Children weighing themselves

Five children thought of a scheme to weigh themselves on an automatic weighing machine at the cost of a single coin.Two of them got on to the stand at the same time,and one of them changed places with another until all the ten pairs are weighed..The results in kgs were as  follows-51.7..  52    53.5   54     55    55.3      55.8     56.7     57    and  58.5...What are their individual weights?

A Conversation logic

This is a logic puzzle for you
Out of 2 persons A and B,A lies on Mondays,Tuesdaysand Wednesdays and tells truth on other days.B lies on Thursdays,Fridays and Saturdays and speaks truth on other days.
At noon on a particular day the following conversation took place-
A-I lie on Saturdays
B-I will lie tomorrow
A-I lie on Sundays
On which day of the week this conversation took place?
  

Cryptogram for deciphering-Rejoinder

The sentence starts with  number 26.As A and I are the only single alphabet words,26 can stand for for alphabet   A or  I.By logic we can start the numbers 26,25,24 etc with A,B,C etc or I,J,K etc or I,H,G etc or A,Z,Y etc.
By seeing all these options we can decipher the sentence.It is actually as follows-
A bird in the hand is messy.,

Sequence filling puzzle

There was a puzzle shown in Sunday Magazine New Indian Express 20 july 2014 as follows-
What number comes next in the sequence 1,4,5,6,7,9,11..
Although I can give a hint that it is an alphanumeric sequence (Having connection with numbers and  alphabets) -it was truly  difficult to find the answer.
You will be surprised the next number is 100.
All the numbers shown in the puzzle when expressed in words do not contain the alphabet T.
The only next number with this quality as you can observe will be 100..

Birthdays for twins-Rejoinder

This is with reference to my earlier blog where I had enquired how the younger child among twins could celebrate his birthday earlier than his older brother.
This is possible as per  the circumstances shown below-
At the time the mother went into labour,she was travelling east-bound by boat.The older twin was born first early on March 1st,The boat then crossed the international date-line (where the date  still relates to February 28th) and the younger twin was born at that time viz on February 28th.
In a leap year the younger twin will thus celebrate his birthday 2 days before his elder brother.

Cryptogram for deciphering

A cryptogram was published in Times of India paper of October 1st
A series of numbers were given,each number referring to a particular English alphabet and the whole group supposed to represent a message.
Following are the numbers
26,25,18,9,23,18,13,7,19,22,19,26,13,23,18,8,14,22,8,8,2
Unfortunately no hint was given about the number  of words involved and the number of alphabets included in each word.It was thus  difficult to decipher the message.
Let me give you this hint
There are 7 words and they are represented by the following group of numers .
26....... 25,18,9,23....18,13.....7,19,22.....19,26,13,23....18,8.....14,22,8,8,2
Can you now decipher the message
The highest number is 26 and the numbers from 1 to 26 are supposed to refer to the 26 alphabets in a particular order  like a,b,c.d,e....... or z,y,x,w,v etc

Identification of an odd ball out of twelve

You have 12 identical balls.All of them weigh the same except one odd ball weighing either higher or lower than the other 11.You have a pan balance with no weights.In 3 weighings find the odd ball out and determine whether it weighs higher or lower than the others.