Where, θ→ angle travelled by minute hand φ→ angle travelled by hour hand We know that, 360∘ of minute hand =30∘ of hour hand ∴
φ
θ
=
30∘
360∘
⇒φ=
θ
12
⇒θ=12φ ⇒90+φ=12φ [∵θ=90+φ] ⇒90=11 φ ⇒φ=
90
11
≈8.2 ∴12φ=12×8.2=98.4 360∘ angle means →60min. 96∘ angle means →16min 102∘ angle means →17min ∴98.4∘ will be meant between 16 to 17min. Hence, option (b) is correct.