The logic followed here is:

1. 1286 – 2578 → (1286 × 2) + 1 = 2572 + 1 = 2573 ≠ 2578

2. 3294 – 6589 → (3294 × 2) + 1 = 6588 + 1 = 6589

3. 1324 – 2649 → (1324 × 2) + 1 = 2648 + 1 = 2649

4. 3184 – 6369 → (3184 × 2) + 1 = 6368 + 1 = 6369

Hence, '1286 – 2578' is the correct answer.

Let's check each option by interchanging 4 and 6,

1) 2 + 6 × 5 – 4 = 16

→ 2 + 4 × 5 – 6 = 16

→ 2 + 20 – 6 = 16

→ 22 – 6 = 16

→ LHS = RHS.

2) 4 + 5 – 6 = 7

→ 6 + 5 – 4 = 7

→ 11 – 4 = 7

→ LHS = RHS.

3) 6 ÷ 2 – 4 × 5 = –28

→ 4 ÷ 2 – 6 × 5 = –28

→ 2 – 6 × 5 = –28

→ 2 – 30 = –28

→ –28 = –28

→ LHS = RHS.

4)  6 × 3 – 4 ÷ 1 = 3

→ 4 × 3 – 6 ÷ 1 = 3

→ 4 × 3 – 6 = 3

→ 12 – 6 = 3

→ 6 ≠ 3

→ LHS ≠ RHS.

⇒ Here, we can see that only Option 4 is not correct.

⇒ Hence, the correct answer is "Option 4".

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

Clearly, Saloni is mother-in-law of Sakshi.

Hence, ‘Mother-in-law’ is the correct answer.

Given equation: 74 ÷ 11 – 33 + 42 × 16 =?

After changing the signs: 74 + 11 ÷ 33 × 42 - 16 =?

→ 74 + 11 ÷ 33 × 42 - 16 =?

→ 74 + 1/3 × 42 - 16 =?

→ 74 + 14 - 16 =?

→ 88 - 16 =?

→ 72 =?

⇒ Hence, the correct answer is "72".

The logic followed here is:

⇒ Logic: Second Number = (First Number × 6)

Let's check using the logic,

22 ∶ 132

→ 132 = (22 × 6)

→ 132 = 132

24 ∶ 144

→ 144 = (24 × 6)

→ 144 = 144

? ∶ 72

→ 72 = (? × 6)

→ 72 ÷ 6 =?

→ 12 =?

Hence, the correct answer is "12".

The option figure in which the given figure is embedded is shown below:

Hence, 'option 2' is the correct answer.

The logic followed here is:

Logic: The second word is a place where the actions denoted by the first word is carried out.

Treatment: Hospital

→ Treatment is done in the hospital.

Let's check each option using the logic,

→ Here, we can see that Option 3 follows the logic i.e., Education is done in the school.

Hence, the correct answer is "Education: School".

The logic followed here is:

Logic: (2nd number + 3rd number) × 2 = first number

• (66, 13, 20) → (13 + 20) × 2 = 33 × 2 = 66
• (298, 80, 69) → (80 + 69) × 2 = 149 × 2 = 298

Similarly,

• (356, 111, 67) → (111 + 67) × 2 = 178 × 2 = 356

Hence, '(356, 111, 67)' is the correct answer.

The logic followed here is:

Logic: The word on the left is the capital city of the country on the right side.

Ottawa: Canada

→ Ottawa is the capital city of Canada.

Let's check each option as per the logic,

⇒ Here, we can see that only Option 1 follows the order and logic i.e., Nairobi is the capital city of Kenya.

Hence, the correct answer is "Nairobi: Kenya".

The image embedded in given figure is as shown below:

Hence, "Option 3" is the correct answer.