 6)
= 11 + 10
= 21
Therefore, there are 21 persons in the row.
Conclusion:
The correct answer is option B) 19 persons.
- Dipika is on the 11th position from the West end.
- Sudesh is on the 15th position from the East end.
- If they exchange their positions, Sudesh will be on the 9th position from the East end.
To find:
- The total number of persons in the row.
Assumption:
- The row is evenly distributed, with an equal number of persons on each side of Sudesh.
Solution:
Let's assume there are 'x' persons in the row.
Position of Dipika:
- Dipika is on the 11th position from the West end.
- The number of persons between Dipika and the East end = (x - 11).
Position of Sudesh:
- Sudesh is on the 15th position from the East end.
- The number of persons between Sudesh and the West end = (x - 15).
When they exchange positions:
- Sudesh will be on the 9th position from the East end.
- The number of persons between Sudesh and the West end = (x - 9).
Equating the positions:
Since Sudesh and Dipika have exchanged positions, the number of persons between them should remain the same.
Therefore,
(x - 11) = (x - 9)
Simplifying the equation:
x - 11 = x - 9
-11 + 9 = x - x
-2 = 0
Contradiction:
The equation -2 = 0 is a contradiction. This means our assumption that the row is evenly distributed is incorrect.
Correct Assumption:
Since Sudesh is on the 15th position from the East end and will be on the 9th position after exchanging positions, there are 6 persons between Sudesh and the West end.
Similarly, since Dipika is on the 11th position from the West end, there are 4 persons between Dipika and the East end.
Calculating the total number of persons:
The total number of persons in the row = (4 + 6 + 1) + (4 + 6)
= 11 + 10
= 21
Therefore, there are 21 persons in the row.
Conclusion:
The correct answer is option B) 19 persons.
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In a row In East-West direction, Dipika is on 11th position from West and Sudesh is on 15th position from East end. If they exchange their positions, Sudesh will be on the 9th position from the East end. How many persons are there In the row?a)16b)19c)20d)24Correct answer is option 'B'. Can you explain this answer?
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In a row In East-West direction, Dipika is on 11th position from West and Sudesh is on 15th position from East end. If they exchange their positions, Sudesh will be on the 9th position from the East end. How many persons are there In the row?a)16b)19c)20d)24Correct answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about In a row In East-West direction, Dipika is on 11th position from West and Sudesh is on 15th position from East end. If they exchange their positions, Sudesh will be on the 9th position from the East end. How many persons are there In the row?a)16b)19c)20d)24Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a row In East-West direction, Dipika is on 11th position from West and Sudesh is on 15th position from East end. If they exchange their positions, Sudesh will be on the 9th position from the East end. How many persons are there In the row?a)16b)19c)20d)24Correct answer is option 'B'. Can you explain this answer?.
In a row In East-West direction, Dipika is on 11th position from West and Sudesh is on 15th position from East end. If they exchange their positions, Sudesh will be on the 9th position from the East end. How many persons are there In the row?a)16b)19c)20d)24Correct answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about In a row In East-West direction, Dipika is on 11th position from West and Sudesh is on 15th position from East end. If they exchange their positions, Sudesh will be on the 9th position from the East end. How many persons are there In the row?a)16b)19c)20d)24Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a row In East-West direction, Dipika is on 11th position from West and Sudesh is on 15th position from East end. If they exchange their positions, Sudesh will be on the 9th position from the East end. How many persons are there In the row?a)16b)19c)20d)24Correct answer is option 'B'. Can you explain this answer?.
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In a row In East-West direction, Dipika is on 11th position from West and Sudesh is on 15th position from East end. If they exchange their positions, Sudesh will be on the 9th position from the East end. How many persons are there In the row?a)16b)19c)20d)24Correct answer is option 'B'. Can you explain this answer?, a detailed solution for In a row In East-West direction, Dipika is on 11th position from West and Sudesh is on 15th position from East end. If they exchange their positions, Sudesh will be on the 9th position from the East end. How many persons are there In the row?a)16b)19c)20d)24Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of In a row In East-West direction, Dipika is on 11th position from West and Sudesh is on 15th position from East end. If they exchange their positions, Sudesh will be on the 9th position from the East end. How many persons are there In the row?a)16b)19c)20d)24Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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