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# How many flowers offered in the temple?

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Intern
Joined: 09 Jun 2014
Posts: 9
Concentration: Technology, Strategy
GMAT 1: 720 Q50 V37
How many flowers offered in the temple?  [#permalink]

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01 Aug 2014, 14:14
1
00:00

Difficulty:

85% (hard)

Question Stats:

60% (03:26) correct 40% (03:13) wrong based on 44 sessions

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There are four temples, one plant of flower and a pond.

A boy goes there and before entering the first temple he plucks the flower and has to take a bath in the pond before entering into every temple.

The specialty of the pond is that if a person is carrying flowers with him and he takes a dip in the pond the number of the flowers gets doubled.

He takes a dip and offers some flowers in the first temple, then he again takes a dip and offers flowers in second temple , again the same in the third temple, and again the same in the fourth temple

The boy offers EQUAL number of flowers in all the four temples and goes back with EMPTY hand after offering flower in the fourth temple..How many flowers could he have offered in each temples?

A) 20
B) 24
C) 30
D) 48
E) 60
Senior Manager
Joined: 22 Feb 2018
Posts: 420
How many flowers offered in the temple?  [#permalink]

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15 Oct 2018, 08:24
2
sandeepk123 wrote:
There are four temples, one plant of flower and a pond.

A boy goes there and before entering the first temple he plucks the flower and has to take a bath in the pond before entering into every temple.

The specialty of the pond is that if a person is carrying flowers with him and he takes a dip in the pond the number of the flowers gets doubled.

He takes a dip and offers some flowers in the first temple, then he again takes a dip and offers flowers in second temple , again the same in the third temple, and again the same in the fourth temple

The boy offers EQUAL number of flowers in all the four temples and goes back with EMPTY hand after offering flower in the fourth temple..How many flowers could he have offered in each temples?

A) 20
B) 24
C) 30
D) 48
E) 60

OA : D

Initial Number of Flower: $$x$$

\begin{matrix}
S.No & After Bath & Temple & Remaining \\
1 & 2x & y & 2x-y \\
2 & 2(2x-y) & y & 4x-3y\\
3 & 2(4x-3y) & y & 8x-7y\\
4 & 2(8x-7y) & y & 16x-15y
\end{matrix}

According to the question: $$16x-15y =0 ; 16x=15y$$

$$x = \frac{15}{16}y$$

As $$x$$ is an integer, $$y$$ should be a multiple of $$16$$.

Only Option D is a multiple of $$16$$.
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Manager
Joined: 17 Mar 2014
Posts: 68
How many flowers offered in the temple?  [#permalink]

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10 Jan 2015, 21:01
sandeepk123 wrote:
There are four temples, one plant of flower and a pond.

A boy goes there and before entering the first temple he plucks the flower and has to take a bath in the pond before entering into every temple.

The specialty of the pond is that if a person is carrying flowers with him and he takes a dip in the pond the number of the flowers gets doubled.

He takes a dip and offers some flowers in the first temple, then he again takes a dip and offers flowers in second temple , again the same in the third temple, and again the same in the fourth temple

The boy offers EQUAL number of flowers in all the four temples and goes back with EMPTY hand after offering flower in the fourth temple..How many flowers could he have offered in each temples?

A) 20
B) 24
C) 30
D) 48
E) 60

Note : all temples received equal flowers

lets start with the 4th temple , lets say all x flowers were given, then before dip x/2 flowers must have been left after offering in the 3rd temple. ( only then x/2 flowers could be doubled to become x and all offered in the 4th temple with nothing left over )

so x/2 flowers were left after offering made in the 3rd temple

going backwards .....
(x/2) left after 3rd temple + x given in the 3rd temple =(3x/2) {after dip, total flowers just before offering in the 3rd temple}
so before dip (3x/4)

(3x)/4 left after 2nd temple + x given in the 2nd temple = (7x)/4{after dip, total flowers just before offering in the 2nd temple}
so before dip (7x)/8

(7x)/8 left after 1st temple + x given in the 1st temple = (15x)/8{after dip, total flowers just before offering in the 1st temple}
so before dip (15x)/16

now since number of flowers have to be an integer then x has to be a multiple of 2,4,8 and 16
only 48 satisfies
Intern
Joined: 10 Feb 2013
Posts: 14
Location: India
Concentration: General Management, Finance
GMAT Date: 05-16-2015
GPA: 3.67
WE: Programming (Computer Software)
Re: How many flowers offered in the temple?  [#permalink]

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10 Jan 2015, 22:02
Let us suppose he had plucked x flowers initially.

Now temple 1

b4 entering he takes a bath in the pond so no of flowers = 2x

and let no of flowers offered is = y ( this has to be same in all the four cases )

So remaining = 2x-y

temple 2

after bath no of flowers = 2*(2x-y) = 4x-2y

as usual no of flowers offered = y

so remaining = 4x-3y

temple 3

after bath = 2*(4x-3y) = 8x-6y

after offering flowers remaining = 8x-7y

temple 4

after bath = 2*(8x-7y) = 16x-14y

after offering flowers = 16x-15y

But know that there are no more flowers left hence

16x = 15y

y = 16x/15

Hence the no of flowers offered need to be multiple of 16 since x and y have to be positive integers

The only multiple of 16 in the options was 48

sandeepk123 wrote:
There are four temples, one plant of flower and a pond.

A boy goes there and before entering the first temple he plucks the flower and has to take a bath in the pond before entering into every temple.

The specialty of the pond is that if a person is carrying flowers with him and he takes a dip in the pond the number of the flowers gets doubled.

He takes a dip and offers some flowers in the first temple, then he again takes a dip and offers flowers in second temple , again the same in the third temple, and again the same in the fourth temple

The boy offers EQUAL number of flowers in all the four temples and goes back with EMPTY hand after offering flower in the fourth temple..How many flowers could he have offered in each temples?

A) 20
B) 24
C) 30
D) 48
E) 60
Re: How many flowers offered in the temple?   [#permalink] 10 Jan 2015, 22:02
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