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The logic followed here is: 

Logic followed here is column wise → (1^st number + 3^rd number)3 = (2^nd number)3

1^st column → (2 + 4)³ = (6)³ ⇒ 216

2^nd column → (1 + 7)3 = (8)3 ⇒ 512

3^rd column → (3 + 6)3 = (9)3 ⇒ 729

Hence, "Option 1" is the correct answer.

The pattern followed here is:

X = 48

And,

ACT = 48

Similarly,

TRUE = ____

Hence, ‘Option 3’ is the correct answer.

According to the question:

Let say Ravi got a Number of Sums Right  = S

Then he got thrice as many sums wrong as he got right.

Number of Sums Wrong = 3 S

Total number of sums he solved =  Right Sums + Wrong Sums

Total number of sums he solved =  3S + S = 4S

4S = 72

S = 18

Solved correctly  = S = 18

Hence, "Option 3" is the correct answer.

The image embedded in the given figure is as shown below :

∴ Here, given figure is embedded in the option figure 1.

Hence, the correct answer is "Option 1".

The pattern followed here is:

Option 1) SO

Option 2) ME

Option 3) PL

Option 4) KG

Thus, 'ME' is the odd one out.

Hence, ‘Option 2’ is the correct answer.

The pattern followed here is:

Hence, ‘Option 3’ is the correct answer.

The pattern followed here is:

BGK : EJN

Similarly,

DSV : ___

Hence, ‘Option 3’ is the correct answer.

According to the given Venn diagram:

The shaded area represents dancers who are musicians but not actors → 9 + 8 = 17

Hence, the correct answer is "Option 4"

The logic followed here is:

14 : 67 → (14 × 5) - 3 = 70 - 3 ⇒ 67

Similarly,

19 : ___ → (19 × 5) - 3 = 95 - 3 ⇒ 92

Hence, "Option 1" is the correct answer.

Given:

Rakesh starts walking from his house and

then takes two left turns and

one right turn to reach the market.

he is facing north on reaching the market.

Thus, Rakesh is facing east when he started from his house.

Hence, the correct answer is "Option 3".