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BODMAS Table: 

The logic followed here is to interchange the given numbers and verify the equation using the BODMAS rule.

Given equation: (21 × 2) ÷ 3 + 15 × 5 − 19 × 4 + 36 + 7 × 6 = 57

For Option (1): Interchanging 4 and 5

After interchanging numbers 4 and 5, the equation becomes:

(21 × 2) ÷ 3 + 15 × 4 − 19 × 5 + 36 + 7 × 6 = 57

• LHS = (42) ÷ 3 + 15 × 4 − 19 × 5 + 36 + 7 × 6
• LHS = 14 + 15 × 4 − 19 × 5 + 36 + 42
• LHS = 14 + 60  + 36 + 42 − 95
• LHS = 74 + 36 + 42 − 95
• LHS = −21 + 36 + 42
• LHS = 15 + 42
• LHS = 57

Comparing LHS with Right Hand Side (RHS):

• 57 = 57
• LHS = RHS

Hence, the correct answer is "option 1"

• Tanmay starts from Point Y and drives 23 km towards West. He then takes a right turn, drives 63 km, turns right and drives 31 km.
• He then takes a right turn and drives 27 km.
• He takes a right turn, drives 79 km.
• He then turns left, drives 36 km to stop at Point Z

The Final Diagram , 

The shortest distance is 71 km and the direction is East.

Hence, the correct answer is "Option 1"

Gievn: Seven people A, B, C, D, E, F and G are sitting around a circular table facing towards the centre of the table.

1. E sits second to the left of F.
2. A is sitting immediately between B and C.
3. D sits to the immediate right of C.

The Final Arrangement is, 

The person sitting immediately between them at pos(2) is G.

Hence, the correct answer is 'Option 4'.

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

Given : M + A @ R ? C : H

​Therefore, M and R are sisters, and R is the mother of H → M is the Mother's sister of H.

Hence, the correct answer is 'Option 1'.

BODMAS Table: 

Given Expression:(96 Q 12) P 5 S (42 Q 7) P 8 R 12 P 5 = ?

After replacing the letters and applying the BODMAS rule:

= (96 ÷ 12) × 5 + (42 ÷ 7) × 8 − 12 × 5

=  8 × 5 + 6 × 8 − 12 × 5

= 40 + 48 − 60

= 88 − 60

= 28

Hence, the correct answer is "Option 4"

Given: (left) 9 3 1 2 6 8 4 5 3 9 7 2 4 5 1 8 2 3 5 9 8 5 7 3 5 6 (right)

Required Conditions: Even Digit - Odd Digit -  Odd Digit.

(left) 9 3 1 2 6 8 4 5 3 9 7 2 4 5 1 8 2 3 5 9 8 5 7 3 5 6 (right)

 4 5 3  4 5 1  2 3 5

Hence, the correct answer is 'Option 2'.

The logic followed here is:

• Rank of Raman from the top = 25^th
• Rank of Raman from the bottom = 67^th

Total number of students = (Rank from the Top + Rank from the Bottom) − 1

= (25 + 67) − 1

= 92 − 1

= 91

There are 91 students in the class.

Hence, the correct answer is 'Option 2'.

The logic followed here is:

Therefore, the code for the letter 'T' is 4.

Hence, the correct answer is "option 2."

The Logic followed here is:

Logic: Each group of letters in the triad is formed by rearranging the letters of the first word based on their positions.

For MEGA − EAGM − AGEM,

For TONS − OSNT − SNOT

Applying the same logic for KITE − IETK − ETIK:

Hence, the correct answer is "option 1"

The logic follows here, 

Combining the results, the missing cluster is TV1.

Hence, the correct answer is "Option 4".