Type 4: Opposite Direction (180°) / āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļ (180°)
Q. Between 8 and 9 o'clock, when will the clock hands be opposite (180° apart) ? (ā§Ž āĻŦāĻāĻžā§° āĻĒā§°āĻž ⧝ āĻŦāĻāĻžā§° āĻāĻŋāϤ⧰āϤ āĻāĻĄāĻŧā§ā§° āĻāĻžāĻāĻāĻŋāĻĻā§āĻāĻž āĻā§āϤāĻŋāϝāĻŧāĻž ā§§ā§Žā§Ļ° āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļāϤ āĻĨāĻžāĻāĻŋāĻŦ ?)
Soln
The clock hands are opposite when the angle between them is 180°. (āĻāĻĄāĻŧā§ā§° āĻāĻžāĻāĻāĻŋāĻĻā§āĻāĻž āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļāϤ āĻĨāĻžāĻāĻŋāĻŦāϞ⧠āϏāĻŋāĻšāĻāϤ⧰ āĻŽāĻžāĻā§° āĻā§āĻŖ ā§§ā§Žā§Ļ° āĻš'āĻŦ āϞāĻžāĻāĻŋāĻŦāĨ¤)
Example:
- Minute Hand → 12
- Hour Hand → 6
- Angle = 180° (Opposite Direction / āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļ)

Formula / āϏā§āϤā§ā§°: Time = [60 × (Hour ± 6)] / 11 ââ
Where / āϝ'āϤ
- Hour = Current Hour (Here 8) [āĻŦā§°ā§āϤāĻŽāĻžāύ āĻāĻŖā§āĻāĻž (āĻāϝāĻŧāĻžāϤ ā§Ž)]
- ±6 = Adjustment for 180° (Opposite Position) [ā§§ā§Žā§Ļ° (āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļ)ā§° āĻŦāĻžāĻŦā§ āϏāĻŽāύā§āĻŦāϝāĻŧ]
Soln / āϏāĻŽāĻžāϧāĻžāύ
For 8 to 9 o'clock
= 60 × (8 − 6)/11 = 60×2/11 = 120/11 = 10 10/11 min
Ans / āĻāϤā§āϤ⧰
Note: Between 8:00 and 9:00, the clock hands will be opposite at: 8:10 10/11 (ā§Ž āĻŦāĻāĻžā§° āĻĒā§°āĻž ⧝ āĻŦāĻāĻžā§° āĻāĻŋāϤ⧰āϤ, āĻāĻĄāĻŧā§ā§° āĻāĻžāĻāĻāĻŋāĻĻā§āĻāĻž ā§§ā§Žā§Ļ° āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļāϤ āĻĨāĻžāĻāĻŋāĻŦ)ââ:Approx : 8:10:54.5.
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Practice Questions – Opposite Direction (180°) [āĻ
āĻā§āϝāĻžāϏ⧰ āĻĒā§ā§°āĻļā§āύ – āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļ (180°)]
- Between 1 and 2 o'clock, when will the clock hands be opposite ? (ā§§ āĻŦāĻāĻžā§° āĻĒā§°āĻž ⧍ āĻŦāĻāĻžā§° āĻāĻŋāϤ⧰āϤ āĻāĻĄāĻŧā§ā§° āĻāĻžāĻāĻāĻŋāĻĻā§āĻāĻž āĻā§āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻāĻŋāĻŦ ?)
- Between 2 and 3 o'clock, when will the clock hands be opposite? (⧍ āĻŦāĻāĻžā§° āĻĒā§°āĻž ā§Š āĻŦāĻāĻžā§° āĻāĻŋāϤ⧰āϤ āĻāĻĄāĻŧā§ā§° āĻāĻžāĻāĻāĻŋāĻĻā§āĻāĻž āĻā§āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻāĻŋāĻŦ ?)
- Between 3 and 4 o'clock, when will the clock hands be opposite? (ā§Š āĻŦāĻāĻžā§° āĻĒā§°āĻž ā§Ē āĻŦāĻāĻžā§° āĻāĻŋāϤ⧰āϤ āĻāĻĄāĻŧā§ā§° āĻāĻžāĻāĻāĻŋāĻĻā§āĻāĻž āĻā§āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻāĻŋāĻŦ ?)
