Latest IBM Aptitude Question SOLUTION: like from height of 8 mts on ball fell down and each time it bounces half the distance back. so what will be the distance travelled

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like from height of 8 mts on ball fell down and each time it bounces half the distance back. so what will be the distance travelled

Asked In IBM sanjeev (13 years ago)

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Dr.Dipin Singh  (13 years ago)

24

The distance travelled will be

8+(4+4)+(2+2)+(1+1)+.5+.5+.25+.25+....
or
8+8+4+2+1+0.5 ... up to infinity
or
8+(8+4+2+1+0.5 ... up to infinity)

Now (8+4+2+1+0.5 ... up to infinity) is a GP with a=8 and r=1/2=0.5.
sum of GP = a/(1-r) = 8/(1-0.5) = 8/0.5 =16

hence 8+(8+4+2+1+0.5 ... up to infinity) = 8+16 =24

Is this solution Helpfull? Yes (34) | No (1)  

Vasu  (13 years ago)

24 mts
8+4+4+2+2+1+1+....... = 24

Is this solution Helpfull? Yes (10) | No (3)  

Aakanksha Khare  (13 years ago)

24
as 8+4+4+2+2+1+1+.5..... infinit
sumation is 8 + GP of ( 8+4+2+1.......infinity)
8+ 8/.5
8+16 = 24

Is this solution Helpfull? Yes (4) | No (3)  

vinuthna  (13 years ago)

suppose the ball falls from a height of x m
then next time it bounces to a height of x/2 and then falls althrough x/2 height and again bounces back to x/4 height and continues till it comes to rest.
so total distance travelled = x+2(x/2)+2(x/4)+2(x/8).......
=x(1+1+1/2 +1/2^2+....)
=x(1+2)=3x (because 1+1/2+1/4+1/8+... forms an infinite gp whose r

Is this solution Helpfull? Yes (1) | No (6)  

Kundan Kumar  (11 years ago)

each time ball is travelling the half of the previous one, so sequence is 8,4,2,1,.5,......
it is infinite GP series so
d=8/(1-1/2)=16

Is this solution Helpfull? Yes (1) | No (8)  

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