Latest Elitmus Aptitude Question SOLUTION: A basket ball is dropped from hight at 24 feet it bounce back each time to a height which is one half of the height of the last bounce.how for approxmately will the ball have trave

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(#M40038940) ELITMUS Numerical Ability question aptitude Keep an EYE

A basket ball is dropped from hight at 24 feet it bounce back each time to a height which is one half of the height of the last bounce.how for approxmately will the ball have traveled before it comes ?

a) 12 b) 24 c) 72 d)can't be deteremined

Asked In Elitmus Dada Khalandar (10 years ago)

Unsolved Read Solution (15)

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medha  (10 years ago)

ANS: c)72

24+(12+12)+(6+6)+(3+3)+.......
= 24+2*[12+6+3.....]
= 24+2*[12/(1-1/2)] (INFINITE GP a/(1-r))
= 24+48
= 72

Is this solution Helpfull? Yes (53) | No   

DIMPLE SINGH  (10 years ago)

as it has been dropped from 24 feet so the ball will travell approximately
= 24 + (12+12)+ (6+6)+(3+3) + (1.5+1.5)+ (.75+.75)....
= 72

Is this solution Helpfull? Yes (4) | No (1)  

Rishabh Bakliwal  (10 years ago)

when the ball is dropped it first travel 24 feet in downwards direction then it bounces back again upto 24 feet then then after every bounce its height reduces by 1/2 i.e
24+[24+12+6+3+2+1+....]
its in g.p and has infinite terms so
s= 24/(1-1/2)
s=48
total=48+24
i.e 72 option c

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Ritesh Siriya  (10 years ago)

here the height is decreased by half ..so consider r = 1/2..
first term is 24 and scond term will be 12..
so the formula for this type of Geometric progression is
(first term/(1-r))+(second term/(1-r))
i.e 24/(1/2) + 12(1/2) = 48+24 = 72..ans c)72

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Pranoy Bej  (10 years ago)

ANSWER==>72
1st bounce to 24 feet
2nd bounce to 12 feet
it will continue till comes to rest. So its a infinite GP.
24/(1-1/2)+12/(1-1/2)=72 feet

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isha taygi  (10 years ago)

it will be =24+2*24( 1/2 + (1/2)^2 upto infinity)
24+48* (1/2)/1-(1/2)=72

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Jyoti Kumari  (10 years ago)

24+12+12+6+6+3+3+1.5+1.5+0.75+0.75+0.3+0.3~=72

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Natasha Arora  (10 years ago)

This forms the infinite gp so 24*2 + 12*2 =72

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Amit kumar  (10 years ago)

Total Disatance Travveled by the ball = 24+(12+12)+(6+6)+(3+3)+............
so, 24+2*(12+6+3+........)
24+2*[12/(1-1/2)]
24+48
72 Ans

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sanjay kumar bhargav  (10 years ago)

24 12 12 6 6 3 3...
24+(24+12+6+....)
24+(24/(1-.5))=24+48=72

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tushar verma  (10 years ago)

72 Each time the ball bouces to half the height , so form a geometric progression with first term 24 and common ratio 1/2 upto infinity . the sum of an infite G.P is the answer .

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Shubham  (9 years ago)

it will be a geometric progression. and the distance =24+2*(24/2+24/4+24/8+24/16 +24/32+.......)
distance D=24*(1+2*(1/2+1/4+1/8+1/16+........)
D=24*(1+2*(0.5/(1-0.5))=24*(1+2)=72 answer.

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Asmita  (9 years ago)

can't be determined :)

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shilpa  (8 years ago)

72 approx becoz 24+(24/2)*2+(12/2)*2+(6/2)*2+(3/2)*2+(1.5/2)*2+(.75/2)*2=71.625
we multiply by 2 becoz it bounce and cm back by covering same distance and divide by 2 becoz it always bounce half of previous distance

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Rahul  (7 years ago)

#Trick given 24feet and bounce back 1/2

so 24*(1+2)/ (2-1)=72

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