Latest TCS Aptitude Question SOLUTION: . A circle has 29 points arranged in a clock wise manner from o to 28. A bug moves clockwise manner from 0 to 28. A bug moves clockwise on the circle according to following rule.

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(#M40030229) TCS Logical Reasoning question tcs Keep an EYE

. A circle has 29 points arranged in a clock wise manner from o to 28. A bug moves clockwise manner from 0 to 28. A bug moves clockwise on the circle according to following rule. If it is at a point i on the circle, it moves clockwise in 1 sec by (1 + r) places, where r is the remainder (possibly 0) when i is divided by 11. If it starts in 23rd position, at what position will it be after 2012 sec.

Asked In TCS (11 years ago)

Solved mahendra kumar Read Solution (8)

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Read Solution (8) :

mahendra kumar  (11 years ago)

After 1st second, it moves 1 + (23/11)r = 1 + 1 = 2, So 25th position
After 2nd second, it moves 1 + 25/11 = 1 + 3 = 4, So 29th position = 0
After 3rd second, it moves 1 + 0/11 = 1 + 0 = 1, So 1st position
After 4th second, it moves 1 + 1 = 3rd position
after 5th, 1 + 3/11 = 4 So 7th
After 6th, 1 + 7/11 = 8 so 15th
After 7th, 1 + 15/11 = 5 so 20th
After 8th, 1 + 20/11 = 10th, So 30th = 1st
So it is on 1st after every 3 + 5n seconds. So it is on 1st position after 2008 seconds (3 + 5 x 401) So on 20th after 2012 position.

Is this solution Helpfull? Yes (28) | No (7)  

tushar bansal  (11 years ago)

After 1st second, it moves 1 + (23/11)r = 1 + 1 = 2, So 25th position
After 2nd second, it moves 1 + 25/11 = 1 + 3 = 4, So 29th position = 0
After 3rd second, it moves 1 + 0/11 = 1 + 0 = 1, So 1st position
After 4th second, it moves 1 + 1 = 3rd position
after 5th, 1 + 3/11 = 4 So 7th
After 6th, 1 + 7/11 = 8 so 15th
After 7th, 1 + 15/11 = 5 so 20th
After 8th, 1 + 20/11 = 10th, So 30th = 1st
So it is on 1st after every 3 + 5n seconds. So it is on 1st position after 2008 seconds (3 + 5 x 401) So on 20th after 2012 position

Is this solution Helpfull? Yes (7) | No (4)  

Arun Menariya  (11 years ago)

20`th position is ans.

Is this solution Helpfull? Yes (1) | No (3)  

rajat goyal  (11 years ago)

After 1st second, it moves 1 + (23/11)r = 1 + 1 = 2, So 25th position
After 2nd second, it moves 1 + 25/11 = 1 + 3 = 4, So 29th position = 0
After 3rd second, it moves 1 + 0/11 = 1 + 0 = 1, So 1st position
After 4th second, it moves 1 + 1 = 3rd position
after 5th, 1 + 3/11 = 4 So 7th
After 6th, 1 + 7/11 = 8 so 15th
After 7th, 1 + 15/11 = 5 so 20th
After 8th, 1 + 20/11 = 10th, So 30th = 1st
So it is on 1st after every 3 + 5n seconds. So it is on 1st position after 2008 seconds (3 + 5 x 401). and the answer is 20 and also in option oly 20 is the option whch will satisfy dis...

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Shivangi Nagar  (11 years ago)

ans:15th position
23 divided by 11 gives 1 remainder.....and acc to question it moves(i+1)places,that is1+1=2 places in 1 sec
if in 1 sec it moves 2 places,,
then in 2012sec it moves 2012*2=4024 places......
and nos are from 0 to 29 and currently it is on 23rd ....so
4024%23 gives 22 remainder which represent the moves from 23 position after certain revolutions......
therefore after 22 moves from 23rd it will be at 15th position............

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Shivangi Nagar  (11 years ago)

ans:15th position
23 divided by 11 gives 1 remainder.....and acc to question it moves(r+1)places,that is1+1=2 places in 1 sec
if in 1 sec it moves 2 places,,
then in 2012sec it moves 2012*2=4024 places......
and nos are from 0 to 29 and currently it is on 23rd ....so
4024%29 gives 22 remainder which represent the moves from 23 position after certain revolutions......
therefore after 22 moves from 23rd it will be at 15th position............

Is this solution Helpfull? Yes | No (3)  

amrtuha  (11 years ago)

if it is on 1st position after 2008sec... then for 2009 its 25th, 2010 its 0th position, 2011 its 1st, 2012 its 3rd position know... how its on 20th position after 2012 sec.. plz someone explain me..

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Srijan Saha  (9 years ago)

After 1st second, it moves 1 + (23/11)r = 1 + 1 = 2, So 25th position
After 2nd second, it moves 1 + 25/11 = 1 + 3 = 4, So 29th position = 0
After 3rd second, it moves 1 + 0/11 = 1 + 0 = 1, So 1st position
After 4th second, it moves 1 + 1 = 3rd position
after 5th, 1 + 3/11 = 4 So 7th
After 6th, 1 + 7/11 = 8 so 15th
After 7th, 1 + 15/11 = 5 so 20th
After 8th, 1 + 20/11 = 10th, So 30th = 1st
So it is on 1st after every 3 + 5n seconds. So it is on 1st position after 2008 seconds (3 + 5 x 401) So on 20th after 2012 position

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