Question

At what time between 3 and 4 o'clock will the hands of a watch point in opposite directions?
1. \(49\dfrac{1}{11}\) minutes past 3
2. 50 minutes past 3
3. \(49\dfrac{5}{11}\) minutes past 3
4. \(49\dfrac{10}{11}\) minutes past 3
5.

Answer 1

Correct Answer - Option 1 : \(49\dfrac{1}{11}\) minutes past 3

In the given question,

The formula followed is,

Angle = 30*H - 11/2*M

Where H = 3 as the hour hand is between 3 and 4

Also, Angle = 180 for the hands to be opposite.

Now, 

30*3–11/2M=-180

-11/2M = -180–90

11/2M = 270 

M= 540/11 = 49 1/11

Time: 49 1/11 minute past 3

Therefore, Option 1 is the correct answer.