# Clock Puzzles 6 [With Answers]

Puzzle 1: Between 4 & 5 O’clock, the time when the hands coincide is:

A) 4 : 21 9/11            B) 4 : 24 3/11

C) 4 : 22                    D) 4 : 23 9/11

Explanation: 4 * 30 = 120 + 0 * 2/11

240/11 = 21 9/11 min

Puzzle 2: At what angle the hands of a clock are inclined at 15 minutes past 5?

A) 58 1/2 degrees            B) 64 degrees

C) 67 1/2 degrees            D) 72 1/2 degrees

Explanation: Angle traced by hour hand in 21/4 hrs = (360/12 * 21/4) degrees = 157 1/2 degrees

Angle traced by min. hand in 15 min. = (360/12 * 15) degrees = 90 degrees.

Required angle = (157 1/2) degrees – 90 degrees = 67 1/2 degrees

Puzzle 3: My watch gains 5 min every hour. How many degrees the second hand moves in every min?

A) 360 degrees            B) 390 degrees

C) 330 degrees            D) 370 degrees

Puzzle 4: A clock is set right at 5 am the clock loses 16 min in 24 hours. What will be the right time when the clock indicates 10 am? On the 4th day?

A) 10.30 pm          B) 11 pm

C) 10.45 pm          D) 11.15 pm

Explanation:  Time from 5 am. On a day to 10 pm. on 4th day = 89 hours.

Now 23 hrs 44 min. of this clock = 24 hours of correct clock

365/15 hrs of this clock = 24 hours of correct clock

89 hrs of this clock = (24 * 15/356 * 89) hrs of correct clock

= 90 hrs of correct clock.

So, the correct time is 11 pm.

Puzzle 5: When the time in the clock is 7.20, then the angle between the hands of the clock is:

A) 100 degrees            B) 120 degrees

C) 90 degrees              D) 110 degrees