The sum of the digits in 708, 618 and 816 is 15, but not in 392.
With close observation, you will note that each number in the list is in the middle of two prime numbers. Thus:
4 is in the middle of 3 and 5, 6 is in the middle of 5 and 7, 12 is in the middle of 11 and 13, 18 is in the middle of 17 and 19, 30 is in the middle of 29 and 31. 42 is in the middle of 41 and 43, 60 is in the middle of 59 and 61.
Therefore, the next number would be the one that is in the middle of the next two prime numbers, which is 72 (which is in the middle of 71 and 73).
The given number series is 125, 138, 164, ?, 255
125
125 + 13x1 = 138
138 + 13x2 = 164
164 + 13x3 = 203
203 + 13x4 = 255
Hence, the missing number in the series is 203.
The given number series is 5, 8, 40, 90, 664
5
5 - 1 x 2 = 8
8 - 3 x 4 = 20 (NOT 40)
20 - 5 x 6 = 90
90 - 7 x 8 = 664
The given number series 11, 13, 30, 96, ? follows a pattern that,
11
11 x 1 + 2 = 13
13 x 2 + 4 = 30
30 x 3 + 6 = 96
96 x 4 + 8 = 392
Hence, the next number in the given series is 392.
Given number series follows a pattern that,
2
2 x 1.5 + 1 = 4
4 x 1.5 + 1 = 7 (not equal to 8)
7 x 1.5 + 1 = 11.5
11.5 x 1.5 + 1 = 18.25
18.25 x 1.5 + 1 = 28.375
Hence, the odd number in the given number series is 8.
In each term second two numbers are multiples of the first number. But in 4-15-24 15 is not multiple of 4.
The series follows the following pattern.
4
16 =
37 =
58 =
81 .
Here every number is based on the digits of previous number. Hence, 81 is the wrong number in the given series.
Here the given number series is 270, 261, 279, 252, 289, 243
270 - 9 = 261
261 + 18 = 279
279 - 27 = 252
252 + 36 = 288 (not equals to 289)
288 - 45 = 243
Hence, the odd number in the given number series is 289.
The given number series is 10, 21, 54, 109, 189
The series follows a pattern that
10 + 11 = 21
21 + 33 = 54
54 + 55 = 109
109 + 77 = 186
Hence the wrong number in the given number series is 189.
The given series is 15, 19, 27, 38, 55, 75
15
15 + 4 = 19
19 + 8 = 27
27 + 12 = 39
39 + 16 = 55
55 + 20 = 75
Hence, the odd number in the given series is 38.
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