In the following questions, a series of numbers or alphabetical letter are given which contain a certain pattern. You are required to recognise this pattern and choose your answer correctly from the given options.

1. 1, 4, 9, 16, 25, ?
  A.  49
  B.  36
  C.  64
  D.  41
     
   
View Answer

The series follows pattern: 12, 22, 32, 42, 52, 62
Hence, option (B) is the correct answer.


2. 6, 11, 21, 36, 56, ?
  A.  81
  B.  71
  C.  91
  D.  76
     
   
View Answer

The series follow the pattern: +5, +10,+15,+20 .....
6 + 5 = 11
11 + 10 = 21
21 + 15 = 36
36 + 20 = 56
56 + 25 = 81
Hence, option (A) is the correct answer.


3. 1, 6, 13, 22, 33, ?
  A.  55
  B.  44
  C.  48
  D.  46
     
   
View Answer

The series follows the pattern: +5, +7, +9, +11,....
1 + 5 = 6
6 + 7 = 13
13 + 9 = 22
22 + 11 = 33
33 + 13 = 46
Hence, option (D) is the correct answer.


4. Find the missing term: 1, 6, 15, ?, 45, 66, 91
  A.  25
  B.  26
  C.  28
  D.  30
     
   
View Answer

The series follows the pattern: +5, +9, + ,_ _ _, +17, +21, +25
Therefore, the missing term =15 + 13 = 28
Hence, option (C) is the correct answer.


5. 3, 7, 15, 31, 63, ?
  A.  127
  B.  130
  C.  125
  D.  123
     
   
View Answer

Here in the series, each next number is achieved by multiplying by 2 and then adding by 1 the previous number.
Therefore, (3 × 2) + 1 = 7
(3 × 2) + 1 = 7
(7 × 2) + 1 = 15
(15 × 2) + 1 = 31
(31 × 2) + 1 = 63
(63 × 2) + 1 = 127
Hence, option (A) is the correct answer.


6. 121, 225, 361, ?
  A.  484
  B.  625
  C.  729
  D.  529
     
   
View Answer

The series follows pattern of: 112, (11 + 4 × 1)2, (11 + 4 × 2)2, ....
The missing term is: (11 + 4 × 3)2= (23)2= 529
Hence, option (A) is the correct answer.


7. 19, 2, 38, 3, 114, 4, ?
  A.  556
  B.  446
  C.  456
  D.  356
     
   
View Answer

The given series is a combination of two series: 19, 38, 114, ...   and second one : 2, 3, 4,...
The pattern follows: 19 × 2 = 38
38 × 3 = 114
114 × 4 = 456
Hence, option (C) is the correct answer.


8. 1, 2, 3, 6, 9, 18, 27, 54, ?
  A.  91
  B.  81
  C.  25
  D.  162
     
   
View Answer

The series follows the pattern: The numbers are alternately multipled by 2 and 3/2
1 × 2 = 2
2 × 3/2 = 3
3 × 2 = 6
6 × 3/2 = 9
9 × 2 = 18
18 × 3/2 = 27
27 × 2 = 54
54 × 3/2 = 81
Hence, option (B) is the correct answer.


9. 66, 36, 18, ?
  A.  6
  B.  12
  C.  10
  D.  8
     
   
View Answer

The series follows the pattern: Each number in the series is the product of the digits of the preceding number.
6 × 6 = 36
3 × 6 = 18
8 × 1 = 8
. Hence, option (D) is the correct answer.


10. 21, 25, 33, 49, 81, ?
  A.  145
  B.  135
  C.  155
  D.  140
     
   
View Answer

The series follows the pattern: +4, +8, +16, +32,... i.e. 22, 23, 24, 25, ...
Therefore, the series is:
21 + 22 = 25
25 + 23 = 33
33 + 24 = 49
49 + 25 = 81
81 + 26 = 145
Hence, option (A) is the correct answer.


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