Friday, 3 June 2016

On 21:20:00 by Unknown in ,    14 comments
The signboard at a cloth store "Stylish Cloth Showroom", lights up as described below.

When the switch is turned on all the three words light up and remain lighted for 3 seconds. After that the first word goes off for 7(5/6) seconds, the second word for 1(1/3) seconds and the third word for 3(2/3) seconds.

Each word follows its respective pattern of lighting for 3 seconds and going off for its respective duration.

How many seconds after the signboard is switched on will the entire board remain lighted for 3 seconds, for the second time ?
See results

14 comments:

  1. Answer to the Question -

    The entire display will glow after every
    LCM of [{7(5/6)+3},{1(1/3)+3},{3(2/3)+3}] seconds

    = LCM of (65/6,13/3,20/3)
    = LCM of (65,13,20) / HCF of (6,3,3)
    = 260/3 = 86(2/3) seconds

    ReplyDelete