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The logic followed here is:

Logic: All the numbers are perfect cube.

Now,

For, (8, 27, 125)

⇒ 8 = Cube of 2.

⇒ 27 = Cube of 3.

⇒ 125 = Cube of 5.

For, (64, 1331, 1728)

⇒ 64 = Cube of 4.

⇒ 1331 = Cube of 11.

⇒ 1728 = Cube of 12.

Now checking the options,

Option 1) (289, 212, 196) 

⇒ 289 = Not a Cube number.

⇒ 212 = Not a Cube number.

⇒ 196 = Not a Cube number.

Option 2) (200, 215, 256) 

⇒ 200 = Not a Cube number.

⇒ 215 = Not a Cube number.

⇒ 256 = Not a Cube number.

Option 3) (125, 172, 144) 

⇒ 125 = Cube of 5.

⇒ 172 = Not a Cube number.

⇒ 144 = Not a Cube number.

Option 4) (216, 343, 512) 

⇒ 216 = Cube of 6.

⇒ 343 = Cube of 7.

⇒ 512 = Cube of 8.

Hence, the correct answer is "Option 4".

By using the symbols in the table given below, we can draw the following family tree:

Clearly, Kapil is the maternal uncle of Neha.

Hence, ‘Maternal uncle’ is the correct answer.

1. × and –

Given expression: 3 × 6 + 2 – 4 ÷ 8 = 13

After replacing the symbols, we get:

LHS =3 - 6 + 2 × 4 ÷ 8

= 3 – 6 + 1

= 4 – 6

= - 2 ≠RHS

2. • and ×

Given expression: 3 × 6 + 2 – 4 ÷ 8 = 13

After replacing the symbols, we get:

LHS = 3 + 6 × 2 – 4 ÷ 8

= 3 + 12 – 0.5

= 15 – 0.5

= 14.5 ≠ RHS

3. • and -

Given expression: 3 × 6 + 2 – 4 ÷ 8 = 13

After replacing the symbols, we get:

LHS = 3 × 6 - 2 + 4 ÷ 8

= 12 – 2 + 0.5

= 12.5 – 2

= 10.5 ≠ RHS

4. ÷ and +

Given expression: 3 × 6 + 2 – 4 ÷ 8 = 13

After replacing the symbols, we get:

LHS = 3 × 6 ÷ 2 – 4 + 8

= 9 – 4 + 8

= 17 – 4

= 13 = RHS

Hence, ‘÷ and +’ is the correct answer.

Given :

Explanation : If two dice have the same face value in the given image then their clockwise or anti clockwise rotation of the face are formed the opposite pair in dice.

while moving the clockwise direction :

From the both dices :

Now, E is opposite to D

Hence, E is the correct answer.

The logic followed here is :-

'BROWN' is written as 'ORBNW'.

Similarly,

'LUCKY' will be written as :

Hence, the correct answer is "CULYK".

By using the symbols in the table given below, we can draw the following family tree:

Clearly, the man is the nephew of the lady.

Hence, ‘Nephew’ is the correct answer.

The pattern followed here is:

Hence, the correct answer is "Option 4".

The pattern followed here is,

7 : 42 → 7 : [7 × (7 – 1)]

Similarly,

9 : ? → 9 : [9 × (9 – 1)]

Or, ? = 72

Hence, ‘72’ is the correct answer.

The logic followed here is:

So, 'TKWJ' will replace the question mark in the given series.

Hence, the correct answer is "TKWJ".

The image obtained when the paper is unfolded is,

Hence, option 1 is the correct answer.