- Between 4 and 5 o'clock, when will the clock hands be opposite ? (ā§Ē āĻŦāĻāĻžā§° āĻĒā§°āĻž ā§Ģ āĻŦāĻāĻžā§° āĻāĻŋāϤ⧰āϤ āĻāĻĄāĻŧā§ā§° āĻāĻžāĻāĻāĻŋāĻĻā§āĻāĻž āĻā§āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻāĻŋāĻŦ ?)
- Between 5 and 6 o'clock, when will the clock hands be opposite? (ā§Ģ āĻŦāĻāĻžā§° āĻĒā§°āĻž ā§Ŧ āĻŦāĻāĻžā§° āĻāĻŋāϤ⧰āϤ āĻāĻĄāĻŧā§ā§° āĻāĻžāĻāĻāĻŋāĻĻā§āĻāĻž āĻā§āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻāĻŋāĻŦ ?)
- Between 6 and 7 o'clock, when will the clock hands be opposite? (ā§Ŧ āĻŦāĻāĻžā§° āĻĒā§°āĻž ā§ āĻŦāĻāĻžā§° āĻāĻŋāϤ⧰āϤ āĻāĻĄāĻŧā§ā§° āĻāĻžāĻāĻāĻŋāĻĻā§āĻāĻž āĻā§āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻāĻŋāĻŦ ?)
- Between 7 and 8 o'clock, when will the clock hands be opposite ? (ā§ āĻŦāĻāĻžā§° āĻĒā§°āĻž ā§Ž āĻŦāĻāĻžā§° āĻāĻŋāϤ⧰āϤ āĻāĻĄāĻŧā§ā§° āĻāĻžāĻāĻāĻŋāĻĻā§āĻāĻž āĻā§āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻāĻŋāĻŦ ?)
- Between 8 and 9 o'clock, when will the clock hands be opposite ? (ā§Ž āĻŦāĻāĻžā§° āĻĒā§°āĻž ⧝ āĻŦāĻāĻžā§° āĻāĻŋāϤ⧰āϤ āĻāĻĄāĻŧā§ā§° āĻāĻžāĻāĻāĻŋāĻĻā§āĻāĻž āĻā§āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻāĻŋāĻŦ ?)
- Between 9 and 10 o'clock, when will the clock hands be opposite? (⧝ āĻŦāĻāĻžā§° āĻĒā§°āĻž ā§§ā§Ļ āĻŦāĻāĻžā§° āĻāĻŋāϤ⧰āϤ āĻāĻĄāĻŧā§ā§° āĻāĻžāĻāĻāĻŋāĻĻā§āĻāĻž āĻā§āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻāĻŋāĻŦ ?)
- Between 10 and 11 o'clock, when will the clock hands be opposite? (ā§§ā§Ļ āĻŦāĻāĻžā§° āĻĒā§°āĻž ā§§ā§§ āĻŦāĻāĻžā§° āĻāĻŋāϤ⧰āϤ āĻāĻĄāĻŧā§ā§° āĻāĻžāĻāĻāĻŋāĻĻā§āĻāĻž āĻā§āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻāĻŋāĻŦ ?)
- Between 11 and 12 o'clock, when will the clock hands be opposite ? (ā§§ā§§ āĻŦāĻāĻžā§° āĻĒā§°āĻž ⧧⧍ āĻŦāĻāĻžā§° āĻāĻŋāϤ⧰āϤ āĻāĻĄāĻŧā§ā§° āĻāĻžāĻāĻāĻŋāĻĻā§āĻāĻž āĻā§āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻāĻŋāĻŦ ?)
- Between 12 and 1 o'clock, when will the clock hands be opposite ? (⧧⧍ āĻŦāĻāĻžā§° āĻĒā§°āĻž ā§§ āĻŦāĻāĻžā§° āĻāĻŋāϤ⧰āϤ āĻāĻĄāĻŧā§ā§° āĻāĻžāĻāĻāĻŋāĻĻā§āĻāĻž āĻā§āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻāĻŋāĻŦ ?)â