Keypad pattern

Sum of numbers along any row or column is equal to 15.

I only put eight cause it was the only number between 1 and 9 that wasn't there haha

Row 1 : 1 , 5 , 6 , 3 = 1 + 5 + 6 + 3 = 15

Row 2 : 4 , ? , 1 , 2 = 4 + ? + 1 + 2 = 15

Row 3 : 9 , 1 , 2 , 3 = 9 + 1 + 2 + 3 = 15

Row 4 : 1 , 1 , 6 , 7 = 1 + 1 + 6 + 7 = 15

Column 1 : 1 , 4 , 9 , 1 = 1 + 4 + 9 + 1 = 15

Column 2 : 5 , ? , 1 , 1 = 5 + ? + 1 + 1 = 15

Column 3 : 6 , 1 , 2 , 6 = 6 + 1 + 2 + 6 = 15

Column 4 : 3 , 2 , 3 , 7 = 3 + 2 + 3 + 7 = 15

Find the number that will make row 2 and column 2 be equal to 15

Row 2:

4 + ? + 1 + 2 = 15

? + 7 = 15

? = 8

Column 2:

5 + ? + 1 + 1 = 15

? + 7 = 15

? = 8

So the number that will replace the question mark is 8.

row-1: 1 + 5 + 6 + 3 = 15 row-2: 4 + x + 1 + 2 = x + 7 row-3: 9 + 1 + 2 + 3 = 15 row-4: 1 + 1 + 6 + 7 = 15

col-1: 1 + 4 + 9 + 1 = 15 col-2: 5 + x + 1 + 1 = x + 7 col-3: 6 + 1 + 2 + 6 = 15 col-4: 3 + 2 + 3 + 7 = 15

x + 7 = 15 the 7 was added on the right side and changes sign to negative. x = 15 - 7 = 8 (Answer)

This is like a magic square only the diagonals not add up the same

If we add horizontally as well as vertically the sum we get is 15

So in order to fulfill the ? so that the sum becomes 15 the only possible value is 8.

Check: horizontally 5+ 8 +1+1=15 vertically 4+ 8 +1+2=15 thus the answer is 8

Realised the soln after getting you are correct :D. Thought how coulda keypad be keypad without 8 and entered. Then only realized how to solve an the comments too tells the same.

Hahaha.. juz pick the number lower than 10 that not there yet

i found it in a funny way.. d sum of digits in 2nd quadrant (6+3+1+2) and 3rd quadrant (9+1+1+1) is 12.. so sum f digits in 1st n 4th quadrant must b same,, (2+3+6+7)=18, (1+5+4+?)=18.. thus 8..

In every column , all numbers are a sum of 15 . So 4+1+2=7 . And 15-7=8 so the question mark is replaced by 8

Nah, the answer is 8 because its the only number from the keypad that is missing in the grid.

actually i got very lucky this time, 8 was the only number missing from 1 to 9 :D

each row and column equals 15 so the "?" is 8

1+1+6+7=15 ; 4+1+2=7 ; 15-7=8 ; 5+1+1=7 ; 1+4+9+1=15 ; 9+1+2+3=15 ; 1+5+6+3=15 ; 6+1+2+6=15 ; 3+2+3+7=15 ; so

8 is the answer!

ist clm 1+4+9+1=15,2nd row 4+8+1+2=15, 2nd clm 5+8+1+1=15 every row and clm if we add in this way it give ans 15 thats why 8 is correct ans..............

8 so easy every vertical line sums up to 15 thats why the answer

Soduku but 15 instead of 9

i guessed 8 at first, because i saw most of the pairs across was multiple of 3, and then i saw all of them wasn't pairs of two, but i realized they added up to a multiple of 3, and i soon realized it was adding up to 15 horizontally and vertically

It is a magic square so if every row and column has the same total

In row: 4+8+1+2=15 In Coumn:5+8+1+1=15 Sum of all columns and rows are 15: Ans = 15.

Add up every row of numbers, u will get 15

After looking at other solutions my solution seems too simple as I scanned through all of the numbers to see what appeared (1,2,3,4,5,6,7 and 9). I saw that 8 was missing and as they are all single digits it fitted

sum of column=15

Add all digits vertically or horizontally and it will give you 15... Therefore N=(15)-(5+1+1)

The sum of all the numbers in a horizontal row is 15

1+5+6+3=15 9+1+2+3=15 1+1+6+7=15

Hence, the appropriate value is 8.

It also works with adding all the numbers in a column

sum is Always 15 so 4+1+2+?=15 and 5+1+1+?=15 so the number is 8

From 1 to 9 .. 8 is missing. so I answered 8 Hahahaha!

Eight was the only single-digit number not present.

