The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5.
So, 40 is wrong.
Let the given numbers be A, B, C, D, E, F, G.
Then, A, A x 1 + 1, B x 2 + 2, C x 3 + 3, D x 4 + 4, E x 5 + 5, F x 6 + 6 are the required numbers.
Clearly, 228 is wrong.
Subtract 1, 3, 5, 7, 9, 11 from successive numbers.
So, 34 is wrong.
The terms are alternatively multiplied by 1.5 and divided by 3. However, 18.5 does not satisfy it.
The Sum of the digits in each number, Except 324 is 10.
Alternatively 23 is added and 17 is subtracted from the terms. So, 634 is wrong.
The digits on either side of the letter in each of the groups 1P6, 2T0, and 1R8 indicate the place value of the letter in the alphabet.
This pattern is not followed by 2Y4.
Each number is twice the preceding one with 1 added or subtracted alternatively.
So, the next number is (2 x 261 + 1) = 523.
Except Granite all other options belong to the group of precious stones.
The given number series follows the pattern that,
24×0 + 4 = 4
4×1 + 9 = 13
13×2 + 16 = 42
42×3 + 25 = 151
151×4 + 36 = 640
Therefore, the odd number in the given series is 41
In given Series, all the numbers except 54 are multiples of 5.
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