Arrange the angles between minute hand and hour hand of a clock in increasing order, for given times.
A. 06:33 pm
B. 01:10 pm
C. 03:15 pm
D. 12:05 pm
E. 05:05 pm
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
We know that,
Angle = [ 30H - \(\frac{11}{2}\)M ]
A. 06:33 pm
= [ 30 x 6 - \(\frac{11}{2}\) x 33 ]
= [ 180 - 181.5 ]
= 1.5º
B. 01:10 pm
= [ 30 x 1 - \(\frac{11}{2}\) x 10 ]
= [ 30 - 55 ]
= 25º
C. 03:15 pm
= [ 30 x 3 - \(\frac{11}{2}\) x 15 ]
= [ 90 - 82.5 ]
= 7.5º
D. 12:05 pm = 00:05pm
= [ 30 x 0 - \(\frac{11}{2}\) x 5 ]
= [0 - 27.5 ]
= 27.5º
E. 05:05 pm
= [ 30 x 5 - \(\frac{11}{2}\) x 5 ]
= [ 150 - 27.5 ]
= 122.5º
Increasing order is :- A , C, B, D, E