Consider a group comprising of 4 students- A, B, C and D, who along with other students stand in a row. A and B stand in sixth and seventh positions, respectively from the left. C and D stand in the fourth and fifth positions, respectively from the right. When B and C exchange their positions, then B will be 15th from the left.
With reference to the information given above, which of the following statements are correct?
(A) D's position from the left is 16th.
(B) A's position from the right is 13th.
(C) C's position from the right is 12th, after exchange.
(D) If A and D also exchange their positions between themselves, then D's position from the left is 6th.
Choose the correct answer from the options given below:
Consider a group comprising of 4 students- A, B, C and D, who along with other students stand in a row. A and B stand in sixth and seventh positions, respectively from the left. C and D stand in the fourth and fifth positions, respectively from the right. When B and C exchange their positions, then B will be 15th from the left.
With reference to the information given above, which of the following statements are correct?
(A) D's position from the left is 16th.
(B) A's position from the right is 13th.
(C) C's position from the right is 12th, after exchange.
(D) If A and D also exchange their positions between themselves, then D's position from the left is 6th.
Choose the correct answer from the options given below:
Solution
Looking at the given information:
- A is 6th from the left
- B is 7th from the left
- C is 4th from the right
- D is 5th from the right
- When B and C exchange positions, B becomes 15th from the left
When B and C exchange, B moves to C's original position and becomes 15th from the left.
Therefore, C's original position from the left is 15.
Using the relationship: Position from left + Position from right - 1 = Total students
Total number of students = 18
Finding all positions:
A: 6th from left → Position from right =
B: 7th from left → Position from right =
C: 4th from right → Position from left =
D: 5th from right → Position from left =
Checking statement (A): D's position from the left is 16th.
D is at 14th position from the left.
Statement (A) is FALSE.
Checking statement (B): A's position from the right is 13th.
A's position from the right = 13.
Statement (B) is TRUE.
Checking statement (C): C's position from the right is 12th, after exchange.
After exchange, C moves to B's original position (7th from the left).
C's new position from right =
Statement (C) is TRUE.
Checking statement (D): If A and D also exchange, then D's position from the left is 6th.
After exchange, D moves to A's original position (6th from the left).
Statement (D) is TRUE.
Statements (B), (C), and (D) are correct.
The answer is Option 4.
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