Except option (c) in all the other options, all numbers are divisible by a particular number as option (a) by 7, option (b) by 8 and option (d) by 9.
9 - 2 = 7 ? 72 = 49
13 - 2 = 11 ? 112 = 121
10 - 2 = 8 ? 82 = 64 ? 61
7 - 2 = 5 ? 52 = 25
Only option (c) has difference if 7, rest have difference of 8 between first and second number.
In all the given numbers, the middle digit is twice in second group.
Except '9, 64', all number are consecutive squares.
Second number is the difference of the square of the digits of the first number.
14 + 3 = 17 ? 17 + 6 = 23, 19 + 3 = 22 ? 22 + 6 28
17 + 3 =20 ? 20 + 6 = 26, 21 + 2 = 23 ? 23 + 7 30
In all the options except (b), second and third numbers are the square and cube of first number but in option (a) all number respectively.
Except (a) in all the other options, numbers are even numbers but in option (a) all numbers are prime numbers.
In the other options except (d), second number is obtained by the addition of 1 in first number and third number is obtained by the addition of 10 in second number.
In all other groups of words, numeric component in between the first and second letters is the sum of positions of first and last letters in the alphabet.
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