Question

At what time between 3 O'Clock and 4 O'Clock the two hands of clock are opposite to each other?
1. \(3:36{3\over11}\)
2. \(3:38{7\over 11}\)
3. \(3:49{2\over 11}\)
4. \(3:49{1\over 11}\)

Answer 1

Correct Answer - Option 4 : \(3:49{1\over 11}\)

The logic follows here is :-

The time between 3 O'Clock and 4 O'Clock when two hands of clock are together is :

Time = \({2\over 11}(30x \pm θ)\)

Where x = starting time and θ = angle of hands

Here x= 3 and θ = 1800

Therefore, Time = \({2\over 11}(30 \times 3 \pm 180^0)\) = \({2\over 11}(270)\) = \({540\over 11}\) = \(49{1\over 11}\)

Time when two hands of clock are together is 3:\(49{1\over 11}\)

Thus, the correct answer is 3:\(49{1\over11}\).