GATE DA 2026 Q2: Sum of digits of a three-digit number whose digit product is 70

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

Try it: multiple choice: exactly one correct option

Wrong answer costs 1/3 mark in GATE.

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Answer: B (official GATE 2026 final answer key)

Concept used: Prime factorisation with the constraint that each digit is 1 to 9.

First step: $70 = 2 \times 5 \times 7$ , and no other split into three single digits works (10, 14 and 35 are not digits).

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Source: official GATE 2026 DA question paper and final answer key, organised by IIT Guwahati. Question paper · Answer key