Problem: Five boys a b c d and e are sitting in a row.A is to the right of B and E is to the left of B but to the right of C. A is to the left of D who is second from the left end?

Solution:

To solve the given problem, we need to arrange the boys in a row based on the given conditions. Let's follow these steps:

1. Identify the given information:

- A is to the right of B.
- E is to the left of B but to the right of C.
- A is to the left of D who is second from the left end.

2. Draw a rough diagram to represent the given information:

- Let's assume that the boys are sitting from left to right.
- We can represent the positions of the boys as follows:

D _ _ _ _

- D is second from the left end, which means there are four boys to his right.
- We can represent the positions of the four boys to the right of D as follows:

D _ _ _ _
C _ _ _ _
E _ _ _ _
B _ _ _ _
A _ _ _ _

3. Interpret the diagram based on the given conditions:

- A is to the right of B, which means B is to the left of A. So, we can switch the positions of A and B in the diagram:

D _ _ _ _

C _ _ _ _
E _ _ _ _
B _ _ _ _
A _ _ _ _

- E is to the left of B but to the right of C, which means C is between E and B. So, we can switch the positions of C and E in the diagram:

D _ _ _ _

E _ _ _ _
C _ _ _ _
B _ _ _ _
A _ _ _ _

4. Finalize the arrangement:

- We have arranged the boys in the row based on the given conditions.
- The final arrangement is as follows:

D _ _ _ _

E _ _ _ _
C _ _ _ _
B _ _ _ _
A _ _ _ _

- Therefore, A is to the left of D who is second from the left end.

Conclusion:

In conclusion, we have solved the given problem by arranging the boys in a row based on the given conditions and interpreting the diagram to get the final arrangement. We have also shown that A is to the left of D who is second from the left end.

E