Series based questions MBA CET and NMAT SNAP TISS CMAT Bank PO and other exams

### All About Number Series

__What is Number Series?__

Number series is a arrangement of numbers in a certain order, where some numbers are wrongly put into the series of numbers and some number is missing in that series, we need to observe and find the accurate number to the series of numbers.

In competitive exams number series are given and where you need to find missing numbers. The number series are come in different types. At first you have to decided what type of series are given in papers then according with this you have to use shortcut tricks as fast as you can .

__Different types of Number Series__

There are some format of series which are given in Exams.

__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 = 21^{2}, 484 = 22^{2}, 529 = 23^{2}, 576 = 24^{2 }, 625 = 25^{2}.

__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 :** 11

^{3}, 12

^{3}, 13

^{3}, 14

^{3}

__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.

__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,——

- 6, 9, 17, 23,———-

__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.

**Number Series Quiz**

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

- 0, 6, 24, 60, 120, 210, ?
- 336
- 349
- 312
- 337
- None of these

- 11, 14, 19, 22, 27, 30, ?
- 39
- 34
- 36
- 35
- None of these

- 6, 12, 21, ? , 48
- 33
- 39
- 36
- 31
- None of these

- 18, 22, 30, ? ,78, 142
- 44
- 35
- 46
- 48
- None of these

- 73205, 6655, 605, 55, ?
- 9
- 5
- 13
- 11
- None of these

- 25, 100, ?, 1600, 6400
- 400
- 300
- 360
- 420
- None of these

- 125, ?, 343, 512, 729, 1000
- 216
- 215
- 256
- 225
- None of these

- 1 , 9 , 125 , 343 , ? , 1331
- 730
- 729
- 512
- 772
- None of these

- 121, 144, 169, ?, 225
- 180
- 172
- 186
- 196
- None of these

- ?, 2116, 2209, 2304, 2401, 2500
- 2124
- 1972
- 1521
- 2025
- None of these

**Answers with Explanation:-**

- (A)
The given series is : 1

^{3}– 1, 2^{3}– 2, 3^{3}– 3, 4^{3}– 4, 5^{3}– 5, 6^{3}– 6,

So the missing term = 7^{3}– 7 = 343 – 7 = 336 .

- (D)

The pattern is + 3, + 5, + 3, + 5, …………

So the missing term is = 30 + 5 = 35 .

- (A)

The pattern is + 6, + 9, + 12, +15 ………..

So the missing term is = 21 + 12 = 33 .

- (C)

The pattern is +4, +8, +16, +32, +64

So the missing term is = 30 + 16 = 46 .

- (B)

5 x 11 = 55, 55 x 11 = 605, 605 x 11 = 6655, 6655 x 11 = 73205

- (A)

25 x 4 = 100, 100 x 4 = 400, 400 x 4 = 1600, 1600 x 4 = 6400.

**(A)**

125 = 5^{3} , 216 = 6^{3}, 343 = 7^{3}, 512 = 8^{3}, 729 = 9^{3}, 1000 = 10^{3}.

**(B)**

1^{3} , 3^{3} , 5^{3} , 7^{3} , 9^{3} , 11^{3}

- (D)

121 = 11^{2}, 144 = 12^{2}, 169 = 13^{2}, 196 = 14^{2}, 225 = 15^{2}.

- (D)

__ __2025 = 45^{2}, 2116 = 46^{2}, 2304 = 48^{2}, 2401 = 49^{2}, 2500 = 50^{2}

__TIME TAKEN__

Within 5 min : EXCELLENT

5-8 min : YOU CAN DO BETTER

More than 8 min : YOU NEED TO WORK HARD

Series based questions MBA CET

Logical Reasoning Alphanumeric Series based questions ability Test :

Series based questions MBA CET

1. 4, 7, 12, �.., 28, 39

19

24

14

16

None of these

ANSWER : 19

Explanation : . Series proceeds with a difference of 3, 5, 7, 9, 11, respectively. Hence, the missing number will be 19.

