Among five children A, B, C, D and E, B is taller than E but shorter than D. A is shorter than C but taller than D. If all the children stand in a line according to their heights, then who would be the fourth if counted from the tallest one?
Explanation
Step 1: Breakdown the given conditions
-
B is taller than E but shorter than D: This gives us the relationship: D > B > E
-
A is shorter than C but taller than D: This gives us the relationship: C > A > D
Step 2: Combine the relationships
Now, we connect both equations using the common child, D:
-
From (2), we have C > A > D
-
From (1), we know D is taller than B and E (D > B > E)
Combining them into one single sequence from tallest to shortest:
C > A > D > B > E
Step 3: Identify the positions
Counting from the tallest (left to right):
-
1st: C (Tallest)
-
2nd: A
-
3rd: D
-
4th: B
-
5th: E (Shortest)
The person at the fourth position from the tallest is B.
Correct Option:
** (c) B**
Explanation
Step 1: Breakdown the given conditions
-
B is taller than E but shorter than D: This gives us the relationship: D > B > E
-
A is shorter than C but taller than D: This gives us the relationship: C > A > D
Step 2: Combine the relationships
Now, we connect both equations using the common child, D:
-
From (2), we have C > A > D
-
From (1), we know D is taller than B and E (D > B > E)
Combining them into one single sequence from tallest to shortest:
C > A > D > B > E
Step 3: Identify the positions
Counting from the tallest (left to right):
-
1st: C (Tallest)
-
2nd: A
-
3rd: D
-
4th: B
-
5th: E (Shortest)
The person at the fourth position from the tallest is B.
Correct Option:
** (c) B**
