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In a queue of 10 persons, A is standing on 7th from front and B is standing 6th from back 3 persons intered the queue distrupting the positions of A and B. Find the pair of numbers indicating minimum possible distrupting in their position from the front ?
- a)6,10
- b)2,9
- c)7,10
- d)7,9
Correct answer is option 'D'. Can you explain this answer?
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To solve this problem, let's break it down step by step:
Step 1: Determine the original positions of A and B
According to the problem, A is standing 7th from the front and B is standing 6th from the back. Since there are 10 people in the queue, we can count the positions from both ends to find their original positions:
- A is standing at position 7 from the front.
- B is standing at position 6 from the back.
Step 2: Calculate the minimum possible disrupting in their position from the front
Now, let's consider the situation after 3 persons enter the queue. Since we are looking for the minimum possible disruption, we want to find the scenario where A and B move the least number of positions.
To minimize the disruption from the front, we need to maximize the number of people standing behind A and minimize the number of people standing in front of B. Let's analyze the different scenarios:
- If all 3 people enter the queue in front of A, then A will move 3 positions forward.
- If 2 people enter the queue in front of A and 1 person enters behind A, then A will move 1 position forward.
- If 1 person enters the queue in front of A and 2 people enter behind A, then A will not move from its original position.
- If all 3 people enter the queue behind A, then A will move 3 positions backward.
Now, let's consider the possible scenarios for B:
- If all 3 people enter the queue behind B, then B will move 3 positions forward.
- If 2 people enter the queue behind B and 1 person enters in front of B, then B will move 1 position forward.
- If 1 person enters the queue behind B and 2 people enter in front of B, then B will not move from its original position.
- If all 3 people enter the queue in front of B, then B will move 3 positions backward.
Since we want to find the minimum possible disrupting in their positions from the front, we need to find the scenario where both A and B move the least number of positions forward. From the analysis above, it is clear that the scenario where A moves 0 positions forward and B moves 1 position forward satisfies this condition.
Therefore, the pair of numbers indicating the minimum possible disrupting in their position from the front is 7 and 9, which corresponds to option D.
Step 1: Determine the original positions of A and B
According to the problem, A is standing 7th from the front and B is standing 6th from the back. Since there are 10 people in the queue, we can count the positions from both ends to find their original positions:
- A is standing at position 7 from the front.
- B is standing at position 6 from the back.
Step 2: Calculate the minimum possible disrupting in their position from the front
Now, let's consider the situation after 3 persons enter the queue. Since we are looking for the minimum possible disruption, we want to find the scenario where A and B move the least number of positions.
To minimize the disruption from the front, we need to maximize the number of people standing behind A and minimize the number of people standing in front of B. Let's analyze the different scenarios:
- If all 3 people enter the queue in front of A, then A will move 3 positions forward.
- If 2 people enter the queue in front of A and 1 person enters behind A, then A will move 1 position forward.
- If 1 person enters the queue in front of A and 2 people enter behind A, then A will not move from its original position.
- If all 3 people enter the queue behind A, then A will move 3 positions backward.
Now, let's consider the possible scenarios for B:
- If all 3 people enter the queue behind B, then B will move 3 positions forward.
- If 2 people enter the queue behind B and 1 person enters in front of B, then B will move 1 position forward.
- If 1 person enters the queue behind B and 2 people enter in front of B, then B will not move from its original position.
- If all 3 people enter the queue in front of B, then B will move 3 positions backward.
Since we want to find the minimum possible disrupting in their positions from the front, we need to find the scenario where both A and B move the least number of positions forward. From the analysis above, it is clear that the scenario where A moves 0 positions forward and B moves 1 position forward satisfies this condition.
Therefore, the pair of numbers indicating the minimum possible disrupting in their position from the front is 7 and 9, which corresponds to option D.
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In a queue of 10 persons, A is standing on 7th from front and B is standing 6th from back 3 persons intered the queue distrupting the positions of A and B. Find the pair of numbers indicating minimum possible distrupting in their position from the front ?a)6,10b)2,9c)7,10d)7,9Correct answer is option 'D'. Can you explain this answer?
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