Clocks Test

Result

Clocks Test - 1

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Weekly Quiz Competition

Question 1
3 / -1

The reflex angle between the hands of a clock at 10.25 is:

A
180⁰

B

C
195⁰

D

Solution

Angle traced by hour hand in 125/12 hrs =
Angle traced by minute hand in 25 min =
∴ Reflex angle = 360⁰ -
Question 2
3 / -1

How many times in a day, the hands of a clock are straight?

A
22

B
24

C
44

D
48

Solution

In 12 hours, the hands coincide or are in opposite direction 22 times.
∴ In 24 hours, the hands coincide or are in opposite direction 44 times a day.
Question 3
3 / -1

A clock is started at noom. By 10 mimutes past 5, the hour hand has turned through:

A
145⁰

B
150⁰

C
155⁰

D
160⁰

Solution

Angle traced by hour hand in 12 hrs = 360º.
Angle traced by hour hand in 5 hrs 10 min. i.e., 31/6 hrs
= (360/12)*(31/6)°
= 155º
Question 4
3 / -1

At what time between 5.30 and 6 will the hands of a clock be at right angles?

A

B

C
40 min. past 5

D
45 min. past 5

Solution

At 5 o'clock, the hands are 25 min. spaces apart.
To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.
55 min. spaces are gained in 60 min.
40 min. spaces are gained in
∴ Required time = min. past 5.
Question 5
3 / -1

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

A

B
4 p.m.

C

D

Solution

Time from 7 a.m. to 4.15 p.m. = 9 hours 15 min = 37/4 hours
3 min 5 sec of this clock = 3 min. of the correct clock.
⇒ 37/720 hours of this clock = 1/20 hours of the correct clock
⇒ 37 hours of this clock = (1/20 x 720/37 x 37/4) hours of the correct clock.
= 9 hours of the correct clock.
∴ The correct time is 9 hours after 7 a.m. i.e., 4 p.m
Question 6
3 / -1

A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?

A
2 p.m. on Tuesday

B
2 p.m on Wednesday

C
3 p.m on Thursday

D
1 p.m. on Friday

Solution

Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours = 170 hours.
∴ The watch gains in 170 hrs.
Now, 34/5 min. are gained in 170 hrs.
∴ 2 min. are gained in
Watch is correct 2 days 2 hrs. after 12 p.m. on Monday i.e., it will be correct at 2 p.m. on Wednesday.
Question 7
3 / -1

At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?

A
5 min. past 7

B

C

D

Solution

When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.
At 7 o'clock, they are 25 min. spaces apart.
Minute hand will have to gain only 5 min. spaces.
55 min. spaces are gained in 60 min.
5 min. spaces are gained in
∴ Required time = min. past 7.
Question 8
3 / -1

At what angle the hands of a clock are inclined at 15 minutes past 5?

A

B
64⁰

C

D

Solution

15 past 5 means quarter past 5 = (5:15)
⇒ (11*15 - 60*5)/2 = 67.5
Question 9
3 / -1

A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?

A
2 p.m. on Tuesday

B
2 p.m. on Wednesday

C
3 p.m. on Thursday

D
1 p.m. on Friday

Solution

Time from Monday noon (12 o' clock) to following Monday 2 pm = 7 day 2 hours
= 7×24+2
= 168+2
= 170 hours
Total time gained Monday noon (12 o' clock) to following Monday 2 pm = 2 min + 4 min 48 sec

The given watch gains 34/5 mins in 170 hours
Given that the said watch was 2 minutes low at Monday noon. Hence when it gained 2 minutes, the time was correct.
The given watch gains 34/5 mins in 170 hours
⇒ The given watch gains 2 mins in
= 5 * 5 * 2 hours = 50 hours
Hence the time was correct after 50 hours from Monday noon = after 2 days 2 hours from Monday noon = 2 pm on Wednesday
Question 10
3 / -1

The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

A
0⁰

B
10⁰

C
5⁰

D
20⁰

Solution

The angle between hour and minute hand in 4:20 is 10 degrees.
For a minute, the hour hand rotates by 30/60 = 1/2 degrees.
hence, for 20 minutes it rotates by an angle of 20*1/2 = 10 degrees.