Logical Reasoning Question on Direction and Distance

Question

A clock is place in such a manner that at 12 o' clock, its minute-hand points towards north-east. In which direction does its hour-hand point at 1 : 30 pm

Answer 1

Solution

Clock Positioning : At 12:00, the minute hand points to the northeast.
Understanding Directions: North-East corresponds to 45 degrees on a clock. Since the clock is positioned with the minute hand at the northeast, we can map the other directions accordingly: North would be 0 degrees, East would be 90 degrees, South would be 180 degrees, West would be 270 degrees,
Hour Hand Movement : Each hour on a clock represents 30 degrees (360 degrees divided by 12 hours). At 1:00, the hour hand would point at 1, which is 30 degrees clockwise from the 12 (which is at northeast). From 1:00 to 1:30, the hour hand moves an additional half of the 30 degrees (15 degrees) since it moves continuously.
Calculating the Final Direction : Starting from 45 degrees (northeast): Move to 30 degrees (for 1:00) = 45 + 30 = 75 degrees. Move an additional 15 degrees for 1:30 = 75 + 15 = 90 degrees.
Final Direction: At 90 degrees, the hour hand points East.The correct option is (D): East