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Series Completion


Directions to solve: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
1. Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
A.            7              B.             10
C.             12           D.            13
Answer: Option B
Explanation: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.


2. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

2, 3, 5, 7, 11, x, 17
A. 12                         B. 13      
C. 14                         D. 15     
Answer:    B
Explanation: Clearly, the given series consists of prime numbers starting from 2. The prime number after 11 is 13.
So, 13 is the missing number

3. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
6, 11, 21, 36, 56,?
A. 42                                       B. 51      
C. 81                                       D. 91     
Answer:  C
Explanation: The pattern is + 5, + 10, + 15, + 20,....
.'. Missing Number = 56 + 25 = 81.

4. Look at this series: 36, 34, 30, 28, 24, ... What number should come next?

A.            20           B.             22
C.             23           D.            26
Answer: Option B
Explanation: This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on.

5. Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?

A.            22           B.             24
C.             25           D.            26
Answer: Option C
Explanation: In this simple alternating subtraction and addition series; 1 is subtracted, then 2 is added, and so on.

6. Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?

A.            12           B.             14
C.             27           D.            53
Answer: Option B
Explanation: In this series, each number is repeated, then 13 is subtracted to arrive at the next number.

7. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

3, 9, 27, 81,?
A. 324                                     B. 243      
C. 210                                      D. 162     
Answer:   B
Explanation: Each term of the given series is obtained by multiplying its preceding term by 3.
.'.  Missing  number = 81 * 3 = 243.

8. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

1, 9, 17, 33, 49, 73,
A. 97                              B. 98      
C. 99                              D. 100     
Answer:    A
Explanation:  The pattern is + 8, + 8, + 16, + 24,....
.'. Missing number = 73 + 24 = 97

9. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

2, 5, 9, , 20, 27
A. 14                           B. 16      
C. 18                                           D. 24     
Answer:   A
Explanation: The pattern is + 3, + 4,....
.'. Missing number = 9 + 5 = 14.

10. Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?

A.            14           B.             15
C.             21           D.            23
Answer: Option B
Explanation: In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9.

11. Look at this series: 58, 52, 46, 40, 34, ... What number should come next?

A.            26           B.             28
C.             30           D.            32
Answer: Option B
Explanation: This is a simple subtraction series. Each number is 6 less than the previous number.

12. Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?

A.            7              B.             10
C.             14           D.            15
Answer: Option D
Explanation: This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to give 7; then 1 is added, and so on.

13. Look at this series: 8, 22, 8, 28, 8, ... What number should come next?

A.            9              B.             29
C.             32           D.            34
Answer: Option D
Explanation: This is a simple addition series with a random number, 8, interpolated as every other number. In the series, 6 is added to each number except 8, to arrive at the next number.

14. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

5, 9, 17, 29, 45,
A. 60                          B. 65      
C. 68                          D. 70     
Answer:    B
Explanation:  The pattern is + 4, + 8, + 12, + 16, ...
.'. Missing number = 45 + 20 = 65.

15. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

3, 7, 15, 31, 63,
A. 92                                       B. 115      
C. 127                                    D. 131     
Answer:    C
Explanation:  Each number in the series is the preceding number multiplied by 2 and then increased by 1.
Thus, (3 * 2) + 1 = 7,
(7 * 2) + 1 = 15,
(15 * 2) + 1 = 31 and so on.
.'. Missing number = (63 * 2) + 1 =127.

16. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

1, 6, 15, , 45, 66, 91
A. 25                                                                        B. 26                     
 C. 27                                                                       D. 28     
Answer:    D
Explanation:  The pattern is + 5, + 9, ..., + 21, + 25
.'. Missing number = 15 + 13 = 28.

17. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

1, 2, 3, 5, 8,
A. 9                                       B. 11       C. 13                                     D. 15     
Answer:  C
Explanation:  Each term in the series is the sum of the preceding two terms.
Thus,  1 + 2 = 3,
2 + 3 = 5,
3 + 5 = 8 and so on.
.'. Missing number = 5 + 8 = 13.

18. Look at this series: 544, 509, 474, 439, ... What number should come next?

A.            404         B.             414
C.             420         D.            445
Answer: Option A
Explanation: This is a simple subtraction series. Each number is 35 less than the previous number.

19. Look at this series: 8, 6, 9, 23, 87 , ... What number should come next?

A.            128         B.             226
C.             324         D.            429
Answer: Option D
Explanation:
8 x 1 - 2 = 6
6 x 2 - 3 = 9
9 x 3 - 4 = 23
23 x 4 - 5 = 87
87 x 5 - 6 = 429 ...

20. Look at this series: 5.2, 4.8, 4.4, 4, ... What number should come next?

A.            3              B.             3.3
C.             3.5          D.            3.6
Answer: Option D
Explanation: In this simple subtraction series, each number decreases by 0.4.


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