Each of the numbers except 144, is a perfect Sqaure.

The following is a list of perfect squares.

If a variable with an exponent has an even exponent then it is a perfect square. To get the square root, we simply divide the exponent by 2. For example x⁸ is a perfect square, its square root is x⁴ . x¹¹ is not a perfect square.

All except Reader are persons involved in the preparation of a journal, newspaper or magazine.

The pattern is 2³, 3³, 4³, 5³, 6³, 7³. But, 100 is not a perfect cube.

In each term second two numbers are multiples of the first number. But in 4-15-24 15 is not multiple of 4.

Tiruvanantapuram, Hyderabad, Bangalore and Bhubaneswar are state capitals, while Calicut is not a state capital.

In each of the numbers add the first and the third digit to get the middle one except 284.

Here, choices (a), (c), (d) and (e) belong to one group because these all are Planets. But moon is a satellite. So moon will be the right answer.

Other options are parts of vehicle

Numbers must be (14)², (13)², (11)², (10)², (9)²,(8)².
So, 80 is wrong.

Each of the numbers except 72 is a perfect square.

Except in 862, in all other numbers sum of the first two digits is the same as the last digit.

Here it follows a pattern that

4

4 x 1.5 = 6

6 x 2 = 12

12 x 2.5 = 30

30 x 3 = 90 not equals to 81

90 x 3.5 = 315

Hence the odd one in the series is 81.

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

In each term second two numbers are multiples of the first number. But in 4-15-24 15 is not multiple of 4.