Sum of no. along the vertical column =15.Hence,5+x+1+1=15;x=8

no of small boxes in a big box is 15 so the sum of each column and row is also 15 in 2nd column ,2nd row we put 8 because 5+8+1+1=15 (2nd column) 4+8+1+2=15(2nd row) so it satisfies in both condition hence the appropriate ans is 8

All rows contains the sum 15. The 2nd column in 2nd row only contains 7 Therefore 15-7=8

every row is equal to 15 then in second row is 7 then adding 8

8 is d answer as sum of all digits in row is 15

between the numbers 1-9, 8 was the only one missing.

sum of the all number in any row or column is equal 15. so in a 2nd row and 2nd column 8 is appropriate value (4+1+2+8=15)

theres no 8

solution:

1 5 6 3 4 x 1 2 9 1 2 3 1 1 6 7

row-1: 1 + 5 + 6 + 3 = 15 row-2: 4 + x + 1 + 2 = x + 7 row-3: 9 + 1 + 2 + 3 = 15 row-4: 1 + 1 + 6 + 7 = 15

col-1: 1 + 4 + 9 + 1 = 15 col-2: 5 + x + 1 + 1 = x + 7 col-3: 6 + 1 + 2 + 6 = 15 col-4: 3 + 2 + 3 + 7 = 15

so observing sum of all rows and columns ---

x + 7 = 15

x = 15 - 7 = 8 (Answer)

sum of numbers of each row and coloumn is 15 so the number is 8

8 is correct answer

8 will be added to make 2nd row and 2nd column 15

By remarkable coincidence, there's an alternative solution. The first column has square numbers only, and to keep the pattern going, you need to break them up into two digits. Nine squared is 81, so the 8 is missing.

solution:

1 5 6 3 4 x 1 2 9 1 2 3 1 1 6 7

row-1: 1 + 5 + 6 + 3 = 15 row-2: 4 + x + 1 + 2 = x + 7 row-3: 9 + 1 + 2 + 3 = 15 row-4: 1 + 1 + 6 + 7 = 15

col-1: 1 + 4 + 9 + 1 = 15 col-2: 5 + x + 1 + 1 = x + 7 col-3: 6 + 1 + 2 + 6 = 15 col-4: 3 + 2 + 3 + 7 = 15

so observing sum of all rows and columns ---

x + 7 = 15

x = 15 - 7 = 8 (Answer) :D

by column or row in anyway you will find the sum of 15 so 4+(8)+1+2 or 5+(8)+1+1 =15

summation of numbers along any row or column is equal to 15.

1 5 6 3 4 x 1 2 9 1 2 3 1 1 6 7

row-1: 1 + 5 + 6 + 3 = 15 row-2: 4 + x + 1 + 2 = x + 7 row-3: 9 + 1 + 2 + 3 = 15 row-4: 1 + 1 + 6 + 7 = 15

col-1: 1 + 4 + 9 + 1 = 15 col-2: 5 + x + 1 + 1 = x + 7 col-3: 6 + 1 + 2 + 6 = 15 col-4: 3 + 2 + 3 + 7 = 15

so observing sum of all rows and columns ---

x + 7 = 15

x = 15 - 7 = 8 (Answer)

sum of no.s in each row and column is = 15

Every column sums up to 15 so with simple arithmetic answer can be obtained

sum along any row or column is 15

1+5+6+3=15 9+1+2+3=15 1+1+6+7=15 so, 15-(4+1+2)=8

sum of any column or row is 15

four square 2) 9+1+1+1=12 and same square 3)6+1+3+2 =12 two square addition are same. now other 4)2+3+6+7 =18 and 1) 1+5+4+? =18 so ans is 8.

Look at the top row, add all the numbers of the top row... So that is 1+5+6+3 this equals 15. Now you need to check if the other rows also add up to equal 15. So let's check the last one. 1+1+6+7 equals 15. So 4+ ? + 1 + 2 must equal 15. Let's treat this like algebra. X being the ?

So... 4 + x + 1 + 2 = 15 X= 15 - 4 - 1 - 2 X= 8 So ? = 8

To check the answer is correct. Add up all the numbers of the second column and see if it adds up to 15.

So : 5 + 8 + 1 + 1=15. So ? Must definitely be 8.

The number 8 is justifiable by line addition, yes. I might add that it was my initial gut reaction for a different reason. It's the only missing integer between the largest and smallest integer. My eye for combinatorics had me asking "where's the 8?".

sum of every row or column is 15 ...... :)

sum of numbers in each column is 15. for the sum to be equal to 15 in column 2, ? has to be replaced with 8

every row and column has a sum of 15.Just sum the second row and subtract it by 15

All rows and columns add up to 15. Therefore the column required is

5+1+1+?= 15.

?=15-5-1-1.

?=8

As simple as that

um of numbers along any row or column is equal to 15.