Missing Numbers Questions

The missing numbers questions and answers provided on this page can assist students in quickly grasping the concept. Students are asked to discover the missing numbers from a sequence of numbers in almost all competitive and board examinations. Students can use these questions to get a fast overview of the topics and practice them so that they are more knowledgeable about the concept. To double-check your answers, look over the complete explanations for each question. Click here to find out more about missing numbers.

What are Missing Numbers?

Numbers which have been missed in numerous similar forms across the series given are known as missing numbers. Identifying connected disparities between certain numbers and filling in the specific series and positions with missing words is defined as the process of writing the missing numbers.

A number set is a collection of numbers that follow a set of rules or formulas. The missing number series is one of the many different types of series. You’ll be given a sequence with one missing number from the missing number series, and you’ll have to find the missing name.

Missing Numbers questions and answers are presented below for you to learn and practice.

Missing Numbers Questions with Solutions

How to Find a Missing Number?

1. Determine whether the numbers are listed in ascending or descending order (small to big numbers) or (big to small number).

2. Determine the differences between the ones that are adjacent to each other.

3. Compute the difference between the numbers to find the missing number.

Also, read:

1. Determine the missing number in the given sequence 1, 3, 5, 7, 11, __, 17, 19

Solution:

Given sequence: 1, 3, 5, 7, 11, ?, 17, 19

The given sequence is in ascending order and it is a prime number list.

As we know, prime numbers are the numbers that are divisible by 1 and the number itself only.

As a result, the missing number in the sequence should be 12.

Hence, the sequence becomes 1, 3, 5, 7, 11, 13, 17, 19.

2. Find the missing number from the following?

6

9

15

8

12

20

4

6

?

Solution:

Using the row-wise logic, we can find the missing number from the given table.

The logic used here is first element in the row + second element in the row = third element in the row:

In first row, 6 + 9 = 15

In second row, 8 + 12 = 20

Similarly, in the third row, 4 + 6 = 10

Hence, the missing number is 10.

3. Find the missing number:

3

=

18

4

=

32

5

=

50

6

=

72

7

=

?

Solution:

Now, let us first find the relation for 3 = 18.

Thus, if we double the square of 3, we get 18.

I.e., 2 × (32) = 2 × 9 = 18

Now, let’s check for second row:

2 × (42) = 2 × 16 = 32

Third row: 2 × (52) = 2 × 25 = 50

Fourth row: 2 × (62) = 2 × 36 = 72

Similarly for fifth row: 2 × (72) = 2 × 49 = 98

Hence, the missing number in the given table is 98.

4. Determine the missing number:

188

300

263

893

?

915

Solution:

First, find the logic for the first row and apply it in the second row to find the missing number.

Logic for first row: (263 – 188) × 4 = 75 × 4 = 300.

Similarly for the second row, we get

(915 – 893) × 4 = 22 × 4 = 88.

Therefore, the missing number is 88.

5. Find the missing number: 195, 383, 575, 763, 955, ___ .

Solution:

Given sequence, 195, 383, 575, 763, 955, ___ .

Go through the given sequence from left to right.

In the given sequence, each number has three digits.

The logic used here is as follows:

  • First digit of the number is increased by 2
  • Second digit of the number is decreased by 1
  • Third digit of the number is decreased and increased by 2 alternatively.

Hence, the missing number in the sequence is 1143.

Therefore, the sequence is 195, 383, 575, 763, 955, 1143.

Also,read: Sequence and Series.

6. Calculate the missing number:

6

1

5

3

9

10

4

3

?

Solution:

Row wise logic used here is First element in the row + Second element in the row – 2 = Third element in the row.

I.e., First row: 6 + 1 – 2 = 7 -2 = 5

Second row = 3 + 9 – 2 = 12 – 2 = 10

Hence, the third row = 4 + 3 – 2 = 7 – 2 = 5.

Therefore, the missing number in the third row is 5.

7. Find the missing number from the sequence: 5, 10, 13, 26, 29, 58, 61, ___.

Solution:

Given sequence: 5, 10, 13, 26, 29, 58, 61, ___.

In the given sequence, the numbers are multiplied by 2 and increased by 3 alternatively.

I.e. Second number in the sequence = 5 × 2 = 10

Third number in the sequence = 10 + 3 = 13

Fourth number in the sequence = 13 × 2 = 26

Fifth number in the sequence = 26 + 3 = 29

Sixth number in the sequence = 29 × 2 = 58

Seventh number in the sequence = 58 + 3 = 61

Hence, the eight number in the sequence = 61 × 2 = 122.

Thus, the missing number is 122.

So, the sequence is 5, 10, 13, 26, 29, 58, 61, 122.

8. Compute the missing number in the sequence: 1, 8, 27, 64, ___, 216.

Solution:

Given sequence: 1, 8, 27, 64, ___, 216.

The logic used here is the cube of the natural numbers.

I.e., 13 = 1

23 = 8

33 = 27

43 = 64

53 = 125

63 = 216

Thus, the missing number is 125.

Hence, the given sequence is 1, 8, 27, 64, 125, 216.

9. Find the missing number:

2

8

9

3

2

4

3

6

?

Solution:

The rows follow a sequence of square numbers such as 172, 182, and 192, if we read each row as a three digit number.

I.e. = 172 = 289

182 = 324

192 = 361.

Hence, the missing number is 1.

10. What number should come next in the sequence 22, 21, 23, 22, 24, 23, __.

Solution:

Given Sequence: 22, 21, 23, 22, 24, 23, __.

In the given sequence, the numbers are decreased by 1 and increased by 2 alternatively.

First number: 22

Second number = 22 – 1 = 21

Third number = 21 +2 = 23

Fourth number = 23 – 1 = 22

Fifth number = 22 + 2 = 24

Sixth number = 24 – 1 = 23

Seventh number = 23 + 2 = 25.

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Practice Questions

  1. Find the missing number in the sequence: 53, 53, 40, 40, 27, 27, ___.
  2. Determine the missing number:
  3. 2

    6

    18

    4

    20

    100

    ?

    21

    147

  4. Find the missing number in the sequence: 664, 332, 340, 170, ____, 89.

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