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:

A , C, B, D, E

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