The embedded part of this image is:

Hence, the correct answer is "Option (2)".

Statements:

No girl is a horse.

Rachel is a girl.

The Venn diagram as per the given statements:

Conclusions:

I. Rachel is not a horse. → Follow (Rachel is a girl, and no girl is a horse, which means Rachel is not a horse is definitely true)

II. All girls are not Rachel. → Does not follow (Rachel is a girl, which means all girls are Rachel)

Hence, the correct answer is "Only conclusion (I) follows".

Given:

KITCHEN : TIKCNEH :: PLUMBER : ?

Logic: The alphabet changes diagonally which is in odd places.

KITCHEN : TIKCNEH →

Here, 'PLUMBER' is coded as 'ULPMREB'.

Hence, the correct answer is "Option (2)".

As per the given information:

1. Bunty is taller than only three brothers.

_ > _ >  Bunty > _ > _ > _

2. Faisal is only taller than Deepak.

_ > _ >  Bunty > _ > Faisal > Deepak

3. Chandu is shorter than Aman only.

Aman > Chandu >  Bunty > _ > Faisal > Deepak

4. The remaining brother Emad is taller than Faisal and shorter than Bunty.

Aman > Chandu >  Bunty > Emad > Faisal > Deepak

Here, 'Emad' is the fourth tallest.

Hence, the correct answer is "Option (2)".

Here, we use the table given below:

Given equations:

⇒ 84 ÷ 6 + 16 - 14 × 2 = 10

Checking all the given options:

(1) 6 and 14

⇒ 84 ÷ 6 + 16 - 14 × 2 = 10

After interchanging:

⇒ 84 ÷ 14 + 16 - 6 × 2 = 10

Apply BODMAS rule:

⇒ 6 + 16 - 6 × 2

⇒ 6 + 16 - 12

⇒ 22 - 12 = 10

⇒ '84 ÷ 14 + 16 - 6 × 2 = 10'

Here, the equation is satisfied.

(2) 2 and 84

⇒ 84 ÷ 6 + 16 - 14 × 2 = 10

After interchanging:

⇒ 2 ÷ 6 + 16 - 14 × 84 = 10

Apply BODMAS rule:

⇒ 0.33 + 16 - 14 × 84

⇒ 0.33 + 16 - 1176

⇒ (-1159.67)

⇒ '2 ÷ 6 + 16 - 14 × 84 = (-1159.67)'

Here, the equation is not satisfied.

(3) 10 and 14

⇒ 84 ÷ 6 + 16 - 14 × 2 = 10

After interchanging:

⇒ 84 ÷ 6 + 16 - 10 × 2 = 14

Apply BODMAS rule:

⇒ 14 + 16 - 10 × 2

⇒ 14 + 16 - 20

⇒ 30 - 20 = 10

⇒ '84 ÷ 6 + 16 - 10 × 2 = 10'

Here, the equation is not satisfied.

(4) 6 and 10

⇒ 84 ÷ 6 + 16 - 14 × 2 = 10

After interchanging:

⇒ 84 ÷ 10 + 16 - 14 × 2 = 6

Apply BODMAS rule:

⇒ 8.4 + 16 - 14 × 2

⇒ 8.4 + 16 - 28

⇒ 24.4 - 28 = (-3.6)

⇒ '84 ÷ 10 + 16 - 14 × 2 = (-3.6)'

Here, the equation is not satisfied.

Hence, the correct answer is "Option (1)".

Here, we use the table given below:

Logic: 1 is subtracted from each alphabet positional value to form code.

‘HERO' is coded as '7, 4, 17, 14' →

Statements:

Some kings are rich.

Some rich are proud.

The Venn diagram as per the given statements is:

Conclusions:

I. Some kings are not proud → Does not follow (Because there is no definite relation given between kings and proud, so it can be possible but not definitely true)

II. Some rich are not proud → Does not follow (Both the statements are positive so the conclusion should also be positive, Some rich are not proud can be possible but not definitely true)

Hence, the correct answer is "Neither conclusion I nor II follows".

Here, we use the table given below:

Logic: 1 is subtracted and 1 is added alternately to the position value according to the English alphabetic series.

'SPEAKER' is written as 'RQDBJFQ' →

Here, 'MOBILE’ is written as 'LPAJKF'.

Hence, the correct answer is "Option (4)".

Given:

First row- 6, 216, 180

Second row- 8, 512, 448

Third row- 10, 1000, ? 

Logic: 'Row wise'

First row → [(First no.), (First no. × First no. × First no.), {First no. × First no. × (First no. - 1)}]

First row- 6, 216, 180→

⇒ [(6), (6 × 6 × 6), {6 × 6 × (6 - 1)}]

⇒ [(6), (6 × 6 × 6), {6 × 6 × (5)}]

⇒ (6, 216, 180)

Second row- 8, 512, 448→

⇒ [(8), (8 × 8 × 8), {8 × 8 × (8 - 1)}]

⇒ [(8), (8 × 8 × 8), {8 × 8 × (7)}]

⇒ (8, 512, 448)

Similarly,

Third row- 10, 1000, ?→

⇒ [(10), (10 × 10 × 10), {10 × 10 × (10 - 1)}]

⇒ [(10), (10 × 10 × 10), {10 × 10 × (9)}]

⇒ (10, 1000, 900)

Here, the question mark(?) is replaced by '900'.

Hence, the correct answer is "Option (3)".

Given:

5 : 125 :: 8 : ?

Logic:

Second number = (First number)³

5 : 125 →

125 = (5)³

Similarly, for '8 : ?' →

(8)³ = 512

Here, '8 : 512' is the correct pair.

Hence, the correct answer is "Option (1)".