Question

Two flashlights, of red and yellow colour respectively, flash at respective intervals of 9 seconds
and 33 seconds, 24 seconds. In an interval of 250 seconds, what is the maximum possible
difference in the number of times that the red and yellow lights flash?

1)7
2)20
3)27
4)4​

Answer 1

Given : Two flashlights, of red and yellow color respectively, flash at respective intervals of 9 seconds and 33 seconds,

To Find : the maximum possible difference in the number of times that the red and yellow lights flash

1)7

2)20

3)27

4)4​

Solution:

Let say Red flashed at 1 Sec 1st

and yellow flashed at  32  secs 1st  

Red lights flashed

 1 + (n - 1)9 ≤  250

=> 1 + 9n - 9 ≤  250

=> 9n  ≤  258

=> n  ≤  28.6

=> n = 28

Yellow lights

32 + (n - 1)33 ≤  250

=> 33n - 1 ≤  250

=> 33n  ≤  251

=> n  ≤  7.6

=> n =  7

Difference = 28 - 7 = 21

maximum possible Difference in the number of times that the red and yellow lights flash = 21

None of the given option is correct

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Answer 2

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21