Latest TCS Aptitude Question SOLUTION: 2 gears one with 12 teeth and other one with 14 teeth are engaged with each other. One teeth in smaller and one tooth in bigger are marked and initially those 2 marked teeth are in

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(#M40022893) TCS Numerical Ability question Keep an EYE

2 gears one with 12 teeth and other one with 14 teeth are engaged with each other. One teeth in smaller and one tooth in bigger are marked and initially those 2 marked teeth are in contact with each other. After how many rotations of the smaller gear with the marked teeth in the other gear will again come into contact for the first time?
a) 7
b) 12
c) Data insufficient
d) 84

Asked In TCS babu (10 years ago)

Unsolved Read Solution (5)

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aditya wargis  (10 years ago)

lcm(12&14)=84
since the biger gear rotates 84 teeth in 6 rotations
and smaller gear rotates 84 teeh in 7 rotations
Ans-a)

Is this solution Helpfull? Yes (31) | No (2)  

dheeraj  (10 years ago)

i think its lcm of 12 and 14 ie 84

Is this solution Helpfull? Yes (22) | No (14)  

vaasa nagesh  (10 years ago)

Correct Option : A
Assume the distance between the teeth is 1 cm. Then the circumference of first gear is 12 cm and the second is 14 cm.
Now LCM (12, 14) = 84. So to cover 84 cm, the first gear has to rotate 8412 = 7 rounds (the second gear rotates 84 / 14 = 6 rounds as it is bigger)

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Rajarshi Bhattacharyya  (10 years ago)

84(LCM OF 12 AND 14)

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Rudra  (10 years ago)

@ash Which is the correct ans???

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