Match List-I with List-II for a correct clock.
| List-I | List-II |
| (A) Angle the minute hand gains on the hour hand in 20 minutes | (I) 130° |
| (B) Angle the hour hand turns from 12 noon to 5:40 p.m. | (II) 150° |
| (C) Angle the minute hand turns in 25 minutes | (III) 110° |
| (D) Angle the hour hand turns in 4 hours 20 minutes | (IV) 170° |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (A)-(III), (B)-(IV), (C)-(II), (D)-(I)
The minute hand turns 6° a minute, the hour hand 0.5° a minute (30° an hour), so the minute hand gains 5.5° a minute on the hour hand.
(A) Angle the minute hand gains on the hour hand in 20 minutes — this matches (III) 110°.
\(20\times5.5^\circ=110^\circ\)
(B) Angle the hour hand turns from 12 noon to 5:40 p.m. — this matches (IV) 170°.
12 noon to 5:40 p.m. \(=5\times60+40=340\) minutes
\(340\times0.5^\circ=170^\circ\)
(C) Angle the minute hand turns in 25 minutes — this matches (II) 150°.
\(25\times6^\circ=150^\circ\)
(D) Angle the hour hand turns in 4 hours 20 minutes — this matches (I) 130°.
\(4\times30^\circ+20\times0.5^\circ=120^\circ+10^\circ=130^\circ\)