The given series follows a pattern that,
+4, +6, +8, +10, +12...
5
5 + 4 = 9
9 + 6 = 15
15 + 8 = 23
23 + 10 = 33
33 + 12 = 45
Hence, the missing number in the series is 33.
Here the given number series is 5 11 21 44 ? 175
Now the given series follows a pattern, that
x2 + 1, x2 - 1, x2 + 2, x2 - 2, x2 + 3, x2 - 3,...
Then the missing number is x2 - 2
= 44 x 2 - 2 = 88 - 2 = 86
Hence, the missing number in the number series is 86.
Here among the given numbers, 3, 19, 67 are prime numbers. And 133 is not a prime number.
Hence, the odd number of the given numbers is 133.
The given number series 2, 19, 0, 21, ?2, ? follows a pattern,
2
2 + 17 = 19
19 - 19 = 0
0 + 21 = 21
21 - 23 = -2
-2 + 25 = 23
Hence, the next number in the series is 23.
Here the given number series 3, 10.5, 36.75, 128.625, ? follows a pattern that
3
3 x 3.5 = 10.5
10.5 x 3.5 = 36.75
36.75 x 3.5 = 128.625
128.625 x 3.5 = 450.187
Hence the next number in the given number series is 450.187.
K+2 M+1 N-2 L, P+2 R+1 S-2 Q, V+1 W+2 Y+1 Z, J+2 L+1 M-2 K and W+2 Y+1 Z-2 X.
Except VWYZ, all the other groups follow similar pattern.
Here the given series is 1, 3, 6, 11, 20, 37, ??,
and the logic behind the series is
1 x 2 + 1 = 3
3 x 2 + 0 = 6
6 x 2 + (-1) = 11
11 x 2 + (-2) = 20
20 x 2 + (-3) = 37
37 x 2 + (-4) = 70
Hence, the next number in the given series is 70.
The given number series is
71 88 113 150 203 277
+17 +25 +37 +53 +74
+8 +12 +16 +21
+4 +4 +5
The series should be 71 88 112 150 203 276 i.e, the differences of the difference should be +4.
Hence, the odd man in the given series is 277.
The given number series is 35, 36, 55, 111, ?
35
35 x 1 + 1 = 36
36 x 1.5 + 1 = 55
55 x 2 + 1 = 111
111 x 2.5 + 1 = 278.5
Hence, the next number in the given number series is 278.5.
The given number series follows a pattern that
11
11 - 5.5 = 5.5
5.5 + 4.5 = 10
10 - 3.5 = 6.5
6.5 + 2.5 = 9
9 - 1.5 = 7.5
Hence, the next number in the given number series is 7.5.
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