Logic: Reading each row of the diagram as a series of 3 digit numbers, the center 3 digit number equals either the sum of the top 2 numbers or the sum of the lower 2 numbers.
Sum of top two numbers
179 + 363 = 542

Sum of lower two numbers
275 + 26X = 542 26X = 542 - 275 26X = 267
X = 7
Missing number = 7

Start with the top left hand box, and move around the others in a clockwise spiral towards the centre. Read each box as a pair of 2 digit numbers, one above the other. The sum of the 2 digit numbers in each box follows the sequence 55, 60, 65, 70 and 75. So, 43 + 3X = 75 3X = 32 Thus, X = 2
Missing number = 2

Logic: Central Element = (Sum of other 4 element)/4 Thus, (x + 21 + 16 + 5)/4 = 12 x = 48 - 42 x = 6. Missing element = 6.

For First Circle: Left segment element * right segment Element - 3 = Lower number 3 *7 - 3 = 18. For Second Circle: Left segment element * right segment Element - 4 = Lower number 8 *2 - 4 = 16. For Third Circle: Left segment element * right segment Element - 5 = Lower number x = 9 *3 -5 x = 22. Missing number = 22.

Logic: Divide each circle in two equal circle vertically. Now, Sum of the left hand element in first circle = Top left hand element in middle circle. 3 +2 + 8 = 13 Sum of the right hand element in first circle = bottom left hand element in middle circle. 6 + 9 + 1 = 16 Sum of the left hand element in Third circle = Top right hand element in middle circle. 4 + 5 + 2 = x x = 11. Missing element = 11.

Logic: The inner digit in each segment equals the sum of the two numbers in the outer part of the opposite segment. Thus, 2 +x = 9 x = 7. Missing number = 7.

The diagram represents a multiplication sum : 128 x 2 = 256.

Logic: Lower Element = Top element - left element - right Element Thus, x = 12 - 5 - 3 x = 4. Missing number = 4.

Logic (Row-wise): Element at Middle = Difference of two left element + difference of two right element. Thus, x = 5 - 1 + 4 -1 x = 4 + 3 x = 7. Missing number = 7.

Logic (Left to right): 1st digit of the each number increases by 2, Middle digit decreases by 1 and the last digit decreases by 2 and increases by 2 alternatively. Number after 955 would be 1143.

1st element in 3rd circle = 1st element in 1st circle + 1st element in second circle = 1 + 6 =7 2nd element in 3rd circle = 2nd element in 1st circle + 2nd element in second circle = 3 +5 = 8 Same way, 2 +6 = 8 and 7 + 1 = 8. In 4th Circle, 1st element = Difference of 1st element of 1st circle and 2nd circle = 6 -1 = 5 2nd element = Difference of 2nd element of 1st circle and 2nd circle = 5 -3 = 2 3rd element = Difference of 3rd element of 1st circle and 2nd circle = 7 - 1 = 6. So, required element = 6.

On each row, add the values of the left hand and central boxes to give the value in the right hand box. So, Missing Number = 1 + 5 = 6.

Logic: In each row of each grid, multiply the left and right hand numbers together to give a digit value, and write this value in the two centre boxes. Thus, Central Element in last box = 6 * 5 = 30. Missing element = 0.

Starting with the 10 at the top, one set of numbers increases by 3 each time, written in alternate boxes as you move down the diagram, and the other set of numbers decreases by 2, written in the boxes remaining. So, Required Number = 4 - 2 = 2

Center of the Triangle = (Sum of the vertices )/2 1st Triangle 4 = (4 +3 +1)/2 2nd Triangle 10 = (7 +7 +6)/2 So, 6 = (5 + 3 +x)/2 Or, 12 = 8 +x x = 4.

In each star diagram, the number in the centre equals the sum of the top three numbers, subtracting the sum of the bottom two numbers. Thus, Missing Number = 6 + 9 + 2 - 4 + 3 = 10.

1st Column: It follows sequence of the prime numbers i.e 2, 3 and 5. 2nd Column It also follows sequence of the prime number i.e 7, 11 and 13. 3rd Column: So, it also follows prime number sequence. 17, 19 and 23.

Logic: Element at the Center = Sum of even numbers - Sum of odd numbers or Sum of odd numbers - Sum of even numbers For 1st Star 8 = (6 +2 +4) - (3 +1) 2nd Star 6 = (11 +9) - (4 +8 +2) 3rd Star x = (5 + 5 +7) - (10 +2) x = 5 So, required number = 5.

Reading each row as 3 separate 2-digit numbers, the central number equals the average of the left and right hand numbers. So, (15 +x)/2 = 48 15 + x = 96 x = 81. Missing Numbers = 8 ,1.

Reading each pair of numbers as a 2 digit number, they follow the sequence of square numbers from 6 to 9. Thus, Last row = 9 * 9 = 81. Missing number = 1.

In each triangle, the number at the apex of the triangle equals the average of the two numbers at the bottom. So, (5 + x)/2 = 5 5 + x = 10 x = 5. Missing number = 5.

Taking the top row of circles, numbers in the central circle equal the sum of the numbers in corresponding segments of the left and right hand circles. In the bottom row, numbers in the central circle equal the difference between numbers in corresponding segments of the left and right hand circles.

The left hand circle element = difference of the number of two circle in their corresponding segment. Let X is missing. Then its corresponding element in other two circle are 6 and 16. So, X = 16 - 6 = 10.

Starting at the top left, and moving through the diagram in a Z shape, double each number and add 3 to give the next number along. So, Required number = 2 * 125 + 3 = 253.

Moving to the right, double each number and subtract 3 to give the next number. So, Missing Number = 27 *2 - 3 = 54 - 3 = 51.

First column => 11² - 1² = 120. Second Column => 7² - 2² = 45. Third column => 5² - 3² = 16

Logic (Row-wise): (First Element / Second element) * 2 = Third Element. So, (108/x) * 2 = 18 x = 12. Missing Number = 12.

Second Row, 2*9 + 3*17 = 69.

Third Row, 2*13 + 3*11 = 59.

Let missing number be x,
2x + 3*13 = 49.

or, x = 5.

First row : 12 /4 = 21 /7.

Second row : 10 /5 = 4 /2.

Third row : 64 /8 = 24 /3.

So, required missing character = (83).

First row → (263 -188) *4 = 300.

Thus, Second Row → (915 -893) *4 = 22 *4 = 88.