# Clocks and Calendars Quiz Set 11

### Question 1

If 1st April of an ordinary, non-leap year falls on a Monday, then what will be the day of week on 1st September of that year?

A

Sunday.

B

Thursday.

C

Monday.

D

Saturday.

Soln.
Ans: a

Count the days from months between April 1 and September 1 like this: April days = 30;May days = 31;June days = 30;July days = 31;August days = 31; So total days = 153. Since 153 = 21 X 7 + 6, so excess days are 6. So we can count the day to Monday + 6 = Sunday.

.

### Question 2

Three comets appear in the sky at regular periods of 7, 14 and 21 years respectively. If a comet has passed just now, what is the minimum time that we must wait for a comet to appear in the sky?

A

7 years.

B

22 years.

C

21 years.

D

14 years.

Soln.
Ans: a

The least of the given time periods is 7. So this is the minimum waiting time.

### Question 3

Two watches, one of which gained at the rate of 1 min. and other lost at the rate of 1 min. daily, were set correctly at noon on the 1st January 1977. When did the watches indicate the same time?

A

Dec. 27, 1977 midnight

B

Dec. 26, 1977 noon

C

Dec. 25, 1977 noon

D

Dec, 27, 1977 noon

Soln.
Ans: d

The first watch gains on the second watch 1 + 1, 2 minutes in a day.
The watches will indicate the same time when the one has gained 12 hours on the other. As 2 minutes is gained in 1 day
∴ 12 hours is gained in days = 12 x 12 x 60 = 360 days
Counting 360 days from 1st Jan. 1977, we get Dec. 27, 1977.

### Question 4

An event occurs at regular intervals of 30 minutes. The last event occured 23 minutes ago The next event is due at 09::30 AM. What is the time now?

A

09::23 AM.

B

09::25 AM.

C

09::22 AM.

D

09::20 AM.

Soln.
Ans: a

The last event took place at 09::30 AM - 30 minutes, i.e., at 09::00 AM, which was 23 minutes earlier from now. So the time now is 09::00 AM + 23 mins = 09::23 AM.

### Question 5

How many degrees does a minute hand sweep in 50 minutes?

A

300°.

B

310°.

C

290°.

D

315°.

Soln.
Ans: a

In 60 mins the angle is 360°. So in 1 min it will sweep by 360/60 = 6°. Therefore in 50 mins it will sweep by 6 x 50 = 300°