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GATE 2026 DA – Question 2

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

The product of the digits of a three-digit number is 70. The sum of the digits of this three-digit number is _____

  1. 12
  2. 14
  3. 16
  4. 18

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Correct answer: (B) 14

Explanation

Each digit is at most 9, so the three digits must be factors of 70 that multiply to 70. Since $70 = 2 \times 5 \times 7$, and no digit can be 10 or more (so 1 with 7 and 10 is not possible), the digits are 2, 5 and 7 in some order. Their sum is $2 + 5 + 7 = 14$.