Important Clock Reasoning Questions

Q-16. What angle is made by minute and hour hand at 4: 12?
(a) 66° (b) 44°
(c) 54° (d) 60.5°

View Answer and Solution 

Answer: (c) 54°
Solution:
Formula For Angle
= H x 30 = F°
M x\frac{11}{2}= y°
(subtract smaller from larger)
Hence,
H=4 , M= 12
4 x 30 = 120°
12x \frac{11}{2}=66°
120°-66°=54°
 

Q-17. What is the angle between minute and hour hand at 9:53?
(a) 121.5° (b) 21.5°
(c) 130° (d) 68.5°

View Answer and Solution 

Answer: (b) 21.5°
Solution:
Formula For Angle
= H x 30 = F°
Hence,
H=9 , M= 53
9 x 30 = 270°
53x \frac{11}{2}=291.5°
291.5°-270°=21.5°
 

Q-18. What is the angle between minute and hour hand at 12 : 46?
(a) 97° (b) 107°
(c) 153° (d) 7°

View Answer and Solution 

Answer: (b) 107°
Solution:
Formula For Angle
= H x 30 = F°
H=12 , M= 46
12 x 30 = 360°
46x \frac{11}{2} = 253°
360°-253°=107°
 

Q-19. What is the angle between minute and hour hand at 7:09?
(a) 120.5° (b) 160.5°
(c) 49.5° (d) 19.5°

View Answer and Solution 

Answer: (b) 160.5°
Solution:
Formula For Angle
= H x 30 = F°
H=7 , M= 9
7 x 30 = 210°
9x \frac{11}{2}=49.5°
210°-49.5°=160.5°
 

Q-20. What is the angle between minute and hour hand at 11:10?
(a) 265° (b) 175°
(c) 85° (d) 95°

View Answer and Solution 

Answer: (c) 85°
Solution:
Formula For Angle
= H x 30 = F°
H=11 , M= 10
11 x 30 = 330°
10x \frac{11}{2}=55°
330°-55°=275°
But 275°is more than 180° hence we subtract the angle from 360°
360° - 275° = 85°