Latest Others Aptitude Question SOLUTION: 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 o

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(#M40019324) OTHERS question Keep an EYE

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.

Asked In Others mohan lal garg (10 years ago)

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Sanjay Singh  (8 years ago)

If we make time line for a(=tata), b(=assets) & c(=rock), we find dat a will on at (4, 10, 16, 22,...) giving equation_1 4x + 2(x-1). For b, we find dat it will on at (7, 18, 29,...) giving equation_2 7y+4(y-1) & c will be on at (9, 23, 27,...) giving equation_3 9z+5(z-1). Now, we have to find those integer values of x, y & z for which value of above 3 equations is same. By equating options with these 3 equations, only option, 94 is providing values close to integer for x, y & z.

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saumya singh  (8 years ago)

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.

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