At what angle the hour hand and minute hand of a clock are inclined at 15 minutes past 5? Option 1: 581/2° Option 2: 64° Option 3: 671/2° Option 4: 721/2°

Answer: 671/2°. Solution: Angle =, 30H - 11M/2, where H=5, M=15. =, 30 x 5 - 11 x 15/2, =, 150 - 82.5, = 67.5°, i.e. 671/2°.

Logical Reasoning

Clocks & Calendar

Medium

At what angle the hour hand and minute hand of a clock are inclined at 15 minutes past 5?

$58\frac{1}{2}°$

$64°$

$67\frac{1}{2}°$

$72\frac{1}{2}°$

✅ Correct Option: 3

Angle $= |30H - 11M/2|$ where $H=5$ , $M=15$ .

$= |30 \times 5 - 11 \times 15/2| = |150 - 82.5| = 67.5°$ , i.e. $67\frac{1}{2}°$ .

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Match List-I with List-II

List I	List II
(Time)	(Angle between the hour hand and minute hand of a clock)
(A) 2:20 p.m.	(I) $35^{\circ}$
(B) 3:10 p.m.	(II) $40^{\circ}$
(C) 5:30 p.m.	(III) $50^{\circ}$
(D) 6:40 p.m	(IV) $15^{\circ}$

Choose the correct answer from the options given below:

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