Number Series Questions - 1

3, 7, 14, 23, 36, 49, _____
  • 64
  • 81
  • 66
  • 69
  • 67
Explanation   

Theseries is arranged in the pattern 12 +2 = 3, 22 + 3 = 7, 32 + 5 = 14, 42 + 7 = 23, 52 + 11 = 36

62 + 13 = 49, 72+ 17 = 66, => squares of natural numbers starting from 1 + Prime numbers a starting from 2.

Workspace
3, 5, 8, 11, 16, 19, _____
  • 35
  • 24
  • 28
  • 27
  • 29
Explanation   

The pattern is => 1 + 2 = 3, 2 +3 = 5, 3 +5 = 8, 4 + 7 = 11, 5 + 11 = 16, 7 + 17 = 24

Natural numbers + Prime numbers.

Workspace
2, 3, 5; 5, 7, 12; 11, 13, 24; 17, 19, 36; ________;
  • 23, 29, 52
  • 20, 23, 43
  • 21, 23, 44
  • 23, 29, 53
  • 12, 13, 25
Explanation   

2+3 = 5, 5+7 = 12, 11+13 = 24, 17+19 = 36 [all are consecutive prime numbers and each pair is added]

Workspace
2, 12, 30, 56, _____
  • 64
  • 72
  • 90
  • 96
  • 92
Explanation   

The series is in the pattern

1X2 = 2, 3X4 = 12, 5X6 = 30, 7X8 = 56, next numbers are 9 and 10 => 9X10 = 90

Workspace
0, 5, 8, 17, 24, ____
  • 39
  • 30
  • 32
  • 37
  • 36
Explanation   

The series is in the pattern

12 – 1 = 0, 22 + 1 = 5, 32 – 1 = 8, 42 + 1 = 17, 52 - 1 = 24, 62 + 1 = 37

Workspace
5, 25, 61, 120, 181, _____
  • 265
  • 260
  • 240
  • 225
  • 324
Explanation   

The series is in the pattern

12 + 22 = 5, 32 + 42 = 25, 52 + 62 = 51, 72 + 82 = 120, 92 + 102 = 181, 112 + 122 = 265

Workspace
1, 5, 13, 25, 41, 61, _____
  • 82
  • 83
  • 84
  • 85
  • 86
Explanation   

The series is in the pattern

1 is the first term and increasing in the pattern +4, +8, +12, +16, + 20, +24.

61 + 24 = 85

Workspace
61, 52, 63, 94, 46_____
  • 81
  • 121
  • 441
  • 18
  • 36
Explanation   
All the given numbers in series are perfect squares and the digits of that numbers are reversed.
Workspace
52, 34, 45, 36, 63, 54, 43, _____
  • 49
  • 64
  • 25
  • 28
  • 12
Explanation   
i.e . 36 = 63; 45 = 54; …. 52 = 25
Workspace
234, 24; 134, 12; 224, 16; 315, 15; 413, _____
  • 12
  • 24
  • 16
  • 18
  • 22
Explanation   

2X3X4 = 24, 1X3X4 = 12, 2X2X4 = 16, 3X1X5 = 15, 4X1X3 = 12.

Workspace

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