Challenging Puzzles - There r 2 pumpkins, same quality but different sizes.Bigger one is 60 cm in circumference and other

GeekInterview.com > Placement Papers > Infosys > Challenging Puzzles

Go To First | Previous Question | Next Question

Challenging Puzzles | Question 190 of 200

There r 2 pumpkins, same quality but different sizes.
Bigger one is 60 cm in circumference and other one is 50 cm in circumference.
Bigger one is one and half times more expensive. Which is the better option?

Total Answers and Comments: 8

Last Update: April 13, 2007 Asked by: Pooja Gupta84

Sponsored Links

Best Rated Answer

—

Submitted by: ravichandra_r

for 1st pumpkin circumfrence 2 x Pi x r1 = 60Cm ==> r1 = 30/Pi

for 2nd pumpkin circumfrence 2 x Pi x r2 = 50Cm==> r2 = 25/Pi

Volume of 1st pumkin = v1 = 4/3 x Pi x (30/Pi)^3

Volume of 2nd pumkin = v2 = 4/3 x Pi x (25/Pi)^3

v1/v2 = 30^3/25^3 = 1.728
v1 is 1.728 times v2
where as price is 1.5times of v2
Hence it is economical to buy 1st pumpkin

Above answer was rated as good by the following members:
shahdadpuri, FreakyPlacements

December 01, 2006 12:03:25

amit

RE: There r 2 pumpkins, same quality but different siz...

Bigger one will be better

Is this answer useful? Yes | No

December 09, 2006 18:36:13

BHISMADEB PANDA(NIL)

RE: There r 2 pumpkins, same quality but different siz...

the answer will be bigger one, because its price is half of the smaller one.

in the case of suppose a person nedeed two 50 kg pumkins, that time if he get shorer one he have to pay rs 50 ,if the price is rs 1 per kilo. so u will take bigger one and he will pay rs 30.

Is this answer useful? Yes | No

December 19, 2006 09:57:09

ravichandra_r

Member Since: December 2006 Contribution: 7

RE: There r 2 pumpkins, same quality but different siz...

for 1st pumpkin circumfrence 2 x Pi x r1 = 60Cm ==> r1 = 30/Pi

for 2nd pumpkin circumfrence 2 x Pi x r2 = 50Cm==> r2 = 25/Pi

Volume of 1st pumkin = v1 = 4/3 x Pi x (30/Pi)^3

Volume of 2nd pumkin = v2 = 4/3 x Pi x (25/Pi)^3

v1/v2 = 30^3/25^3 = 1.728
v1 is 1.728 times v2
where as price is 1.5times of v2
Hence it is economical to buy 1st pumpkin

Is this answer useful? Yes | No

2 0

Overall Rating: +2

January 15, 2007 06:01:56

Guest

RE: There r 2 pumpkins, same quality but different siz...

Mr. Chandran,

You have done a very good calculation. If its a solid mass.

But there is one more angle to look at this problem.

The pumpkins are hollow from inside. It is their circumfrence which matters.

Their fore the ratio of pumpkins (Big/Small) = 60/50 is 1.2 times the smaller one.

Where as you are paying 1.5 times so buying the smaller one will be beneficial.

Guest

Is this answer useful? Yes | No

February 18, 2007 00:26:29

Siddharth

RE: There r 2 pumpkins, same quality but different siz...

Well....actually, its not the circumference that matters for hollow pumpkins, but the surface area, whose ratio comes out to be (30/25)^2 which is 1.5625. Hence, it is still beneficial to buy the bigger pumpkin, since you're gettin about 0.0625 more pumpkin than what you paid for....

Is this answer useful? Yes | No

March 12, 2007 16:06:17

bikash

RE: There r 2 pumpkins, same quality but different siz...

4/3pi60*60*60=1st pumpkin let x4/3pi50*50*50=2nd pumpkin let y
if x/y>3/2 then 1st one is more profitable

Is this answer useful? Yes | No

March 18, 2007 23:59:48

uday

RE: There r 2 pumpkins, same quality but different siz...

guys i dont know y u people think so much calculation to solve this , see i will tell it in simple manner both are of SAME QUANTITY, so both circumference and hollowness does not mattersas question clearly says that SMALL is better option

Is this answer useful? Yes | No

April 13, 2007 05:17:52

S.Raghavan

RE: There r 2 pumpkins, same quality but different siz...

Its literally a logical one.Since the smaller one is of 50cms in circumferance and cost less than one and half times lesser than just 60cms.
example let smaller one's price(50cms)=Rs.50
therefore (75cms)=rs.75/-
but what the problem states is 60cms=rs.75/- which is a loss to the customer.
So a sensible person has to prefer the smaller one

Is this answer useful? Yes | No

Go To Top