Question

At 3'o Clock, if Hour hand of an ordinary clock points towards West, then determine that in which direction will the minute hand point at 7.45 p.m. of the same clock? 

• a) North
• b) South-East
• c) South-West
• d) East
• e) North-West

Hint:

First determine how the clock is rotated by comparing the given hour hand position to its normal position. Then apply the same rotation to the required time.

Answer 1

The Correct Option is A

Step 1: Normally at 3:00, the hour hand points at 3 (East if 12 is North, but here given hour hand points West). So the clock is rotated 180° from normal orientation.
Step 2: Normally at 3:00, hour hand points East. Given it points West, the entire clock is rotated 180°. So directions are opposite: 12 is South, 3 is West, 6 is North, 9 is East.
Step 3: At 7:45, in a normal clock, the minute hand points at 9 (45 minutes = 9 on the clock). In normal orientation, 9 points West. But since the clock is rotated 180°, West becomes East? Let's do systematically:
Step 4: Normal clock: 12 = North, 3 = East, 6 = South, 9 = West. Given clock: hour hand at 3 points West, so the entire clock is rotated 90°? Actually if at 3:00 hour hand points West, that means the clock is rotated such that 3 is at West. So: - 12 is at North? Let's map: Normally 3 = East, now 3 = West (180° rotation). So 12 (normally North) now points South. 6 (normally South) now points North. 9 (normally West) now points East.
Step 5: At 7:45, minute hand points at 9 on the clock face. In the given orientation, 9 points East. So minute hand points East.
Step 6: But the optionss include East as an options. Let's double-check: If the clock is rotated 180°, then 9 (normally West) becomes East. So at 7:45, minute hand at 9 points East.
Step 7: Final Answer: East.