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.
The given number series is 3, 12, 39, 120, 364
The given number series is 720, 732, 708, 742, 696
720
720 + 12 = 732
732 - 24 = 708
708 + 36 = 744 (Not 742)
744 - 48 = 696
Hence, the odd man in the given number series is 742.
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.
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.
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.
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