Consider the following addition : A B C 9 + C A B 8 B B 2 9 2 C where A, B and C represent three different digits from 0 to 9. Which of the following two inequalities is/are correct ? I. A+B–C7 II.…

Question

Consider the following addition : A B C 9 + C A B 8 B B 2 9 2 C where A, B and C represent three different digits from 0 to 9. Which of the following two inequalities is/are correct ? I. A+B–C7 II. 2A – 3B < 4C

PYQPulse · Accepted Answer

Both I and II are correct.

PYQPulse · Answer

Explanation: Solving ABC9 + CAB8B = B292C gives A = 6, B = 4, C = 3 (6439 + 36484 = 42923); then A + B − C = 7 ≤ 7 (I true) and 2A − 3B = 0 < 4C = 12 (II true).

Consider the following addition : A B C 9 + C A B 8 B B 2 9 2 C where A, B and C represent three different digits from 0 to 9. Which of the following two inequalities is/are correct ? I. A+B–C7 II. 2A – 3B < 4C

Answer: C. Both I and II are correct.

Explanation