Friday 27 June 2014

Tropical fruit on an open truck

 A farmer is taking 1000kg of a tropical fruit which contains 99 percent water for sale in an open truck.Due to being held up midway  and sun being hot  the water content of the fruit comes down to 98 percent .What is the weight of the fruit now?

Friday 20 June 2014

More rectangular magic grids

In continuation of my previous blog,I am showing below bigger magic rectangular grids
1)3 rows/5 columns-Total each row 50,Total each column 30
First row-       1     17     2     16    14
Second row    9     10    21     6      4
Third row       20     3     7       8     12...Numbers from 1 to 21 with 5,11,13,15,18,19 avoided
You need a total all rows or all  columns 150.This total can be obtained by using the 15 numbers from 3 to 17. .Can you work up a rectangle using those numbers?
2)4 rows/5 columns-Total each row 60,Total each column 48
First row         1      13    24    5      17
2nd row          23     4      6     7      20
3rd row          15    12    16   14       3
4th row           9      19     2    22      8.....Numbers from 1 to 24 with 10,11,18,21 avoided
3)In the example above you needed a total all rows or all columns 240.As a variation I tried using the 20 numbers from 1 to5 and 8 to 22.
The grid is like this-
 First row            1      21   16    18     4
2nd row            11     12    3     15    19
3rd row             14     13   20     5      8
4th row              22      2     9    10    17

Tuesday 17 June 2014

Rectangular Magic grid

This is similar to a magic square.I am presenting a rectangular grid with 2 rows and 3 columns.
Each row contains 3 numbers and the sum of the numbers in each row is the same
Each column contains 2 numbers and the sum of the numbers in each column is the same
No number gets repeated anywhere.
Following are 2 examples-
1)First row-..........1      8      9
   Second row......11     4      3..   Each row totals 18 and each column totals 12
2)First row......................................1      10     7
    Second row................................11      2     5.....similar to 1) above

I am also giving 2 examples of rectangular grids with 4 numbers in each row and 3 numbers in each column
1)........1      4     15    12
           5      11    6      10
          18      9     3       2....     each row total 32 each column total 24
2)                                       1       4       11     16
                                          9.      7        10     6
                                         14      13       3      2     similar to previous example
You can make such rectangular grids easily with large numbers but it is difficult if you use small numbers
You can also have more numbers each row and more numbers each column

Sunday 15 June 2014

Puzzle about 3 variables a,b,c

Three variables are governed by the relation a^2+b^2=c^2
Can you find which of the following is true?
1)(a+b)=c
2)(a+b)>c
3)(a+b)<c
You have to explain your reasoning.

Thursday 5 June 2014

Selection /Deletion of numbers

Suppose I first make a list of all the consecutive numbers from unity.
Suppose next I delete all the numbers which contain the digit 3 as well as those which are multiples of 3.
From the list of the remaining numbers,can you tell me what will be  the 40th number or the 50th number?
Suppose I next also delete from this new list all numbers containing the digit 4 as well as multiples of 4.
What will be the 30th number now? 

Monday 2 June 2014

Group of 8 numbers

The average of the 8 numbers forming a group is 20.The average of the first 2 numbers is 15.5 and the average of the next 3 is 64/3.If the 6th number is less than the seventh and eighth by 4 and 7 respectively,find the 8th number