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The logic is,

BER : 117

Reverse letter of B → Y; Position value of Y = 25

Position value of  E = 5 (Vowels not changed to reverse letter)

Reverse letter of R → I; Position value of I = 9

25 + 5 + 9 = 39

39 x 3 = 117

Similarly,

SOR : ?

Reverse letter of S→ H; Position value of H = 8

Position value of  O = 15 (Vowels not changed to reverse letter)

Reverse letter of R → I; Position value of I = 9

8 + 15 + 9 = 32

32 x 3 = 96

Hence, 96 is related to SOR in the same way as 117 is related to BER.

The least possible Venn diagram for the given statements is as follows,

Conclusions:

I. Some white are green → False (it may be possible but not definite)

II. Some white are not green → True. (As red are not green and red is a part of the white, so that part of white can never be green)

Hence, only conclusions II follows.

Logic : 

1. Position value according to the English alphabetic series is written.
2. Double digits position values according to the English alphabetic series are made to a single digit by adding digits within the number.

So,

• 'BEAR’ is written as '2519'

And, 

• ‘TURN’ is written as ‘2395'

Similarly,

• 'SING' is written as:

Hence, "1957" is the correct answer.

According to the given information,

Here, we can see that the code for Hell is 'hau'.

Hence, the correct answer is "hau".

Given data :

The position of Raghu from the right end of the row is: 11

It is given that there are 10 people sitting between Raghu and Linga. So, Linga cannot sit on the right side of Raghu, as there is a maximum of 9 people who can sit between Raghu and Linga. So Linga will sit on the left side of Raghu.

Linga’s position from the right end = Position of Ragu from the right end + 10 + 1 = 11 + 10 + 1 = 22

It is given that Arun, Linga, and Bala are immediate neighbours and Arun sits exactly between Linga and Bala.

Position of Arun from the right end = Linga’s position from right + 1 = 22 + 1 = 23

Position of Bala from the right end = Linga’s position from right + 2 = 22 + 2 = 24

Bala is 15^th from the left end of the row.

Hence, total number of persons in a row = Position of Bala from right end + Position of Bala from left end – 1 = 24 + 15 – 1 = 38

Hence, ‘38 persons’ sit in a row.

Given number: 12527193

Forward: (1, 2), (7, 9), (5, 7), (1, 3), (5, 9).

Hence, we can see that five such pairs are there.

The logic followed with every steps:

The elements are added in a ‘Z’ pattern. The circle is alternatively shaded. the diagonal elements are showing mirror image as per the sequence of addition.

Hence, the correct answer is option 1.

The logic followed is:

Logic: The relation between two words has to be found out.

For, "Landscape" and "Terrain"

The Synonym of Landscape is Terrain.

Now, we have to find the Synonym of "Authority"

Meaning:  The power or right to give orders.

For, "Option1: Save".→ False

As it is an antonym of Authority. 

For, "Option2: Sway".→ True.

Sway word is related to Authority.

Meaning: Rule or Govern.

For, "Option3: Extricate".→ False

As it is an antonym of Authority. 

For, "Option4: Let out".→ False.

As it is an antonym of Authority.

Hence, it is the Synonym of "Authority".

Hence, the correct answer is "Sway".

Given that,

Y sits third to the left of W. X sits fifth to the right of Y. U, who sits at one of the extreme ends, sits to the immediate left of Y.

T sits to the right of W. S sits immediate right of V.

So, we have only one place for T i.e., immediate right of W.

The final arrangement is as follows:

So, S sits 2^nd to the left of T.

Hence, S is the correct answer.

The logic is here is:

(2^nd number)² + (2^nd number × 2) + 3 = 1^st number.

Now, follow the logic:

Option (1): 198 ∶ 13

(13)² + (13 × 2) + 3 = 169 + 26 + 3 = 198 = 1^st number.

This option follows the pattern.

Option (2): 280 ∶ 25

(25)² + (25 × 2) + 3 = 625 + 50 + 3 = 633 ≠ 1^st number.

This option do not follow the pattern.

Option (3): 363 ∶ 18

(18)² + (18 × 2) + 3 = 324 + 36 + 3 = 363 = 1^st number.

This option follows the pattern.

Option (4): 578 ∶ 23

Now, follow the logic:

(23)² + (23 × 2) + 3 = 529 + 46 + 3 = 578 = 1^st number.

This option follows the pattern.

Hence, pair “280 ∶ 25” is an odd one.