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 āĻŦāϜāĻžā§° āĻĒā§°āĻž ⧝ āĻŦāϜāĻžā§° āĻ­āĻŋāϤ⧰āϤ āϘāĻĄāĻŧ⧀⧰ āĻ•āĻžāρāϟāĻŋāĻĻ⧁āϟāĻž āϕ⧇āϤāĻŋāϝāĻŧāĻž ā§§ā§Žā§Ļ° āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļāϤ āĻĨāĻžāĻ•āĻŋāĻŦ ?)


Soln


The clock hands are opposite when the angle between them is 180°. (āϘāĻĄāĻŧ⧀⧰ āĻ•āĻžāρāϟāĻŋāĻĻ⧁āϟāĻž āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļāϤ āĻĨāĻžāĻ•āĻŋāĻŦāϞ⧈ āϏāĻŋāĻšāρāϤ⧰ āĻŽāĻžāϜ⧰ āϕ⧋āĻŖ ā§§ā§Žā§Ļ° āĻš'āĻŦ āϞāĻžāĻ—āĻŋāĻŦāĨ¤)


Example:



  • Minute Hand → 12

  • Hour Hand → 6

  • Angle = 180° (Opposite Direction / āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļ)


Formula / āϏ⧂āĻ¤ā§ā§°: Time = [60 × (Hour ± 6)] / 11 


Where / āϝ'āϤ



  • Hour = Current Hour (Here 8) [āĻŦā§°ā§āϤāĻŽāĻžāύ āϘāĻŖā§āϟāĻž (āχāϝāĻŧāĻžāϤ ā§Ž)]

  • ±6 = Adjustment for 180° (Opposite Position) [ā§§ā§Žā§Ļ° (āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļ)ā§° āĻŦāĻžāĻŦ⧇ āϏāĻŽāĻ¨ā§āĻŦāϝāĻŧ]


Soln / āϏāĻŽāĻžāϧāĻžāύ


For 8 to 9 o'clock


= 60 × (8 − 6)/11 =  = 120/11 = 10 10/11 min


Ans / āωāĻ¤ā§āϤ⧰


Note: Between 8:00 and 9:00, the clock hands will be opposite at: 8:10 10/11 (ā§Ž āĻŦāϜāĻžā§° āĻĒā§°āĻž ⧝ āĻŦāϜāĻžā§° āĻ­āĻŋāϤ⧰āϤ, āϘāĻĄāĻŧ⧀⧰ āĻ•āĻžāρāϟāĻŋāĻĻ⧁āϟāĻž ā§§ā§Žā§Ļ° āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļāϤ āĻĨāĻžāĻ•āĻŋāĻŦ)Approx : 8:10:54.5.







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§§ āĻŦāϜāĻžā§° āĻĒā§°āĻž ⧍ āĻŦāϜāĻžā§° āĻ­āĻŋāϤ⧰āϤ āϘāĻĄāĻŧ⧀⧰ āĻ•āĻžāρāϟāĻŋāĻĻ⧁āϟāĻž āϕ⧇āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻ•āĻŋāĻŦ ?)

  • Between 2 and 3 o'clock, when will the clock hands be opposite? (⧍ āĻŦāϜāĻžā§° āĻĒā§°āĻž ā§Š āĻŦāϜāĻžā§° āĻ­āĻŋāϤ⧰āϤ āϘāĻĄāĻŧ⧀⧰ āĻ•āĻžāρāϟāĻŋāĻĻ⧁āϟāĻž āϕ⧇āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻ•āĻŋāĻŦ ?)

  • Between 3 and 4 o'clock, when will the clock hands be opposite? (ā§Š āĻŦāϜāĻžā§° āĻĒā§°āĻž ā§Ē āĻŦāϜāĻžā§° āĻ­āĻŋāϤ⧰āϤ āϘāĻĄāĻŧ⧀⧰ āĻ•āĻžāρāϟāĻŋāĻĻ⧁āϟāĻž āϕ⧇āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻ•āĻŋāĻŦ ?)

