Problems on Clocks
Brain Teasers – Hand Out - 3
1.
Mr.Sudhakar is working as a branch manager in
a leading broking company. He wanted to meet one of his clients, and the client
gave him an appointment on Sunday between 4 p.m. and 4:30 p.m. when the angle
between the two hands is 300 first time. At what time did
Mr.Sudhakar meet his client?
a) 21
9/11 minutes past 4
b) 18
2/11 minutes past 4
c) 16
4/11 minutes past 4
d) 25
minutes past 4
2.
Sudheer started from Kakinada City between 7
a.m. and 7: 30 a.m. when both hands were perpendicular to each other. He
reached his destination Vizag city between 4 p.m. and 5 p.m. when the two hands
were together. Find his total travel time.
a) 9
hours 8
minutes b) 9
hours 4 2/11 minutes
c) 9
hours 12
minutes d)9
hours
3.
A clock in the drawing room and another clock
in the bedroom begin to strike 4 O’clock. The clock in the drawing room takes
24 seconds, and the clock in the bedroom takes 18 seconds to strike 4 O'clock.
What is the interval of time between the 7th stroke of the clock in the
drawing room and the 9th stroke of the clock in the bedroom when both
clocks strike
at 11
O'clock?
a) 0
seconds b) 2 seconds
c) 8
seconds d) 12 seconds
4.
Two clocks are showing the correct time at 9
a.m. One clock loses one minute per hour while the other gains two minutes
per hour. At 6 p.m on the same day, how much time will the two clocks
differ?
a) 27
minutes b) 30
minutes
c) 1 hour
15 minutes d) Can not be determined
5.
One-quarter of the time till now from
midnight and half of the time remaining from now up to midnight add to the
current time. What is the current time?
a) 8.30 a.m b) 9.36 a.m
c) 10.14
a.m d) 11.32 a.m
6.
In a particular time interval, the hour hand
makes the angle 1250. Then by how many degrees are the initial and final
positions of the minute hand apart?
a) 450 b) 600
c) 750 d) 900
7.
Mrs.Nirupa went shopping and bought a watch
and set the time correctly at noon on Sunday. But the watch gains 6 minutes in
the first hour and loses 4 minutes in the second hour and again gains 6 minutes
in the third hour and loses 4 minutes in the fourth hour and so on. How many
minutes will the watch lose or gain when the time on the correct watch
is 1: 30 P.M on Monday?
a) Gains
28 minutes
b) Loses
28 minutes
c) Gains
14 minutes
d) Loses
14 minutes
8.
The technician of a watch mechanic shop
repairs two watches A and B and sets their time at exactly noon. But he gives a
reverse connection to both hands of clock B. Hence, the two hands of clock B
start moving in the reverse direction. After some time, the angle between the
hour hands of two clocks is 1300, then what is the angle between the minute
hands of the two clocks at the same instant?
a) 1200 b) 1450
c) 1800 d) 950
9.
On planet X, the number of days per week is
10 days. There are 30 hours in a day and 72 minutes in an hour and 90 seconds
in each minute. Find the angle between the minute hand and the hour hand of a
clock when the time is 14:
54 a.m. on the planet.
a) 150 b) 220
c) 450 d) 840
10.
In a certain clock, the minute hand rotates
3000 every hour. Then what will be the angle between the minute hand and
hour hand of a clock at 30 minutes past 3 O’clock?
a) 8 1/30 b) 12.50
c) 18.50 d) can’t be determined
11.
Two clocks A and B, are set right
at noon on Sunday. Clock A loses 1.5 minutes in 9 hours, and clock B gains
2 minutes every 12 hours. Find the correct time when both clocks will show the
same time next.
a) 64
days b) 72 days
c) 84
days d) 90 days
Problems on Clocks - Brain Teasers
Handout 3
