This document contains information about clocks and time calculations: - It discusses the number of times in a day that clock hands coincide (22 times), are in a straight line (44 times), and are at right angles (44 times). - It provides the formula to calculate the angle between the hour and minute hand: θ = (11/2)m - 30h. - It asks calculation questions about determining times when the hands are at specific positions, such as coinciding or at right angles, between certain hours. - Additional questions calculate the true time accounting for a clock that gains or loses minutes each day. - The last question determines what day of the week April 15, 2019

1. CLOCKS

3. Number of time in a day, the hands
of the clock coincide

4. Number of time in a day, the
hands of the clock coincide = 22
(once in 1 hour)

5. Number of times in a day, the
hands of a clock are in straight
line

6. Number of times in a day, the hands of a clock are
in straight line = 44 (2times in 1hr
* 1 Coincidence
*1 Straight Line
Totally 2 times in 1hr)

7. Number of times in a day, the
hands of a clock are in right
angles

8. Number of times in a day, the
hands of a clock are in right
angles = 44 (2 times in 1 hour)

9. To find the angle between hours &
Minutes (or) between minute hand &
hour hand,
θ = (11/2) m – 30h

10. 1.what is the angle between the
hour hand and the minute hand
when the time is 4.20?

12. Find the time at which the hands
of a clock are at right angles
between 4 and 5'o clock?

14. 3. Find the time at which the
hands of a clock are be
together between 2 and 3’o
clock?

16. 4. Find the time at which the
hands of a clock are be in the
same straight line but not
together between 8 and 9'o
clock?

18. 6.A clk is set right at 5 am. The clk
gains 16 min in 24 hrs. What will be
the true time when the clk indicates
10 pm on 4th day?

20. 7.A clk is set right 8 am. The clk
loses 10 min in 24hrs. What will
be the true time when the clk
indicates 1 pm on the following
day?

22. 8.How many times in a day, are the hands
of a clock in straight line but opposite in
direction?
9. How many times do the hands of a
clock coincide in a day?

23. 10. How many times do the hands of a
clock at right angle in a day?
11. How many times in a day, the
hands of a clock are straight?

25. 12. A clock loses 1% time during the first
week and then gains 2% time during the next
one week. If the clock was set right at 12 noon
on a Sunday, what will be the time shown by
the clock exactly 14 days from the time it was
set right?

27. 13. An accurate clock shows 8 o'clock in
the morning. Through how may degrees
will the hour hand rotate when the clock
shows 2 o'clock in the afternoon?

29. 15. Two clocks show the same time at 4
pm. The first clock loses 10 min every 2
hour and the second gains 10 min every 2
hour. When will they both show the same
time again?

31. What will be the day
of the week 15th
April, 2019?

32. Monday

33. Today is Monday.
70th days, it will be

34. Sunday