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Decoding signs:

Given: 15 W 3 X 2 Y 4=?

15 W 3 X 2 Y 4=? ⇒ 15 ÷ 3 + 2 - 4=?

⇒ 15 ÷ 3 + 2 - 4=?

⇒ 5 + 2 - 4=?

⇒ 7 - 4=?

⇒ 3 = ?

Hence, "Option 2" is the correct answer.

Given: A's father's wife's only daughter is B.

A is the sibling of B

Hence, the correct option is Option 3.

From the given information

Given: Introducing a boy, a girl says, "He is the son of my mother's only son."

Thus, the boy is girl's nephew.

Hence, the correct option is Option 3.

Given:

1. A is the wife of B.

2. B is the brother of C.

3. C is the father of D.

Thus, A is D's aunt.

Hence, the correct answer is "Option 1".

Decoding signs:

Given: 50 + 10 - 5 × 5 = ?

50 + 10 - 5 × 5 = ? ⇒ 50 - 10 + 5 ÷ 5 = ?

⇒ 50 - 10 + 5 ÷ 5 = ?

⇒ 50 + 1 - 10 = ?

⇒ 51 - 10 = ?

⇒ 41 = ?

Hence, "Option 1" is the correct answer.

The logic followed here is:

Hence, the correct answer is "Option 4".

The logic followed here is:

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

Hence, the correct answer is "Option 3".

The logic followed here is:

Pattern: Each term = (previous term × previous term) − (previous term − 1)

Check the sequence:

1 → 2 → 1×1 +1 = 2 

2 → 5 → 2×2 +1 = 5 

5 → 26 → 5×5 +1 = 26 

Similarly,

next term = 26 × 26 + 1 = 676 + 1 = 677

Hence, the correct answer is "Option 1".

The logic followed here is:

Check the numbers: 29, 31, 47, 101

All numbers are prime numbers (divisible only by 1 and themselves).

Check the options:

Option 1) 111 → Not prime (divisible by 3, 37) 

Option 2) 103 → Prime 

Option 3) 147 → Not prime (divisible by 3, 7, 7) 

Option 4) 196 → Not prime (divisible by 2, 98) 

So, the number similar to the given sequence is 103.

Hence, the correct answer is "Option 2".

Given:

Statement:

The government has decided to implement stricter regulations on industrial pollution to curb the growing environmental concerns.

Assumptions:

I. Industrial pollution is a significant cause of environmental degradation – True (The decision to regulate industrial pollution assumes it significantly affects the environment).

II. Stricter regulations will reduce industrial pollution – True (Implementing stricter regulations assumes they will have the intended effect).

III. Environmental concerns are primarily related to industrial activities – False (The statement does not assume that all environmental concerns are only due to industrial activities; other sources may exist).

So, Only assumptions I and II are implicit.

Hence, the correct answer is "Option 1".