Logic : (1st number × 3) + 3 = 2nd number

So, 

• Option - (1) : 2 : 9

2 × 3 + 3 = 9

6 + 3 = 9

9 = 9 (LHS = RHS)

• Option - (2) : 6 : 21​

6 × 3 + 3 = 21

18 + 3 = 21

21 = 21 (LHS = RHS)

• Option - (3) : 10 : 33  

10 × 3 + 3 = 33

30 + 3 = 33

33 = 33 (LHS = RHS)

• Option - (4) : 8 : 29

8 × 3 + 3 = 29

24 + 3 = 29

27 ≠ 29 (LHS ≠ RHS)

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

According to the sequence in the dictionary:

5. Carnival

4. Carousel

6. Carriage

2. Carrier

3. Carrying

1. Cartoon

Hence, the correct option is "5, 4, 6, 2, 3, 1".

Here, we use the BODMAS table given below:

Given:

⇒ 25 * 82 * 12 * 6 * 8 * 91

(1) -, ×, +, ÷, =

⇒ 25 * 82 * 12 * 6 * 8 * 91

After putting the signs:

⇒ 25 - 82 × 12 + 6 ÷ 8 = 91

Apply BODMAS rule:

⇒ 25 - 82 × 12 + 0.75

⇒ 25 - 984 + 0.75

⇒ 25.75 - 984 = (-958.25)

Here, the equation is not satisfied.

(2) ÷, +, -, ×, =

⇒ 25 * 82 * 12 * 6 * 8 * 91

After putting the signs:

⇒ 25 ÷ 82 + 12 - 6 × 8 = 91

Apply BODMAS rule:

⇒ 0.304 + 12 - 6 × 8

⇒ 0.304 + 12 - 48

⇒ 12.304 - 48 = (-35.69)

Here, the equation is not satisfied.

(3) +, -, ÷, ×, =

⇒ 25 * 82 * 12 * 6 * 8 * 91

After putting the signs:

⇒ 25 + 82 - 12 ÷ 6 × 8 = 91

Apply BODMAS rule:

⇒ 25 + 82 - 2 × 8

⇒ 25 + 82 - 16

⇒ 107 - 16 = 91

⇒ '25 + 82 - 12 ÷ 6 × 8 = 91'

Here, the equation is satisfied.

(4) ×, +, ÷, -, =

⇒ 25 * 82 * 12 * 6 * 8 * 91

After putting the signs:

⇒ 25 × 82 + 12 ÷ 6 - 8 = 91

Apply BODMAS rule:

⇒ 25 × 82 + 2 - 8

⇒ 2050 + 2 - 8

⇒ 2052 - 8 = 2044

Here, the equation is not satisfied.

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

Logic : (1st number) × (1st Number - 1)² = 2nd Number

• Option 01 : (7, 252)

​7 × 6² = 7 × 36 = 252

• Option 02 : (6, 216)

6 × 6² = 6 × 36 = 216

• Option 03 : (8, 392)

8 × 7² = 8 × 49 = 392

• Option 04 : (5, 80)

5 × 4² = 5 × 16 = 80

∴ Option 02 is the odd number pair.

Given : Seven persons are sitting around a circular dining table facing the towards the centre. 

Explanation : 

1) S is sitting to the immediate left of Y and third to the right of R.

2) R is sitting to the immediate left of A and immediate right of P.

3) A is sitting to the immediate left of D.

4) Q is sitting to the immediate left of P.

So, according to the question If D exchanges seat with Y and P with Q :- 

Thus, according to the final arrangement P is sitting to the immediate right of D.

Hence, "P" is the correct answer.

Given:

Given statement : S % D # F @ G & H @ J

So,

• S % D → S is the wife of D.

Thus, according to the final family tree F is the daughter of H.

Hence, "Daughter" is the correct answer.

Given : Certain number of people are positioned on a row and all of them are facing towards north direction. 

Explanation:

1) Prince is 5th from the right end.

2) Amit is 15th from the right end.

3) Amit is exactly between Prince and Aditya.

4) Aditya is sixth from the left end of the line.

Total number of people = 6 + 9 + 1 (Amit) + 9 + 5 = 30

Hence, "30" is the correct answer.

The three words that belong to the same group are Clarinet, Flute, and Piccolo because they are all musical instruments that are played by blowing into them.

On the other hand, Piano is a musical instrument that is played by pressing keys on a keyboard, which is different from the other three instruments.

Therefore, option 3 (Piano) does not belong to the same group as the other three words.

Hence, the correct answer is "Option 3".

Given : 268 * 4 * 8 * 5 * 14 = 41

According to the question, by replacing the *signs :

So,

• Option - (1) : + × − ÷ 

268 + 4 × 8 − 5 ÷ 14 = 41

268 + 4 × 8 − 0.35 = 41

268 + 32 - 0.35 = 41

300 - 0.35 = 41

299.65 ≠ 41 (LHS ≠ RHS) 

• Option - (2) : × ÷ + − 

268 × 4 ÷ 8 + 5 − 14 = 41

268 × 0.5 + 5 - 14 = 41

134 + 5 - 14 = 41

139 - 14 = 41

125 ≠ 41 (LHS ≠ RHS) 

• Option - (3) : ÷ × + −

268 ÷ 4 × 8 + 5 − 14 = 41

67 × 8 + 5 − 14 = 41

536 + 5 - 14 = 41

541 - 14 = 41

527 ≠ 41 (LHS ≠ RHS)

• Option - (4) : ÷ − × +

268 ÷ 4 − 8 × 5 + 14 = 41

67 − 8 × 5 + 14 = 41

67 + 14 - 40 = 41

81 - 40 = 41

41 = 41 (LHS = RHS)

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

Given : Each of A, B, C, D, E, F and G has an exam on a different day of a week starting from Monday and ending on Sunday of the same week.

Explanation : 

1) A has an exam on Wednesday.

2) Only one person has an exam between A and B.

As, Position of B with respect to A is not clear, therefore there are two possibilities for the position of B.

3) D has an exam on the day immediately before B.

4) Only one person has an exam between F and B. 

As D has an exam on the day immediately before B. Therefore Case- 1 is eliminated as there is no position for D.

5) G’s exam is on one of the days before A but on one of the days after C. 

After positioning C and G, only one position is left which will be occupied by the only person left i;e E.

Thus, according to the final arrangement G has exam on Tuesday.

Hence, "Tuesday" is the correct answer.