2. 8, 4, 12, 6, 18, �.., 27

10

12

18

24

None of these

ANSWER : None of these

Explanation : . 3rd, 5th and 7th numbers are the sums of preceding two numbers. Hence, the missing number is 9 as 18 + 9 = 27.

3. 45, 54, 47, �.., 49, 56, 51, 57, 53

48

55

50

53

None of these

ANSWER : 55

Explanation : . There are two alternate series in the single series, one of them moves with a difference of one number starting with 45, and another is a consecutive series starting with 54. Hence, the missing number will be 55

4. 2, 6, 12, 20, �.., 42, 56, 72, 90

20

21

30

12

23

ANSWER : 30

Explanation : . Series moves with the increasing difference by 2 i.e., 4, 6, 8, 10, 12�.. Therefore, the missing number will be 30.

5. 2, 9, 23, 3, 8, 25, 4, �, 27

7

29

23

14

20

ANSWER : 7

Explanation : . There are three alternative series 2, 3, 4 � (consecutive numbers), 9, 8, 7 �. (consecutive number in descending order), and 23, 25, 27, � Hence, 7 will come in place of the missing number.

6. 6, 126, �., 9, 108, 12, 7, 133, 19, 12, 72, 6

21

23

30

35

40

ANSWER : 21

Explanation : . Number between 1st and 3rd, 4th and 6th, 7th and 9th is the product of the adjacent numbers. Hence the missing number will be 126/6 = 21.

7. 2, 3, 5, 9, 17, 33, �..

85

37

63

64

65

ANSWER : 65

Explanation : . Series moves with a difference of 1, 2, 4, 8, 16, 32. Hence, the missing number is 65.

8. 6, 9, 15, 27, �.., 99

51

34

37

84

None of these

ANSWER : 51

Explanation : . Series proceeds with a difference of 3, 6, 12, 24, 48, respectively. Hence, the missing number will be 51.

9. 17, 7, 24, 19, 9, 28, �., 8, 31, 27, 10, 37

20

21

18

12

23

ANSWER : 23

Explanation : . Each 3rd number is the sum of preceding two numbers. i.e., 17 + 7 = 24, 19 + 9 = 28, 23 + 8 = 31. Hence, the missing number will be 23

10. 121, 112, �., 97, 91, 86

102

108

99

104

101

ANSWER : 104

Explanation : . Series is written in descending order with a difference of 9, 8, 7, 6 and 5, respectively. Hence, the missing number will be 104.

11. 16, 22, 34, 58, 106, �, 394

178

175

288

170

202

ANSWER : 202

Explanation : . Series moves with a difference of 6, 12, 24, 48, 96. Hence, the missing number is 202.

12. 5, 7, 11, 19, 35, 67, �., 259

64

131

135

32

None of these

ANSWER : 131

Explanation : . Series moves with a difference of 2, 4, 8, 16, 32, 64. Hence, the missing number will be 67 + 64 = 131.

13. 2, �., 8, 16, 32, 64, 128, 256

2

3

5

4

None of these

ANSWER : 4

Explanation : . Each number of the series is the double of the preceding number. Hence, the missing number will be 4.

14. 3, 128, 6, 64, 9, �., 12, 16, 15, 8

32

12

108

72

64

ANSWER : 32

Explanation : . There are two alternate series � one, 3, 6, 9, 12,15 and the other 8, 16, 32, 64, 128 (every number is double of preceding number). Hence, the missing number will be 32.

15. 4, 7, 11, 18, 29, 47, �., 123, 199

76

70

84

102

95

ANSWER : 76

Explanation : . 3rd number is the sum of 1st and 2nd, 4th number is the sum of 2nd and 3rd, 5th number is the sum of 3rd and 4th and so on. Hence, missing number will be 29 + 47 = 76