Explanation / Important formulas:
Explanantion:
Series:
The terms or elements follow a definite law in series but it cannot be generalized. You should know, what is the definite relationship between numbers which make the set of given terms in series. Addition, subtraction, multiplication, division, transposition of terms and series generally form such series. The different questions asked may depend upon the following:
Odd number/Even number/Prime numbers
- The series may consist of odd numbers/even numbers or prime numbers except one number, which will be the odd man out. Hence, before solving numerical on this topic must revise all basic concepts.
Perfect squares/Cubes:
- Squares: 9, 16, 49, 81 ….
- Cubes: 27, 64, 125, 216 ….
Multiple of numbers:
- The series contains numbers which are multiple of different numbers.
Example: 4, 8, 12, 16, 20…..
Numbers in A.P./G.P.
- Geometric progression: x, xr, xr3, xr4
- Arithmetic progression: x, x + y, x + 2y, x + 3y are said to be in A.P.
- The terms in series may be arithmetic or geometric progression.
Difference or sum of numbers:
- The difference between two consecutive numbers may increase or decrease
Cumulative series:
- In this type, the third number is the addition of previous two numbers.
Example: 2, 4, 6, 10, 16, 26 ……
Power series:
- In this type, the terms are defined on the basis of powers of numbers; the number may be expressed in the form of n3 – n.
Example: If n = 4, n3 – n = 60 / If n = 5, n3 – n = 120…
Series: 60, 120, 210, 336 … - The series of numbers may follow different sequence as shown below:
(n2 – 1), (n2 + 1), (n2 – n), (n3 – n), (n2 – n + 1), (n2 – n – 1), etc
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Number Series ( Odd Man out) - Test
Number Series (Odd Man Out) - Question and Answers
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Question 1
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Find the odd man out 3, 5, 11, 14, 17, 21 ?
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21
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17
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14
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3
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Question 1 Explanation:
Each of the numbers except 14 is an odd number. The number ’14’ is the only EVEN number
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Question 2
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Find the odd man out 8, 27, 64, 100, 125, 216, 343 ?
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27
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100
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125
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343
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Question 2 Explanation:
The pattern is 23, 33, 43, 53, 63, 73. But, 100 is not a perfect cube
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Question 3
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Find the odd man out 10, 25, 45, 54, 60, 75, 80 ?
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10
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45
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54
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75
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Question 3 Explanation:
Each of the numbers except 54 is multiple of 5
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Question 4
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Find the odd man out 396, 462, 572, 427, 671, 264 ?
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396
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427
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671
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264
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Question 4 Explanation:
In each number except 427, the middle digit is the sum of other two
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Question 5
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Find the odd man out 6, 9, 15, 21, 24, 28, 30 ?
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28
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21
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24
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30
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Question 5 Explanation:
Each of the numbers except 28, is a multiple of 3.
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Question 6
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Find the odd man out 1, 4, 9, 16, 23, 25, 36 ?
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9
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23
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25
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36
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Question 6 Explanation:
Each of the numbers except 23, is perfect square
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Question 7
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Find the odd man out 3, 5, 7, 12, 17, 19?
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19
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17
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5
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12
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Question 7 Explanation:
Each of the numbers is a prime number except 12.
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Question 8
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Find the odd man out 41, 43, 47, 53, 61, 71, 73, 81?
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61
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71
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73
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81
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Question 8 Explanation:
Each of the numbers except 81 is a prime number.
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Question 9
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Find the odd man out 835, 734, 642, 751, 853, 981, 532?
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751
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853
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981
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532
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Question 9 Explanation:
In each number except 751, the difference of third and first digit is the middle one.
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Question 10
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Find the odd man out 331, 482, 551, 263, 383, 362, 284?
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263
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383
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331
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551
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Question 10 Explanation:
In each number except 383, the product of first and third digits is the middle one.
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Question 11
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Find the odd man out 30, -5, -45, -90, -145, -195, -255?
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-5
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-145
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-255
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-195
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Question 11 Explanation:
30
30 - 35 = -5
-5 - 40 = -45
-45 - 45 = -90
-90 - 50 = -140
-140 - 55 = -195
-195 - 60 = -255
Hence, -145 is wrong. -140 should have come in place of -145
30 - 35 = -5
-5 - 40 = -45
-45 - 45 = -90
-90 - 50 = -140
-140 - 55 = -195
-195 - 60 = -255
Hence, -145 is wrong. -140 should have come in place of -145
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Question 12
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Find the odd man out. 3576, 1784, 888, 440, 216, 105, 48?
