What will be the acute angle between the hour-hand and the minute-hand at 2:13 p.m?

This question was previously asked in
RRB ALP Previous Paper 14 (Held On: 20 Aug 2018 Shift 3)
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  1. 16.5° 
  2. 18°
  3. 13.5° 
  4. 11.5° 

Answer (Detailed Solution Below)

Option 4 : 11.5° 
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Detailed Solution

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Formula Used:

Θ = | Hours × 30\( {11 \ \over2}\) × Minute |

Calculation:

Θ = | 2 × 30◦ \( {11 \ \over2}\) × 13 |

Θ = | 60◦ \( {143 \ \over2}\)|

Θ = | 60◦ - 71.5 |

Θ = | - 11.5 |

Θ = 11.5 

Hence, "11.5"  will be the acute angle between the hour-hand and the minute-hand at 2:13 p.m

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