SNAP Number in Grid Questions

5x4=20

3x8=24

9x4=36

Option A

Sum of each column:

4, 9, 16,__, 36....

Thus the sum of column 4 = 25

2+10+x=25

x=13

Thus, Option C is correct.

The values in the middle column are the average of the sum of values on both sides.

(4+2)/2 = 3

(5+3+1+1)/2 = 5

(6+1+2+3+3+1)/2 = 8

.....

(9+3)/2=6

Option D 

102+9+90 = 201

203+70+7 =280

In every column of the given table, the value in Row 2 is '2 subtracted from the sq. of the corresponding value of Row 1'. So, corresponding to '8' in the 1st row, (8^2 - 2) = 62 will be the value in row 2.

The table can be read row-wise. The first number when multiplied with the half of the third number, gives the second number, i.e.

17*(12/2)= 17*6= 102

Similarly for the second row, 15*(10/2)= 15*5= 75 - Option B 

The table can be read row-wise. The first number when multiplied with third number, and then doubled, gives the second number, i.e.

12*14*2= 336

Similarly for the second row, 15*16*2= 480 - Option B

After close observation, we can see how the table is read column-wise. In the first column, when we add the first two numbers and multiply the result with the third number, we get the fourth number, i.e. (8+5)*3= 39. Similarly for all other column, the reasoning follows. Hence, the blank can be best filled as (5+4)*8= 72. Therefore, Option B.

Let the average of the number of each row and column be integer denoted by $$x$$

Then the sum of numbers in Row 1 = $$4x$$.

Similarly for row 2 and row 3 the sum will be $$4x$$ each. Hence the sum of all the numbers in the table is $$12x$$.

Let $$N$$ be the number only number that is left out of the table.

Then, (1+2+3+4+5+7+9+10+11+12+13+14+15 -N) = $$12x$$ 

$$106-N\ =\ 12x$$

Since $$x$$ is integer then $$Remainder\left(\ \frac{\ 106-N}{12}\right)=0$$

$$Remainder\left(\ \frac{\ 10-N}{12}\right)=0$$

Hence N has to be 10 which is left out. And average of each row and column will be $$\ \frac{\ 106-10}{12}=\ \frac{\ 96}{12}=8$$

Upon solving the table will look as follows