## Clock and calender

#### Clock and calender

1. Reaching the place of meeting on Tuesday 15 min before 8:30 h, Anuj found himself half an hour earlier than the man who was 40 min late. What was the scheduled time of the meeting ?

1. Anuj reached the place of meeting at 8:15 h, he reached 30 min earlier than the man who was 40 min late.

##### Correct Option: B

Anuj reached the place of meeting at 8:15 h, he reached 30 min earlier than the man who was 40 min late, Hence, the scheduled time of the meeting was 8:05 h.

1. A clock buzzes 1 time at 1 O'clock, 2 time at 2 O'clock, 3 times at 3 O'clock and so on. What will be the total number of buzzes in a day?

1. Number of buzzes in a day
(1+2+3+4+5+6+7+8+9+10+11+12)x2

##### Correct Option: B

Number of buzzes in a day
= 12(12 + 1)/2 x 2 = 156

1. How many times are the hands of a clock is at right angle in a day?

1. In 12 h, they are at a right angles, 22 times.
So, in 24 h, they are at right angles, 44 times.

##### Correct Option: C

In 12 h, they are at a right angles, 22 times.
So, in 24 h, they are at right angles, 44 times.

1. How many times do the hands of a clock coincide in a day?

1. From the properties of the clock, we know that hands of a clock coincide once in every hour but between 11 O'clock and 1 O'clock, they coincide only once. Therefore, the hands of a clock coincide 11 time in every 12 h.

##### Correct Option: B

From the properties of the clock, we know that hands of a clock coincide once in every hour but between 11 O'clock and 1 O'clock, they coincide only once. Therefore, the hands of a clock coincide 11 time in every 12 h.
Hence, they will coincide (11 x 2) = 22 times in 24 h.
89 h of this clock = 90 h of correct clock
Therefore, it is clear that in 89 h this clock losses 1 h and hence, the correct time is 11 : 00 pm when this clock shown 10 : 00 pm.

1. How many times do the hands of a clock points towards each other in a day?

1. The hands of a clock point towards each other 11 times in every 12 h (because between 5 and 7, they point towards each other only once at 6 O'clock).

##### Correct Option: D

The hands of a clock point towards each other 11 times in every 12 h (because between 5 and 7, they point towards each other only once at 6 O'clock).
Therefore, in a day, the hands points 22 times in all, towards each other.