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, 27 June 2014
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
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
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.
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?
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
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