CRE 3 - Miscellaneous

The time shown in the reflection of clock + Actual time = 12 hours

⇒ 4 : 45 + Actual time = 12 hours

⇒ Actual time = 12 - 4:45

⇒ Actual time = 8:15

Hence, option (b).

At 6:15 the minute hand points towards the number 3. Since number 3 is towards south it means that the clock is rotated 90° clockwise from its normal position.

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At 9 O'clock, normally the hour hand points towards west (i.e., at 9). But in the rotated position it will face towards north.

Hence, option (a).

The faulty clock gains 10 minutes every 24 hours.
⇒ The faulty clock gains 5 minutes every 12 hours.
⇒ Faculty clock covers 725 minutes for every 720 minutes covered by actual clock

⇒ $\frac{\mathrm{Time} \mathrm{covered} \mathrm{by} \mathrm{faulty} \mathrm{clock}}{\mathrm{Actual} \mathrm{time} \mathrm{covered}}$ = $\frac{725}{720}$ = $\frac{145}{144}$

From 6 a.m. till 2 p.m. next day, the faulty clock covers 20 hours

⇒ $\frac{\mathrm{Time} \mathrm{covered} \mathrm{by} \mathrm{faulty} \mathrm{clock}}{\mathrm{Actual} \mathrm{time} \mathrm{covered}}$ = $\frac{145}{144}$

⇒ $\frac{{\displaystyle 32}}{\mathrm{Actual} \mathrm{time} \mathrm{covered}}$ = $\frac{145}{144}$

⇒ Actual time covered = $32\times \frac{144}{145}$ = 31 hours 47 minutes.

∴ Actual time is 31 hours and 47 minutes after 6 am. i.e., 1:47 p.m.

Hence, option (d).