A, B, C, D, and E are five different integers. When written in ascending order of values, the difference between any two adjacent integers is 8. D is the greatest, and A is the least. B is greater than E but less than C. The sum of the integers is equal to E
The greatest number is:
Given five integers A, B, C, D, E with conditions:
Expressing in terms of A:
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
Reinforce your conceptual grasp with related questions from NIMCET 2024:
Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.
Start Free Mock Test Series →