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105
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216
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888
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1784
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Question 12 Explanation:
3576
(3576-8)/2 = 1784
(1784-8)/2 = 888
(888-8)/2 = 440
(440-8)/2 = 216
(216-8)/2 = 104
(104-8)/2 = 48
Hence, 105 is wrong. 104 should have come in place of 105
(3576-8)/2 = 1784
(1784-8)/2 = 888
(888-8)/2 = 440
(440-8)/2 = 216
(216-8)/2 = 104
(104-8)/2 = 48
Hence, 105 is wrong. 104 should have come in place of 105
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Question 13
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Find the odd man out. 3, 5, 15, 75, 1120, 84375?
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84375
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1120
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15
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3
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Question 13 Explanation:
Pattern : 1st * 2nd = 3rd, 2nd * 3rd = 4th, etc.
3
5
3 × 5 = 15
5 × 15 = 75
15 × 75 = 1125
75 × 1125 = 84375
Hence, 1120 is wrong. 1125 should have come in place of 1120.
3
5
3 × 5 = 15
5 × 15 = 75
15 × 75 = 1125
75 × 1125 = 84375
Hence, 1120 is wrong. 1125 should have come in place of 1120.
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Question 14
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Find the odd man out. 12, 21, 32, 45, 60, 77, 95?
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95
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45
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32
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21
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Question 14 Explanation:
12 + 9 = 21
21 + 11 = 32
32 + 13 = 45
45 + 15 = 60
60 + 17 = 77
77 + 19 = 96
Hence, 95 is wrong. 96 should have come in place of 95
21 + 11 = 32
32 + 13 = 45
45 + 15 = 60
60 + 17 = 77
77 + 19 = 96
Hence, 95 is wrong. 96 should have come in place of 95
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Question 15
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Find the odd man out. 5, 10, 40, 81, 320, 640, 2560?
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40
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81
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320
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2560
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Question 15 Explanation:
Alternatively 2 and 4 are multiplied with the previous terms
5
5 × 2 = 10
10 × 4 = 40
40 × 2 = 80
80 × 4 = 320
320 × 2 = 640
640 × 4 = 2560
Hence, 81 is wrong. 80 should have come in place of 81.
5
5 × 2 = 10
10 × 4 = 40
40 × 2 = 80
80 × 4 = 320
320 × 2 = 640
640 × 4 = 2560
Hence, 81 is wrong. 80 should have come in place of 81.
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Question 16
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Find the odd man out. 125, 127, 130, 135, 142, 153, 165?
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165
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142
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153
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130
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Question 16 Explanation:
Prime numbers 2, 3, 5, 7, 11, 13 are added successively. Hence, 165 is wrong.
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Question 17
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Find the odd man out. 241, 263, 248, 271, 255, 277, 26?
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277
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271
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263
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241
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Question 17 Explanation:
Alternatively 22 is added and 15 is subtracted from the terms. Hence, 271 is wrong
241
241 + 22 = 263
263 - 15 = 248
248 + 22 = 270
270 - 15 = 255
255 + 22 = 277
277 - 15 = 262
241
241 + 22 = 263
263 - 15 = 248
248 + 22 = 270
270 - 15 = 255
255 + 22 = 277
277 - 15 = 262
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Question 18
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Find the odd man out. 23, 27, 36, 52, 77, 111, 162?
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162
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111
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52
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27
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Question 18 Explanation:
23 + 22 = 27
27 + 32 = 36
36 + 42 = 52
52 + 52 = 77
77 + 62 = 113
113 + 72 = 162
Hence, 113 should have come in place of 111
27 + 32 = 36
36 + 42 = 52
52 + 52 = 77
77 + 62 = 113
113 + 72 = 162
Hence, 113 should have come in place of 111
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Question 19
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Find the odd man out. 5, 6, 14, 45, 185, 925, 5556?
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5556
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925
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185
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6
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Question 19 Explanation:
5 × 1 + 1 = 6
6 × 2 + 2 = 14
14 × 3 + 3 = 45
45 × 4 + 4 = 184
184 × 5 + 5 = 925
925 × 6 + 6 = 5556
Hence, it is clear that 184 should have come instead of 185
6 × 2 + 2 = 14
14 × 3 + 3 = 45
45 × 4 + 4 = 184
184 × 5 + 5 = 925
925 × 6 + 6 = 5556
Hence, it is clear that 184 should have come instead of 185
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Question 20
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Find the odd man out. 3, 8, 18, 38, 78, 158, 316?
