The GATE Grind

GATE 2023 CY – Question 3

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 1 mark · Multiple choice

What is the smallest number with distinct digits whose digits add up to 45?

  1. 123555789
  2. 123457869
  3. 123456789
  4. 99999

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (C) 123456789

Explanation

The nine nonzero digits 1 through 9 sum to 45. Omitting any of them lowers the sum, and adding 0 would require an extra digit and produce a larger positive integer. Arrange 1–9 in ascending order to minimize the value:**123456789, C**.