Step-by-step Solution:

Given five integers A, B, C, D, E with conditions:

• A is the least, D is the greatest.
• B is greater than E but less than C.
• Integers in ascending order: A, E, B, C, D.
• Difference between adjacent integers is 8.
• Sum of all integers equals E.

Expressing in terms of A:

• E = A + 8
• B = E + 8 = A + 16
• C = B + 8 = A + 24
• D = C + 8 = A + 32

Sum condition: A + E + B + C + D = E

Substitute: A + (A+8) + (A+16) + (A+24) + (A+32) = A+8

Simplify: 5A + 80 = A + 8

4A = -72, so A = -18

Then D = A + 32 = -18 + 32 = 14

Thus, the greatest number is 14.

Answer: (A) 14