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8
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158
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316
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8
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Question 20 Explanation:
3
3 × 2 + 2 = 8
8 × 2 + 2 = 18
18 × 2 + 2 = 38
38 × 2 + 2 = 78
78 × 2 + 2 = 158
158 × 2 + 2 = 318
Hence, 316 is wrong and 318 should have come in place of that
3 × 2 + 2 = 8
8 × 2 + 2 = 18
18 × 2 + 2 = 38
38 × 2 + 2 = 78
78 × 2 + 2 = 158
158 × 2 + 2 = 318
Hence, 316 is wrong and 318 should have come in place of that
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Question 21
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Find the odd man out. 2, 3, 5, 9, 12, 17, 23?
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12
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9
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23
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2
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Question 21 Explanation:
2
2 + 1 = 3
3 + 2 = 5
5 + 3 = 8
8 + 4 = 12
12 + 5 = 17
17 + 6 = 23
ie, 8 should have come in place of 9
2 + 1 = 3
3 + 2 = 5
5 + 3 = 8
8 + 4 = 12
12 + 5 = 17
17 + 6 = 23
ie, 8 should have come in place of 9
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Question 22
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Find the odd man out. 1050, 510, 242, 106, 46, 16, 3?
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46
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106
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510
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1050
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Question 22 Explanation:
1050
(1050 - 30)/2 = 510
(510 - 26)/2 = 242
(242 - 22)/2 = 110
(110 - 18)/2 = 46
(46- 14)/2 = 16
(16- 10)/2 = 3
Hence, 110 should have come in place of 106
(1050 - 30)/2 = 510
(510 - 26)/2 = 242
(242 - 22)/2 = 110
(110 - 18)/2 = 46
(46- 14)/2 = 16
(16- 10)/2 = 3
Hence, 110 should have come in place of 106
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Question 23
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Find the odd man out. 445, 221, 109, 46, 25, 11, 4?
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25
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109
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46
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221
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Question 23 Explanation:
To obtain next number, subtract 3 from the previous number and divide the result by 2
445
(445-3)/2 = 221
(221-3)/2 = 109
(109-3)/2 = 53
(53-3)/2 = 25
(25-3)/2 = 11
(11-3)/2 = 4
Clearly, 53 should have come in place of 46
445
(445-3)/2 = 221
(221-3)/2 = 109
(109-3)/2 = 53
(53-3)/2 = 25
(25-3)/2 = 11
(11-3)/2 = 4
Clearly, 53 should have come in place of 46
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Question 24
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Find the odd man out. 6, 13, 18, 25, 30, 37, 40?
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40
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30
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37
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25
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Question 24 Explanation:
The difference between two successive terms from the beginning are 7, 5, 7, 5, 7, 5
Hence, in place of 40, right number is 37+5 = 42
Hence, in place of 40, right number is 37+5 = 42
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Question 25
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Find the odd man out. 1, 16, 81, 255, 625, 1296?
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255
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1296
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81
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1
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Question 25 Explanation:
The patter is 14, 24, 34, 44, 54, 64
Hence, in place of 255, the right digit is 44 = 256
Hence, in place of 255, the right digit is 44 = 256
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Question 26
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Find the odd man out. 1, 27, 216, 512, 1024, 1331?
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1024
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512
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27
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1
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Question 26 Explanation:
All given numbers except 1024 are perfect cubes.
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Question 27
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Find the odd man out. 18, 16, 12, 24, 11, 34, 46?
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16
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46
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16
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11
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Question 27 Explanation:
11 is the only odd number in the given series.
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Question 28
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Find the odd man out. 2, 5, 10, 17, 26, 38, 50, 65?
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50
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38
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26
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65
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Question 28 Explanation:
The pattern is (1×1)+1 , (2×2)+1 , (3×3)+1 , (4×4)+1 , (5×5)+1 , (6×6)+1 , (7×7)+1 , (8×8)+1
Hence, in place of 38, the right number was (6×6)+1 = 37
Hence, in place of 38, the right number was (6×6)+1 = 37
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Question 29
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Find the odd man out. 1, 4, 9, 17, 25, 36, 49?
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1
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9
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17
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49
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Question 29 Explanation:
The patter is 12, 22, 32, 42, 52, 62, 72
But, instead of 42, 17 is given
But, instead of 42, 17 is given
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Question 30
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Find the odd man out. 1, 9, 16, 51, 121, 169, 225?
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169
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51
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16
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1
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Question 30 Explanation:
Each of the given numbers except 51 is a perfect square
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