Friday, October 23, 2009

Date

In a group, there are 10 boys and 10 girls.
Each girl has 4 boyfriends.
And all boys has equal number of girlfriends.


Question: How may ways they can date each other so that everyone goes on a date with one of his/her partner only?

[Post your answers with explanation in the comments]

Thursday, October 15, 2009

Fill the jar

You have two water jugs A & B, how would u manage to fill the jug A with 2 litres of water.

Conditions:
1. The jugs are not graduated.
2. You are free to move water from one jug to other.
3. You can take extra water or throw it out of jug.
4. Third Jug or measurement tool is not allowed.
5. The water should b exactly 2 liters, not estimated.

Capacity:
Jug A = 4 Litres
Jug B = 3 Litres

[Post your answers with explanation in the comments]

Wednesday, October 14, 2009

Tom and Jerry Race

Tom and Jerry ran a 200 m race.
When Tom reached the finish line; Jerry was 10 m behind him.

So next time, Jerry made Tom stand 10 m behind the start line & both ran with same speed as in the earlier race.

Question: Who will win this time ?

[Post your answers with explanation in the comments]

Daughters' Age

Two MIT math grads bump into each other at Fairway on the upper west side.
They haven't seen each other in over 20 years.
First grad says to the second: "How have you been?"
Second: "Great! I got married and I have three daughters now"
First: "Really? How old are they?"
Second: "Well, the product of their ages is 72, and the sum of their ages is the same as the number on that building over there.."
First: "Right, ok.. oh wait.. hmm, I still don't know"
Second: "Oh sorry, the oldest one just started to play the piano"
First: "wonderful! my oldest is the same age!"

Question: How old are the daughters

[Post your answers with explanation in the comments]

Sunday, October 11, 2009

2 Triangles

You have four bars, which have different integer lengths.
You construct a triangle using 3 of them.
When you make a new triangle by substituting one of the bars with the fourth one, you realize that these two triangles are similar triangles.

Question: What is the minimum possible total length of these four bars?

[Post your answers with explanation in the comments]

Friday, October 9, 2009

Maximum Bananas

A horse is having 2700 bananas which it whats to transfer from point A to point B.
Distance between A and B is 900Km.
It can take 900 bananas at a time and it eats 1 banana after every 1km.
Question: How many maximum bananas he can carry to point B??

[Post your answers with explanation in the comments]

Image Credits: stlucia.gov.lc

Wednesday, October 7, 2009

Aliens

You are an explorer who arrived on planet Bypolar. The Bypolarians come in two species: the Falsians and the Truans. The Falsians always lie whereas the Truans always tell the truth. Alas, you do not know how to distinguish them.
In any case, two locals are waiting for you.
First Bypolarian: You are most welcome on our planet. You are safe here.
Second Bypolarian: You must leave at once. You are in danger.
First Bypolarian: Do not mind my friend, he always lie.
Second Bypolarian: Ah… we always disagree.
Question: Should you be worried or relaxed?

[Post your answers with explanation in the comments]

Image Credits: drwill.com

Tuesday, October 6, 2009

Cross the Bridge

4 persons need to cross a bridge.
All take different time to cross the bridge.
Only 2 persons can cross the bridge simultaneously.
There is darkness,so they also need a lamp to cross it and hence the 2 people crossing the bridge should reach the other end at the same time.
They have only one lamp with them, So one person must come back with the lamp.

If these 4 persons take 1,2,5 and 10 minutes to cross the bridge

Question: What is the shortest time in which they can cross it?

[Post your answers with explanation in the comments]

Image Credits: demystifyingmedicine.od.nih.gov