**Puzzle 1:** How many times do the hands of a clock coincide in a day?

A.) 20 B.) 21

C.) 22 D.) 24

**Answer:** Option ‘C’

**Explanation: **The hands of a clock coincide 11 times in every 12 hours

(Since between 11 and 1, they coincide only once, i.e. at 12 o’clock).

==> The hands coincide 22 times in a day.

**Puzzle 2:** How many times are the hands of a clock at right angles in a day?

A.) 22 B.) 44

C.) 38 D.) 48

**Answer:** Option ‘B’

**Explanation: **In 12 hours, they are at right angles 22 times.

==> In 24 hours, they are at right angles 44 times.

**Puzzle 3:** How much does a watch lose per day, if its hands coincide every 64 minutes?

A.) 32 8/11min B.) 36 5/11min

C.) 90min D.) 96min

**Answer:** Option ‘A’

**Explanation: **55 min. spaces are covered in 60 min.

60 min spaces are covered in (60/55 * 60) min = 65 5/11 min

Loss in 64 min = (65 5/11- 64) = 16/11 min

Loss in 24 hrs = (16/11 * 1/64 * 24 * 60) min

= 32 8/11 min

**Puzzle 4:** How many times in a day the hands of a clock are straight?

A.) 22 B.) 21

C.) 43 D.) 44

**Answer:** Option ‘D’

**Explanation: **In 12 hours, the hands coincide or are in opposite direction 22 times.

In 24 hours, they are at right angles 22 times.

**Puzzle 5:** At what time between 4 & 5 will the hands of a watch point in opposite directions?

A.) 43 min past 4 B.) 42 5/11 min past 4

C.) 50 4/11 min past 4 D.) 40 min past 4

**Answer:** Option ‘C’

**Explanation:** At 4 o’clock, the hands of the watch are 20 min. spaces apart.

To be in opposite directions, they must be 30min. spaces apart.

Minute hand will have to gain 5 min. spaces.

55min spaces are gained in 60 min.

5 min. spaces are gained in (60/55 * 50) min. or 54 6/11 min.

Required time = 54 6/11 min. past 4.