Missing Terms in figures forms a section of the series completion section of the reasoning ability. In Missing terms in figures, questions will appear that will have a missing figure. The other figures follow an arrangement that is made on the basis of a rule. You will have to detect these rules and predict the missing figures. Let us see this in the following section!

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## Missing Terms In Figures

In figure based series, you will have a missing term in figures and you will be asked to solve the series based on the figures and alphabets given in the question. Candidate needs to establish the pattern or relationship between these numbers and then apply the same to find the missing numbers. You will a partially filled chart or table. You need to fill it completely with the given information. Here are some of the examples that will help you to understand the topic better.

## Examples Of Missing Terms In Figures

Q. In the figure below, each of the nine boxes must be filled with an integer from 1 to 9, so that each row and column are equal. No repetition is allowed. What will be the value of a + b?

8 | y | |

x | ||

4 | 9 | 2 |

Now, in this question, along with the missing integers we need to make sure that the total value of each row and column must be equal. There are already 4

integers given to us, we need to find the remaining 5 and make sure that no other integer is repeated.

From the question, the bottom row has a total value of 15. Thus, all the rows in the square must have a total value of 15. The numbers remaining are 1, 3, 5, 6, and 7 we need to put these numbers in the boxes without repeating them. In the first column, there are two numbers 8 and 4 are given, the only number that gives a total value of 15 is 3. So, x = 3. Now of the remaining numbers, we need to find a balance.

In first row 8 is given so we need to find two numbers whose total value is 7. So, the numbers are 1 and 6. Thus we are left with 5 and 7 in the second row. But in the second box of the second row, you cannot put 7 as 9 is immediately below it. So, 7 comes in the third box of the second row and 5 in the second box. And thus 1 is placed in the second box of the first row and 6 in the final box. So now we also have the value of y which is 6. So, x + y = 9.

## Examples OfÂ Shapes

Q. In the given figure below, find the value of â€˜?â€™.

A. 18Â Â Â Â B. 19Â Â Â Â Â C. 17Â Â Â Â Â Â D. 12

Answer: In this figure, as the numbers are given in the form of a circle look out for a clockwise or anticlockwise direction. Here, start at 2 and see the numbers after every two spaces in the clockwise direction. You will notice a series forming. Just add three to all the numbers and you will get that number after two spaces. Thus in place of ?, 17 will be the number. Because when you add 3 to 14 you will get 17. So, the correct answer is C.

Q. Find the value of X in the given figure below.

A. 3Â Â Â Â Â Â Â Â B. 4Â Â Â Â Â Â Â Â Â Â Â C. 12Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â D. 8

Answer: In this question, you will notice that the top left-hand number i.e. 15 is a summation of 12 and 3 which are the bottom-most numbers. Similarly, adding 22 and 11 given in the second last row we will get 33. While the numbers on the right-hand side can be obtained by dividing the bottom numbers with each other.We can divide 12 and 3 which are the bottom-most numbers and obtain 4 which is on the topmost right side.

Thus try this for every number on the left-hand side as well as on the right-hand side. For the value of x, 32 + x is 36. So, x is 4. Also, 32/4 = 8. So, the correct answer is B.

### Practice Questions

Q. Find the missing character in the below figure:

72 | 24 | 6 |

96 | 16 | 12 |

108 | ? | 18 |

A. 12Â Â Â Â Â Â Â Â Â Â B. 16Â Â Â Â Â Â Â Â Â Â Â C. 18Â Â Â Â Â Â Â Â Â Â Â D. 20

Ans: A) 12

Q. What will the integer in place of ‘?’ in the given figure below?

A. 22Â Â Â Â Â Â Â Â Â B. 14Â Â Â Â Â Â Â Â Â Â Â C. 320Â Â Â Â Â Â Â Â Â Â D. 32

Ans: D) 32

Q. The diagram below shows a square which has some characters in it. Based on the relationship between the given alphabets fond the ‘?’ character.

B | G | N |

D | J | R |

G | N | ? |

A. VÂ Â Â Â Â Â Â Â Â Â B. XÂ Â Â Â Â Â Â Â Â Â C. UÂ Â Â Â Â Â Â Â Â Â Â Â Â Â D. W

Ans: D) W

Q. Two squares and the numbers given in the figure. Find the number that will use in place of ‘?’ number?

A. 142Â Â Â Â Â Â Â Â Â Â B. 127Â Â Â Â Â Â Â Â Â Â Â Â C. 198Â Â Â Â Â Â Â Â Â Â Â D. 158

Ans: A) 142

There are a number of errors on this page:

In example 2:

“You can see that each of the numbers is a square and that the sequence is a perfect square series. 1, 22, 32, 42 (=16). The alphabet that corresponds to 16 is P. ”

should read

“You can see that each of the numbers is a square and that the sequence is a perfect square series. 1, 2×2, 3×3, 4×4 (=16). The alphabet that corresponds to 16 is P. ”

(I suspect that the original text from which this was prepared used superscript but this has not been reflected in the online version, so use “2×2” or “2^2” which most people are familiar with from Excel)

In Circular Arrangement Series:

“These type of questions are similar to the ones we saw earlier. But there our numbering scheme would stop at 26 with X.”

should read

“These type of questions are similar to the ones we saw earlier. But there our numbering scheme would stop at 26 with Z.”

In example 3:

“Answer: The lesser the number of alphabets present, the greater the difficulty of the question. Here you see that V and A have a difference of 4 alphabets between them. Similarly, A and H have a difference of 6 alphabets between them if we follow the circular order of the alphabets. Thus the next alphabet will have to have a difference of 8 alphabets with H. This alphabet is Q. Thus the series is V, A, H, Q. Therefore the correct option is s) P.”

should read

“Answer: The lesser the number of alphabets present, the greater the difficulty of the question. Here you see that V and A have a difference of 4 letters between them. Similarly, A and H have a difference of 6 letters between them if we follow the circular order of the alphabets. Thus the next alphabet will have to have a difference of 8 letters with H. This letter is Q. Thus the series is V, A, H, Q. Therefore the correct option is d) P.”

In example 4:

“Answer: We will have to figure out the rule to every sequence. If you use the table, you will see that it becomes much more convenient to guess the rule. For example, in the first series, Q = 17; T = 20, X = 24; C = 29 [circular alphabet order]. Thus it forms a series under the rule. Similarly for the second option, F 6, P = 16, Z = 26 and J = 36. It also forms a correct sequence. Let us see the third one i.e. W = 23; U = 21; R = 18; and N = 14. So it is a wrong sequence. In place of N = 14, we should have had O.

That means the only series here that has a wrong term should be d). Let us check it. We have A = 1, L = 12, W = 23, H = 34.

should read

Answer: We will have to figure out the rule to every sequence. If you use the table, you will see that it becomes much more convenient to guess the rule. For example, in the first series, Q = 17; T = 20, X = 24; C = 29 [circular alphabet order]. Thus it forms a series under the rule. Similarly for the second option, F 6, P = 16, Z = 26 and J = 36. It also forms a correct sequence. Let us see the fourth one i.e. A = 1, L = 12, W = 23, H = 34 which is a correct sequence.

Let us see the third one i.e. W = 23; U = 21; R = 18; and N = 14. So it is a wrong sequence. In place of N = 14, we should have had O.

Kind regards,

Alan

PS If you have other material that needs proof-reading I am frequently called upon to spot typos and grammatical errors in texts of all types including dense technical ones.