Clock Reasoning Questions with Answers

Q-46. At what time between 5:00 to 6:00 o’clock both hands of the clock from the right angle for the first time?
a) 10 min Past 5
b) $10\frac{10}{11}$ min past 5
c) 15 min past 5
d) $13\frac{5}{11}$ min past 5

View Answer and Solution 

Answer: (b) 
Solution:
Two right angles formed in one hour.

At 5 o'clock,  the hands are 25 min  are space apart. To from right angle for the  first time between 5:00 to 6:00 , The minute hand has to gain
(25-15)= 10 min.
Space as in 1 min= $\frac{12}{11}$ min gain.
Therefore in 10 min
= $\frac{12}{11}\times10$
= $13\frac{10}{11}$ min
Hence required time
= $10\frac{10}{11}$ min am past 5.
 
 

Q-47. The reflex angle between the hands of a clock at 10:25 is ?
a) $192\frac{1}{2}$⁰
b) 180⁰
c) $197\frac{1}{2}$⁰
d) 195⁰

View Answer and Solution 

Answer: (c) 
Solution:
At 10:25 min, Hand will be at 5  addAnd the hour hand will be some forward from 10 to 5min space = 25 min
If 1 min = 60
Therefore 25 min = 1500
The distance covered by hour hand in one minute
= $\frac{1}{2}$0

Therefore in 25 min.
=  $25\times\frac{1}{2}$
=12.5
Angle between the both hand
= 1500 +  12.50 = 162.50
Reflex angle = 3600 - 162.50
= 197.50
 
 

Q-48. The angle between the minute hand and hour hand of a clock when the time is 4:20 is :

a) 0⁰
b) 10⁰
c) 5⁰
d) 20⁰

View Answer and Solution 

Answer: (b) 
Solution:
Angle traced by hour and in $\frac{13}{3}$
=$\frac{360}{12}\times\frac{13}{3}$ = 1300
Angle traced by min hand in 20 min.
=$\frac{360}{12}\times20$= 1200
Required angle = 1300 - 1200 = 100
 
 

Q-49. At what angle the hands of a clock are inclined at 15 minutes past 5?
a) $58\frac{1}{2}$⁰
b) 64⁰
c) $67\frac{1}{2}$⁰
d)36⁰

View Answer and Solution 

Answer: (c) 
Solution:
Angle trace by hour hand in $\frac{21}{4}$
=  $\frac{360}{12}\times\frac{21}{4}$0
= $157\frac{1}{2}$0
Angle traced by minute hand in 15 min
=$\frac{360}{60}\times15$=900
Required angle
=$157\frac{1}{2}- 90$0
= $67\frac{1}{2}$0
 
 

Q-50. At 3:40, The hour hand and the minute hand of a clock from an angle of:
a) 120⁰
b) 125⁰
c) 130⁰
d) 135⁰

View Answer and Solution 

Answer: (c) 
Solution:
m=4 0, h=3
$\theta=\frac{11m}{2}-30\times3$
= 220 - 90 = 1300
 
 

Q-51. The angle between the minute hand and the hour hand of a clock when the time is 8:30, is:
a)  80⁰
b) 75⁰
c) 60⁰
d) 105⁰

View Answer and Solution 

Answer: (b) 
Solution:
Angle traced by hour hand in$\frac{17}{2}$ hrs
=$\frac{36}{12}\times\frac{17}{2}$ = 2550
Angle traced by minute hand in 30 minute
=$\frac{360}{60}\times30$ = 1800
Required angle
= (255-180)0=750
 
 

Conclusion

As you read about the Clock Reasoning Questions and Answers, The questions covered in this post which is based on the questions have been already asked in the government competitive exam, this is an easy topic of reasoning which helps to score marks very easily. If you have any kind of doubt regarding to the answer of any question, then you can tell us through comment.