Correct Answer - Option 2 : 3:00 p.m.

**We are going to check by option**

Clock gains 5 seconds for every 3 minutes

So, 100 seconds for every 60 minutes

Wrong clock shows time as 3:15, so in actual time will be less than 3:15

Thus option (a) and option (d) is not possible

From option (b),

Let 3:00 be the time in accurate clock

Total time duration = 9 hours

Clock gains in 9 hour = 9 × 100 seconds = 15 minutes

From option (b), we get the time 3:15.

Clock gains 5 second in 3 minutes.

Now total time = 6 a.m. to 3:15 p.m. = 9 hours 15 minutes.

⇒ 9 hours 15 minutes = 9 × 60 + 15 minutes

⇒ (540 + 15) minutes

⇒ 555 minutes

∴ Total time gained by clock

So, 3 minutes → 5 sec.

1 minutes → 5 sec\3

∴ 555 minutes → 5 sec × 555\3 = 925 sec.

⇒ 925 sec. = 15 mint. 25 sec.

So, In accurate the clock shows = **3:15 - **15 mint. 25 sec = 3:00 (25 sec)

Hence,

**3:00 p.m.** is the right time.