The three words "TATA Assets Rock" are flashed such that the words individually are switched on at regular intervals of 4,7 and 9 seconds respectively and after they are switched on, the words are switched off after 2 sec, 4 sec and 5 sec respectively. If at time 't' all the words happened to switch off simultaneously, find the least time 't' which all three words will switch on simultaneously.
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The first word will switch on after 4x+(4−2) seconds from t The second word will switch on after 7y+(7−4) seconds from t The third word will switch on after 9z+(9−5) seconds from t. ⇒ If at t', all the switches on together t′−t=4x+2=7y+5=9z+4
We want the least value of t′−t for which x, y and z are integers.
Check the options we get 94 the least option.