All About Number Series Questions

Different types of Number Series

Followings are main formats of series which are asked in Exams ▼
1) Perfect Square Series
2) Perfect Cube Series
3) Geometric Series
4) Two (or Multi) stage Type Series
5) Mixed Series

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Perfect Square Series:

This Types of Series are based on square of a number which is in same order and one square number is missing in that given series.

Example 1: 441, 484, 529, 576?

Answer: 441 = 212, 484 = 222, 529 = 232, 576 = 242 , 625 = 252.

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Perfect Cube Series:

This Types of Series are based on cube of a number which is in same order and one cube number is missing in that given series

Example 2: 1331, 1728, 2197, ?

Answer : 113 , 123 , 133 , 143

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Geometric Series:

This type of series are based on ascending or descending order of numbers and each successive number is obtain by multiplying or dividing the previous number with a fixed number.

Example 3: 5, 45, 405, 3645,?

Answer: 5 x 9 = 45, 45 x 9 = 405, 405 x 9 = 3645, 3645 x 9 = 32805.

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Two stage Type Series:

A two tier Arithmetic series is one in which the differences of successive numbers themselves form an arithmetic series.

Example 4: i. 3, 9, 18, 35, 58,——

ii. 6, 9, 17, 23,———-

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Mixed Series:

This type of series are more than one different order are given in a series which arranged in alternatively in a single series or created according to any non-conventional rule. This mixed series Examples are describes in separately.

Examples 5:
11, 24, 50, 102, 206, ?

Answer:
11 x 2 = 22 +2 = 24,
24 x 2 = 48 + 2 = 50,
50 x 2 = 100 + 2 = 102,
102 x 2 = 204 + 2 = 206,
206 x 2 = 412 + 2 = 414.

So the missing number is 414.

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Number Series Quiz

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Directions (1-10): What will come in place of the question marks (?) in the following Number series?

Q1. 

0, 6, 24, 60, 120, 210, ?
A. 336
B. 349
C. 312
D. 337
E. None of these


Q2. 

11, 14, 19, 22, 27, 30, ?
A. 39
B. 34
C. 36
D. 35
E. None of these


Q3.

 6, 12, 21, ? , 48
A. 33
B. 39
C. 36
D. 31
E. None of these


Q4. 

 18, 22, 30, ? ,78, 142
A. 44
B. 35
C. 46
D. 48
E. None of these


Q5. 

 73205, 6655, 605, 55, ?
A. 9
B. 5
C. 13
D. 11
E. None of these


Q6. 

 25, 100, ?, 1600, 6400
A. 400
B. 300
C. 360
D. 420
E. None of these


Q7. 

  125, ?, 343, 512, 729, 1000
A. 216
B. 215
C. 256
D. 225
E. None of these


Q8. 

 1 , 9 , 125 , 343 , ? , 1331
A. 730
B. 729
C. 512
D. 772
E. None of these


Q9. 

 121, 144, 169, ?, 225
A. 180
B. 172
C. 186
D. 196
E. None of these


Q10. 

 ?, 2116, 2209, 2304, 2401, 2500
A. 2124
B. 1972
C. 1521
D. 2025
E. None of these

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Answers with Explanation:-


1. (A)
The given series is : 13 – 1, 23 – 2, 33 – 3, 43 – 4, 53 – 5, 63 – 6,
So the missing term = 73 – 7 = 343 – 7 = 336 .


2. (D)
The pattern is + 3, + 5, + 3, + 5, …………
So the missing term is = 30 + 5 = 35 .


3. (A)
The pattern is + 6, + 9, + 12, +15 ………..
So the missing term is = 21 + 12 = 33 .


4. (C)
The pattern is +4, +8, +16, +32, +64
So the missing term is = 30 + 16 = 46 .


5. (B)
5 x 11 = 55, 55 x 11 = 605, 605 x 11 = 6655, 6655 x 11 = 73205


6. (A)
25 x 4 = 100, 100 x 4 = 400, 400 x 4 = 1600, 1600 x 4 = 6400.


7. (A)
125 = 53 , 216 = 63, 343 = 73, 512 = 83, 729 = 93, 1000 = 103.


8. (B)
13 , 33 , 53 , 73 , 93 , 113


9. (D)
121 = 112, 144 = 122, 169 = 132, 196 = 142, 225 = 152.


10. (D) 2025 = 452, 2116 = 462, 2304 = 482, 2401 = 492, 2500 = 502