Aptitude - 4 thieves rob a bakery of the bread one after the other. Each thief takes half of what is present &

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4 thieves rob a bakery of the bread one after the other. Each thief takes half of what is present & half a bread. If at the end 3 bread remains, what is the number of bread that was present initially?

Total Answers and Comments: 17

Last Update: October 27, 2009

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Submitted by: HEMANTHKUMAR VARADHARAJAN

Let the no. of breads initially present be x.Then1 st thief takes x/22 nd thief takes x/43 rd thief takes x/84th thief takes x/16.Remaining = 3 breadsEquating x/2 + x/4 + x/8 + x/16 + 3 = x(15x + 48)/16 = x15x + 48 = 16x=> x = 48The number of breads initially present were 48.

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July 17, 2005 13:37:19

nmodi

RE: 4 thieves rob a bakery of the bread one after the other. Each thief takes half of what is present & ...

Ans. 48

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August 06, 2005 02:43:08

sachin kumar rai

RE: 4 thieves rob a bakery of the bread one after the other. Each thief takes half of what is present & ...

according to my calc. the no. of breads 64

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October 20, 2005 08:18:50

ashish g

RE: 4 thieves rob a bakery of the breadone afte...

I think answer is 63

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October 20, 2005 08:33:59

ashish g

Member Since: October 2005 Contribution: 2

RE: 4 thieves rob a bakery of the breadone afte...

no. of breades are 63

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November 21, 2005 04:50:34

Sheetal Salunkhe

RE: 4 thieves rob a bakery of the breadone afte...

initially the breads should be 48. first thief took 24 of 48 second one took 12 of 24 third one have took 6 of 12 then remains 3 breads.

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December 20, 2005 05:48:16

sunita

RE: 4 thieves rob a bakery of the breadone afte...

ans:

it will be 63

procedure:

let initially der are x breads

1st thief takes x/2 +1/2 so remaining x-(x/2+1/2) x/2-1/2

2nd thief takes 1/2+1/2*(x/2-1/2) 1/2+x/4-1/4 x/4+1/4 so remain x/2-1/2-x/4-1/4 x/4-3/4

3rd thief takes 1/2 +1/2*(x/4-3/4) 1/2+x/8-3/8 x/8+1/8 so remain x/4-3/4-x/8-1/8 x/8-7/8

4th thief takes 1/2+1/2*(x/8-7/8) 1/2+x/16-7/16 x/16+1/16 so remain x/8-7/8-x/16-1/16 x/16-15/16

so x/16-15/16 3

x 48+15 63(ans)

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February 19, 2006 14:47:41

jaspreet(jagz)

RE: 4 thieves rob a bakery of the breadone afte...

63( ( ( ( X/2-B/2 )/2 -B/2 )/2 -B/2 ) /2 -B/2 ) 3B >( X-15B) /16 3B >X 63B

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June 20, 2006 09:15:06

HEMANTHKUMAR VARADHARAJAN

RE: 4 thieves rob a bakery of the breadone afte...

Let the no. of breads initially present be x.Then1 st thief takes x/22 nd thief takes x/43 rd thief takes x/84th thief takes x/16.Remaining 3 breadsEquating x/2 + x/4 + x/8 + x/16 + 3 x(15x + 48)/16 x15x + 48 16x > x 48The number of breads initially present were 48.

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August 07, 2006 02:04:01

amateur

RE: 4 thieves rob a bakery of the breadone afte...

Ans : 48

Let Total no of breads be X.

> 1st Thief took X/2 remaining X/2

> 2nd Thief took 1/2 * X/2 X/4 remaining X/2-X/4 X/4

> 3rd Thief took 1/2 * X/4 X/8 remaining X/4-X/8 X/8

> 4th Thief took 1/2 * X/8 X/16 remaining X/8-X/16 X/16

Now its given that remaining bread 3

Therefore X/16 3

> X 48

Ans 48.

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October 25, 2006 01:52:02

#10

maximus

RE: 4 thieves rob a bakery of the breadone afte...

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