  • Between 4 and 5 o'clock, when will the clock hands be opposite ? (ā§Ē āĻŦāϜāĻžā§° āĻĒā§°āĻž ā§Ģ āĻŦāϜāĻžā§° āĻ­āĻŋāϤ⧰āϤ āϘāĻĄāĻŧ⧀⧰ āĻ•āĻžāρāϟāĻŋāĻĻ⧁āϟāĻž āϕ⧇āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻ•āĻŋāĻŦ ?)

  • Between 5 and 6 o'clock, when will the clock hands be opposite? (ā§Ģ āĻŦāϜāĻžā§° āĻĒā§°āĻž ā§Ŧ āĻŦāϜāĻžā§° āĻ­āĻŋāϤ⧰āϤ āϘāĻĄāĻŧ⧀⧰ āĻ•āĻžāρāϟāĻŋāĻĻ⧁āϟāĻž āϕ⧇āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻ•āĻŋāĻŦ ?)

  • Between 6 and 7 o'clock, when will the clock hands be opposite? (ā§Ŧ āĻŦāϜāĻžā§° āĻĒā§°āĻž ā§­ āĻŦāϜāĻžā§° āĻ­āĻŋāϤ⧰āϤ āϘāĻĄāĻŧ⧀⧰ āĻ•āĻžāρāϟāĻŋāĻĻ⧁āϟāĻž āϕ⧇āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻ•āĻŋāĻŦ ?)

  • Between 7 and 8 o'clock, when will the clock hands be opposite ? (ā§­ āĻŦāϜāĻžā§° āĻĒā§°āĻž ā§Ž āĻŦāϜāĻžā§° āĻ­āĻŋāϤ⧰āϤ āϘāĻĄāĻŧ⧀⧰ āĻ•āĻžāρāϟāĻŋāĻĻ⧁āϟāĻž āϕ⧇āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻ•āĻŋāĻŦ ?)

  • Between 8 and 9 o'clock, when will the clock hands be opposite ? (ā§Ž āĻŦāϜāĻžā§° āĻĒā§°āĻž ⧝ āĻŦāϜāĻžā§° āĻ­āĻŋāϤ⧰āϤ āϘāĻĄāĻŧ⧀⧰ āĻ•āĻžāρāϟāĻŋāĻĻ⧁āϟāĻž āϕ⧇āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻ•āĻŋāĻŦ ?)

  • Between 9 and 10 o'clock, when will the clock hands be opposite? (⧝ āĻŦāϜāĻžā§° āĻĒā§°āĻž ā§§ā§Ļ āĻŦāϜāĻžā§° āĻ­āĻŋāϤ⧰āϤ āϘāĻĄāĻŧ⧀⧰ āĻ•āĻžāρāϟāĻŋāĻĻ⧁āϟāĻž āϕ⧇āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻ•āĻŋāĻŦ ?)

  • Between 10 and 11 o'clock, when will the clock hands be opposite? (ā§§ā§Ļ āĻŦāϜāĻžā§° āĻĒā§°āĻž ā§§ā§§ āĻŦāϜāĻžā§° āĻ­āĻŋāϤ⧰āϤ āϘāĻĄāĻŧ⧀⧰ āĻ•āĻžāρāϟāĻŋāĻĻ⧁āϟāĻž āϕ⧇āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻ•āĻŋāĻŦ ?)

  • Between 11 and 12 o'clock, when will the clock hands be opposite ? (ā§§ā§§ āĻŦāϜāĻžā§° āĻĒā§°āĻž ⧧⧍ āĻŦāϜāĻžā§° āĻ­āĻŋāϤ⧰āϤ āϘāĻĄāĻŧ⧀⧰ āĻ•āĻžāρāϟāĻŋāĻĻ⧁āϟāĻž āϕ⧇āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻ•āĻŋāĻŦ ?)

  • Between 12 and 1 o'clock, when will the clock hands be opposite ? (⧧⧍ āĻŦāϜāĻžā§° āĻĒā§°āĻž ā§§ āĻŦāϜāĻžā§° āĻ­āĻŋāϤ⧰āϤ āϘāĻĄāĻŧ⧀⧰ āĻ•āĻžāρāϟāĻŋāĻĻ⧁āϟāĻž āϕ⧇āϤāĻŋāϝāĻŧāĻž āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻāĻŋāĻļāϤ (ā§§ā§Žā§Ļ°) āĻĨāĻžāĻ•āĻŋāĻŦ ?)​