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Number Series Reasoning

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Series and Number Puzzle Type II: Number Series

  • This online quiz will test your knowledge of Series and Number Puzzle in Reasoning Ability.
  • This Online Test is useful for academic and competitive exams.
  • Multiple answer choices are given for each question in this test. You have to choose the best option.
  • After completing the test, you can see your result.
  • There is no negative marking for wrong answers.
  • There is no specified time to complete this test.

What is the next number in this sequence?

1, 3, 8, 19, 42, 89, ..?..

Each of the numbers is doubled and 1, 2, 3, 4, 5, 6 is added in next term,
so, 89 × 2 + 6 = 184.

Which is the number that comes next in this sequence?

5, 16, 51, 158, ..?..

16 = 5 × 3 + 1, 51 = 16 × 3 + 3, 158 = 51 × 3 + 5
∴ Next term = 158 × 3 + 7 = 481

Which one of the numbers will complete the series?

8, 13, 10, 15, 12, 17, 14 ..?..

Second term is greater than first term by 5, while the third term is less than the second term by 3. The same order is repeated.

Which one of the numbers will complete the series?

6.25, 9, 12.25, 16, 20.25, 25, 30.25, ..?..

There are two alternate series
Series I: 6.25, 12.25, 20.25, 30.25 (sequence is +6, +8, +10)
Series II: 9, 16, 25, 36, (sequence is +7, +9, +11)
series-24567.png

What number will come next in the following series?

2, 2, 4, 4, 6, 8, 8, ..?..

The given series consists of 2 series
(i) 2, 4, 6, 8 .............
(ii) 2, 4, 8 .............
Series (i) → 2× 1, 2 × 2, 2 × 3 , 2 × 4 .......
Series (ii) → 2, 2× 2, 4 × 2, 8 × 2 = 16 .......

What number will come next in the following series?

2, 12, 36, 80, 150, ..?..

1³ + 1² = 2, 2³ + 2² = 12, 3³ + 3² = 36 and so on
∴ 6³ + 6² = 252

Which number will come next in the following set of numbers

3, 13, 53, 213 ..?..

The difference in consecutive numbers follows the sequence, 10, 40, 160.
So the next difference = 160 × 4 = 640
Therefore number = 213 + 640 = 853.

Which number will come next in the following set of numbers?

2, 5, 7, 12, 15, 17, 22 ..?..

2+3 = 5, 5+2 = 7, 7+5 = 12, 12+3 = 15, 15+2 = 17, 17+5 = 22.
Note that 3,2,5 are being added that order to various numbers to get the next number. Therefore, 3 should be added to 22 to get the answer.

Which number will come next in the following series

8,15,28,53, ..?..

8 × 2 – 1 = 15,
15 × 2 – 2 = 28,
28 × 2 – 3 = 53,
53 × 2 – 4 =102

Which number will come next in the following series

3, 12, 27, 48, 75, 108, ..?..

The numbers are 3 × 1², 3 × 2², 3 × 3², 3 × 4², 3 × 5², 3 × 6², ......
∴ Missing number = 3 × 7² = 3 × 49 = 147

Which numbers will come next in the following series?

1, 8, 9, 64, 25, 216, ..?.., ..?..

The odd terms are squares of the numbers 1, 3, 5, .... while the even terms are cubes of the numbers 2,4,6,....

Which number will fit in the following series

3, 15, 4, 16, 5, 17, 6, ..?.., 7

There are two alternate series.
1st series : 3, 4, 5, 6, 7 ........ and so on.
2nd series : 15, 16, 17,18, 19 ....... and so on.

Find the missing term in the following series.

240, ..?.. 120, 40, 10, 2

Ratios of two consecutive terms are
1, ½, ⅓, ¼, and ⅕ respectively.

Which number will fit in the following series?

0, 7, 26, ..?.., 124, 215

Clearly the given series is 1³ – 1, 2³ – 1, 3³ – 1, 4³ – 1, 5³ – 1, 6³ – 1.
So, the missing number is 4³ – 1 = 63.

Which number will fit in the following series?

4, 16, 36, ..?.., 100, 144

The numbers in the series are square of 2,4,6 ...,10,12 .
Therefore, the missing number is square of 8 i.e., 8² = 64.

Find the missing number in the series :

6, 12, 21, ..?.., 48

The common differences between the consecutive terms of the series are 6, 9, 12, 15, etc.

Which one number does not belong to the series?

3, 5, 8, 11, 17, 23

Differences between two consecutive terms are 2, 3, 4, 5 and 6 respectively.

Which one number does not belong to the series?

905, 180, 175, 35, 30, 6, 1

The sequence followed in the series is ÷5, –5 which is repeated.
series-24484.png
∴ 900 should be in place of 905.

Which one of the numbers is wrong in the series given below ?

3, 2, 8, 9, 13, 22, 18, 32, 23, 42

There are 2 series :
3, 8, 13, 18, 23 and 2, 12, 22, 32, 42. Hence 9 is wrong.

Which one of the numbers is wrong in the series given below?

12, 18, 27, 90, 270, 945, 3780

If 27 is replaced by 36, then the ratios of two consecutive terms are 3/2, 2, 5/2, 3, ...

Find the wrong number in the series :

7, 28, 63, 124, 215, 342, 511

The series is
2³ – 1, 3³ – 1, 4³ – 1, 5³ – 1, 6³ – 1, 7³ – 1, 8³ – 1

Which one number does not belong to the series?

11, 2, 21, 3, 32, 4, 41, 5, 51, 6

The given sequence is a combination of two series:
I. 11, 21, 32, 41, 51 and II. 2, 3, 4, 5, 6
Clearly, the pattern in I is +10
So, 32 is wrong and should be replaced by (21 + 10) i.e., 31.

Which one of the numbers is wrong in the series given below?

89, 78, 86, 80, 85, 82, 83

The sequence is –11, +9, –7, +5, –3, +1
So, 86 is wrong and should be replaced by (78 + 9) i.e., 87.

Which one of the numbers is wrong in the series given below?

5, 10, 17, 24, 37

The sequence is +5, +7, ...... .
So, 24 is wrong and should be replaced by (17 + 9) i.e., 26.

Now check your Result..

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