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
The correct answer is Option (4) → A, C, B, D, E
In one minute the minute hand turns 6° and the hour hand 0.5°. At H hours M minutes the hour hand is at \(30H+0.5M\) degrees from 12 and the minute hand at \(6M\), so the angle between them is \(|30H-5.5M|\) (taken as \(360^\circ\) minus this when it is more than 180°).
A. 6:33 — \(|180-181.5|=1.5^\circ\)
B. 1:10 — \(|30-55|=25^\circ\)
C. 3:15 — \(|90-82.5|=7.5^\circ\)
D. 12:05 — \(|0-27.5|=27.5^\circ\)
E. 5:05 — \(|150-27.5|=122.5^\circ\)
From the smallest angle to the largest: 1.5° (A), 7.5° (C), 25° (B), 27.5° (D), 122.5° (E).
Note: NTA dropped this question in its Final Answer Key. The original NTA paper printed Option (4) as A, C, D, E, B, and none of the four printed orders was the correct one, A, C, B, D, E. For the benefit of students and to ensure a single answer, Option (4) has been changed to A, C, B, D, E.