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

Husband's wife's only son's mother → Wife of the Man 

Mother of your husband's wife's only son's mother → Woman is the mother of the man's wife

Clearly, the person is the son-in-law of the woman in the photograph.

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

The logic followed is:

All the pairs except (option 4), follow the pattern of First number = (Second number)2 + 5

Option 1 → 54 - 7

54 = (7)2 + 5

54 = 49 + 5

54 = 54

Option 2 → 41 - 6

41 = (6)2 + 5

41 = 36 + 5

41 = 41

Option 3 → 86 - 9

86 = (9)2 + 5

86 = 81 + 5

86 = 86

Option 4 → 20 - 4

20 = (4)2 + 5

20 = 16 + 5

20 ≠ 21

Hence, the correct answer is "Option 4".

The logic followed here is:

In figure 1 to 2 and figure 3 to 4:

Bottom-middle and bottom-right symbols are interchanging their position and bottom-left symbol is the same.

All middle symbols and all top-symbols are interchanging their position with each other in clockwise.

In figure 2 to 3 and figure 4 to 5:

Top-middle and top-right symbols are interchanging their position and top-left symbol is the same.

All middle symbols and all bottom-symbols are interchanging their position with each other in clockwise.

Hence, the correct answer is "Option 4".

The logic followed here is:

Thus, 'RAJ' will be the next in the series.

Hence, the correct answer is "Option 4".

The logic followed here is:

HJS : JNV

And,

ACJ : CGM

Similarly,

ORC : QVF

Hence, the correct answer is "Option 2".

Given word: ENGLISH

So, position of one letter remain unchanged after the rearrangement.

Hence, the correct answer is "Option 3".

Given: 16 = 4 × 5 ÷ 2 - 8 + 18

According to the question, after interchanging the signs:

Option 1) + and ×

16 = 4 × 5 ÷ 2 - 8 + 18 ⇒ 16 = 4 + 5 ÷ 2 - 8 × 18

⇒ 16 = 4 + 5 ÷ 2 - 8 × 18

⇒ 16 = 4 + 2.5 - 8 × 18

⇒ 16 = 4 + 2.5 - 144

⇒ 16 = 6.5 - 144

⇒ 16 ≠ -137.5 (LHS ≠ RHS)

Option  2) - and =

16 = 4 × 5 ÷ 2 - 8 + 18 ⇒ 16 - 4 × 5 ÷ 2 = 8 + 18

⇒ 16 - 4 × 5 ÷ 2 = 8 + 18

⇒ 16 - 4 × 2.5 = 26

⇒ 16 - 10 = 26

⇒ 6 ≠ 26 (LHS ≠ RHS)

Option  3) + and -

16 = 4 × 5 ÷ 2 - 8 + 18 ⇒ 16 = 4 × 5 ÷ 2 + 8 - 18

⇒ 16 = 4 × 5 ÷ 2 + 8 - 18

⇒ 16 = 4 × 2.5 + 8 - 18

⇒ 16 = 10 + 8 - 18

⇒ 16 = 18 - 18

⇒ 16 ≠ 0 (LHS ≠ RHS)

Option  4) = and +

16 = 4 × 5 ÷ 2 - 8 + 18 ⇒ 16 + 4 × 5 ÷ 2 - 8 = 18

⇒ 16 + 4 × 5 ÷ 2 - 8 = 18

⇒ 16 + 4 × 2.5 - 8 = 18

⇒ 16 + 10 - 8 = 18

⇒ 26 - 8 = 18

⇒ 18 = 18 (LHS = RHS)

Hence, "Option 4" is the correct answer.

The logic followed here is:

thus, "175" will replace the question mark in the given series.

Hence, the correct option is "Option 1".

Pattern followed here is,

7 × 3 + 4 = 25

25 × 3 + 4 = 79

79 × 3 + 4 = 241

241 × 3 + 4 = 727

727 × 3 + 4 = 2181 + 4 = 2185

Hence, the correct answer is “Option 1”.

Seven persons : A, B, C, D, E, F and G.

i) Four people live between F and E.

ii) F does not live on top floor or ground floor.

iii)G lives immediately above or below the floor on which F lives.

iv) Three persons live between A and G.

v) G lives on a floor below D.

This eliminates case 2.

vi) D and C are immediate neighbours.

vii) More than two persons live between E and D.

1. C lives on floor no. 3. → False

2. Only two persons live above B. → False

3. As many persons live above A as many person live below C. → False

4. Three persons live between A and G. → True

Hence, 'Three persons live between A and G.' can be drawn from the given information.