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Given mapping:

Equation: 57 D 34 C 90 A 18 B 6 = ?

Replace the letters with their respective signs.

= 57 − 34 + 90 ÷ 18 × 6

= 57 - 34 + 5 × 6

= 57 - 34 + 30

= 87 - 34

= 53

Therefore, the value that will come in place of the question mark is 53.

Hence, the correct answer is "Option 3".

Given:

Seven boxes B, F, G, H, R, T and Y are kept one over the other.

1) Only one box is kept below Y.

This implies Y is at the 2^nd position from the bottom.

2) R is kept immediately above H.

3) T is kept above R.

4) Only one box is kept between H and T.

Combining these points, the vertical sequence is T - R - H (since R is immediately above H, it becomes the single box between T and H).

5) G is kept immediately above T.

So, the continuous block is G, T, R, H.

6) G or B are not kept at the top.

Since G is already at position 6, it satisfies the condition. For box B, since it cannot be at position 7, it must be placed at the only other vacant spot, which is position 1.

7) F is the only remaining box, so it must be at the top.

Final Arrangement:

The boxes kept above T are G and F. There are 2 boxes above T.

Hence, the correct answer is 'Option 2'.

The logic followed here is based on the positional values of the letters in the English alphabetical order.

Logic: Second letter = First letter + 3; Third letter = Second letter − 2.

Option 1) UXV,

Option 2) RKL,

This letter-cluster does not follow the +3, −2 pattern.

Option 3) PSQ,

Option 4) SVT,

Therefore, the letter-cluster that is different from the others is RKL.

Hence, the correct answer is 'Option 2'.

Logic followed here is.

Based on the given information, seven people are seated in a row facing North. We will place them step-by-step according to the constraints provided.

Step 1: Only two people are seated to the left of L. This means L is at the 3^rd position from the left end.

Step 2: Only three people are seated between L and H. Counting three positions to the right of L (4^th, 5^th, and 6^th), H must be at the 7^th position (extreme right end).

Step 3: I is seated second to the right of J (Pattern: J _ I). Also, I is not an immediate neighbor of H, so I cannot be at the 6^th position. The only valid placement for this pair is J at the 2^nd position and I at the 4^th position.

Step 4: K is seated to the immediate right of M (Pattern: MK). The only available adjacent seats are the 5^th and 6^th positions. Thus, M is at the 5^th and K is at the 6^th position.

Step 5: The only remaining person, N, is placed in the only vacant spot, which is the 1^st position (extreme left end).

The Final Seating Arrangement is:

By observing the final arrangement, we can see that N is seated at the extreme left end of the row.

Hence, the correct answer is "Option 4".

The logic followed here is:

Logic: Second Number = First Number × 6

For the first set 32, 192

⇒ 32 × 6 = 192.

For the second set 41, 246

⇒ 41 × 6 = 246.

Applying the same logic to the given options:

Checking Option 3: 35, 210

⇒ 35 × 6 = 210.

Hence, the correct answer is 'Option 3'.

Given:

Seven boxes (A, B, C, D, E, F, G) are kept one over the other from 1 (bottom) to 7 (top).

1) E is kept fifth from the bottom.

2) C is kept fifth from the top.

3) Only one box is kept between D and C.

4) F is kept immediately below B.

5) A is not kept below G.

Final Arrangement:

Thus, only one box (C) is kept between G and A.

Hence, the correct answer is 'Option 1'.

The logic followed here is:

Logic: Each term in the series is obtained by subtracting 11 from the positional value of each letter of the previous term in the English alphabetical order (in a cyclic manner).

Therefore, the term that replaces '?' is ARB.

Hence, the correct answer is "Option 1".

Logic followed here is the comparison of common letters and their corresponding numeric codes in the given words.

Given:

SNOW is coded as '1732'

KNOW is coded as '5317'

Therefore, the code for ‘K’ in that language is 5.

Hence, the correct answer is "Option 2".

Given:

Let us first decode the given symbols and then draw a family tree.

On checking the expression: Q # W + R ÷ G @ H

1. Q # W - 'Q # W' means Q is the wife of W. This implies W is the husband of Q.

2. W + R - 'W + R' means W is the son of R.

3. R ÷ G - 'R ÷ G' means R is the father of G.

4. G @ H - 'G @ H' means G is the sister of H.

From the family tree, W, G, and H are siblings. W is the brother of H and Q is the wife of W. Therefore, Q is the Brother's wife of H.

Hence, the correct answer is "Option 1".

The logic followed in this pattern is based on a specific positional interchange of letters within each triad of words.

Step 1: The first and second letters of the first word are interchanged to form the second word.

Step 2: The second and fourth letters of the second word are interchanged to form the third word.

For 'MATH - AMTH - AHTM':

For 'MELT - EMLT - ETLM':

Applying the same logic to 'COLD':

Thus, the triad COLD - OCLD - ODLC follows the same logic.

Hence, the correct answer is 'Option 4'.