Test Index

AP ICET 2016 Paper

Question : 70 of 200

Marks: +1, -0

Solution:

Time : 3 hr 26 min 25 sec.

26 min 25 sec

=26+\frac{25}{60}

min

=\frac{317}{12}

min.

Angle moved by minute-hand in 1 minute = 6°

∴ Angle moved by minute - hand in

\frac{317}{12}

minutes

=\frac{317}{12}\times 6^{\circ}=158.5^{\circ}

Similarly, angle moved by seconds-hand in 25 seconds

=25\times 6^{\circ}=150^{\circ}

∴ The angle between the minute-hand and the seconds-hand

=158.5^{\circ}-150^{\circ}

=8.5^{\circ}

Aliter :

Using direct formula,

\theta=\left|6m-\frac{59}{10}s\right|

\therefore\theta=\left|6\times26\;\;-\frac{59}{10}\times25\right|

=\left|156-147.5\right|=8.5^{\circ}

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