(6 : 30 + 19 : 50), in 24 hours clock is :

The correct answer is Option (1) → 2 : 20

A 24-hour clock works in modulo 24 for the hours, and 60 minutes make one hour.

Adding the minutes:

    \(30 + 50 = 80 \text{ minutes} = 1 \text{ hour } 20 \text{ minutes}\)

Adding the hours, with the extra hour carried:

    \(6 + 19 + 1 = 26 \text{ hours}\)

    \(26 \equiv 2 \pmod{24}\)

So the clock shows 2 : 20.

Why the other options are incorrect

• Option (2) 1 : 80 — Incorrect. 80 minutes is not a valid clock reading; it must be written as 1 hour 20 minutes.

• Option (3) 14 : 20 — Incorrect. The total is 26 hours 20 minutes, which is 2 : 20 on the clock, not 14 : 20.

• Option (4) 13 : 80 — Incorrect. The minutes are not carried over into hours, and 80 minutes is not a valid reading.