Column Wise, First Element + Second Element = Third Element 48 + 24 = 72 30 + 15 = 45 So, 20 + 10 = 30. Required Number = 30

Reading each pair of numbers as 2 digit values, the sum of the 4 numbers is given in the top space in the diagram. I.e 156 = 26 + 31 + 45 + x x = 54. So, missing number = 4.

Working from top to bottom, The sum of the numbers in each row is put in the left hand box on the row below, and the difference between the two numbers in each row is put in the right hand box on the row below. I.e. Row one First Element + Row one second element = Row two first Element. Difference of first row elements = Row two second Element. And So on. Thus, Row fifth first element + row fifth second element = Row sixth first element 32 + 12 = 44 And, 32 - 12 = 20 ( Row sixth second element).

Logic: In each row, Center Element = Sum of other elements - 2 So required element, = 5 +4 +3 + 9 + 2 + 1 -2 = 24 - 2 = 22.

Row-wise: First Element + Second Element - 2 = Third Element. 6 + 1 - 2 = 5 3 + 9 - 2 = 10 4 + 3 - 2 = x x = 5. Required Number = 5.

From left to Right, Numbers follow the sequence of multiples of 14, from 112 to 182, with each value being written back to front. I.e 112 = 211 126 = 621 140 = 041 154 = 451 168 = 861 and, 182 = 281 So, required number = 281.

Reading each row as a 3 or 2 digit number, subtract the central 2 digit value from the upper 3 digit value, to give the 3 digit result on the lower row. I.e. 239 - 97 = 142. So, required Missing number is 2.

Logic: First number + Second Number - 4 = Third Number. 7 +8 = 15 - 4 = 11 11 + 8 = 19 - 4 = 15 11 + 15 = 26 - 4 = 22 15 + 22 = 37 - 4 = 33 Required Number = 33.

In each diagram, the sum of the top two and middle digits equals the sum of the lower 2 digits. I.e Sum of Upper elements + middle element = Sum of the lower elements In first Diagram, 5 + 3 + 12 = 14 + 6 = 20 Second Diagram, 4 + 4 +2 = 5 + 5 = 10 Third Diagram, 6 + 1 + 8 = 12 + x x = 3. Required Element = 3.

Starting with the left hand circle, add 4 to each number and rotate their positions 1 place clockwise to give the values in the upper right hand circle. And then add 5 to each of these values and rotate their positions 1 place clockwise to give the values in the lower right hand circle. So, Missing Number = 5 + 5 = 10.

Logic: Left Segment Number + Right Segment Number + 3 = Lower Segment Number So, 6 + x + 3 = 15 x = 6. Missing Number = 6.

Sum of the element of the circle following the sequence 10, 12, 14, 16 and 18. 3 + 1 + 4 +2 = 10 2 + 2 + 8 + 0 = 12 7 + 1 + 5 + 1 = 14 6 + 4 + 3 + 5 = 18 So, 2 + 3 + x + 10 = 16 x = 1 Missing Number = 1

Logic (Row-wise): First Number * 2 = Second Number Second Number +3 = Third Number Thus, Missing Number, 5 *2 = 10 + 3 = 13.

Number at lower segment = 2 * difference of number in left segment and right segment. 10 - 4 = 6 Let missing number is x. x = 2 *6 = 12.

Logic (Column-wise): First Element + 4 = Second Element Second Element + 6 = Third Element. 3 + 4 = 7 +6 = 13 5 +4 = 9 + 6 = 15 So, 1 + 4 = 5 + 6 = 11. Missing Number= 11.

Logic: Sum of First Diagonal Element = Sum of Second Diagonal Elements. 5 + 12 + x = 7 + 12 + 2 17 +x = 21 x = 4. Missing Number = 4

Logic: (First Number/2) + Second Number = Third Number. 12/2 + 8 = 14 8/2 + 14 = 18 14/2 + 18 = 25. So, Required Number = 25.

Split the diagram into two halves vertically, consisting of 2 columns of 2 squares each. And read each 2 adjoining squares as a complete 2 digit number. Numbers follow the sequence of multiples of 7, subtracting 1 each time. 14 - 1 = 13 21 - 1 = 20 28 - 1 = 27 35 - 1 = 34 42 - 1 = 41 49 - 1 = 48 56 - 1 = 55 So, 63 - 1 = 62. Missing element = 2.

Moving left to right, numbers represent the reverse alphabetical values of the 5 vowels. So, At missing place, the last vowel U will come. I.e. Alphabetical order = 21 and reverse of this would be 6.

Logic (Row-wise): Sum of the Even Numbers - Sum of the Odd Numbers = 10. 18 - (7 + x) = 10 - 7 - x = - 8 x = 1.

In each diagram, read the upper and lower pairs of numbers as 2 digit values and add these together to give the result written at the top. 15 + 22 = 37. 38 + X = 92. X = 92 - 38 = 54. Missing Element = 4.

Starting with the numbers in the top row, left to right, multiply each one by 2 and write the results in the lower row, from right to left. So, Missing Element = 3 * 2 = 6.

In each row, add together the left and right hand numbers, then add 2 to give the central value.

Start with 1 and move clockwise. Multiply the previous number by 2 and add 4 to give the next number around.

Working in rows, add the left and right hand values together and subtract 3 to give the number in the center of each row. So, Row wise : 1st column number + 3rd column number - 3 = 2nd column number 1st row : 7 + 8 - 3 = 12 2nd row : 1 + 6 -3 = 4 Similarly last row : 12 + X - 3 = 13. X = 4.

Add together the four outer numbers of each grid. This answer is the central number of the grid one place further clockwise. So, 8 +3 + 6 + x = 21 x = 21 - 17 = 4 Missing Element = 17.

Working in columns, the sum of the numbers in each column equals 23. So, 9 + 3 + 1 + x = 23 x = 10. Missing Element = 23.

In each shape, use the left and right hand numbers as a source. The upper central number equals the sum of the left and right hand numbers, the middle central number equals the product of the left and right hand numbers, and the lower central number equals the difference between the left and right hand numbers.

The values in the segments of the upper middle circle equal the sum of the values in corresponding segments of the upper left and right hand circles. The values in the segments of the lower middle circle equal the difference between values in corresponding segments of the lower left and right hand circles. So, 12 - 7 = x x = 5.

Split the diagram into 2 halves vertically, each 3 columns wide. Numbers in the left hand half follow the sequence of cubed numbers, from 64 to 729, and numbers in the right hand half follow the sequence of squared numbers, from 121 to 256.