Correct Answer: 7

Solution : Given:
RHETORIC is coded as 6 and GURGLE is coded as 4. 

Subtract 2 from the total number of letters in the word RHETORIC to obtain the required code –
RHETORIC: 8 – 2 = 6
Thus, RHETORIC is coded as 6.
And in, GURGLE is coded as 4 –
GURGLE: 6 – 2 = 4
Thus, GURGLE is coded as 4.
Similarly, follow the same pattern for SIGNATURE –
SIGNATURE: 9 – 2 = 7

Thus, SIGNATURE is coded as 7. Hence, the second option is correct.

Correct Answer: Only conclusion (II) follows

Solution : The possible Venn diagram according to the statements given in the question –

Let's check each conclusion –
Conclusions I: Some walls are dances – According to the Venn diagram, there is no definite relation between walls and dances. Therefore, this conclusion does not follow.
Conclusion II: Some groups are art – According to the Venn diagram, the circle of groups and art intersect and have some common area between them. Therefore, this conclusion follows.

So, the only conclusion II follows. Hence, the fourth option is correct. 

Correct Answer: SUQP

Solution : Given:
EGCB is related to MOKJ and PRNM is related to XZVU.

Add 8 in the place value of the letters of EGCB, to get the required code –
E + 8 = M; G + 8 = O; C + 8 = K; B + 8 = J
Thus, EGCB is coded as MOKJ.
And, PRNM is related to XZVU –
P + 8 = X; R + 8 = Z; N + 8 = V; M + 8 = U
Thus, PRNM is coded as XZVU.
Similarly, follow the same pattern for KMIH –
K + 8 = S; M + 8 = U; I + 8 = Q; H + 8 = P

So, KMIH is related to SUQP. Hence, the first option is correct.

Correct Answer: 61

Solution : Given:
16, 19, 25, 34, 46, ?

Add the consecutive multiples of 3 to each term to get the next term.
16 + 3 = 19; 19 + 6 = 25; 25 + 9 = 34; 34 + 12 = 46; 46 + 15 = 61

So, 61 is the missing number of the series. Hence, the second option is correct.

Correct Answer: 4.19

Solution : Given, $\cos A=\frac{63}{65}$
We know, $\sin A = \sqrt{1-\cos^2 A}$
$⇒\sin A = \sqrt{1-(\frac{63}{65})^2}$
$⇒\sin A = \sqrt{(\frac{256}{65^2})}$
$\therefore \sin A =\frac{16}{65}$
Now, $\tan A+\cot A$
= $\frac{\sin A}{\cos A}+\frac{\cos A}{\sin A}$
= $\frac{\sin^2 A + \cos^2 A}{\sin A \cos A}$
= $\frac{1}{\sin A \cos A}$
= $\frac{65\times 65}{63\times 16}$
= $4.19$
Hence, the correct answer is 4.19.

Correct Answer: UK

Solution : The correct answer is the UK.

The leader of the majority party is chosen to serve as Prime Minister or Chancellor. Because it ensures accountability, flexibility, representation, and stability, India's parliamentary system of government was adapted from the British Constitution. A parliamentary government is a democratic form of government where the political party that wins the most seats in the parliament during the federal election forms the government.

Correct Answer: Sister

Solution : According to the above information, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, the girl is Mahesh's sister. Hence, the first option is correct.

Correct Answer: $\frac{3}{4}$

Solution : Let's assume the fraction is $x$.
$⇒2x+\frac{1}{x}=\frac{17}{6}$
Multiplying both sides by $x$, we get,
$⇒2x^2+1=\frac{17x}{6}$
$⇒2x^2-\frac{17x}{6}+1=0$
Multiplying both sides by 6, we get,
$\Rightarrow 12x^2-17x +6=0$
$\Rightarrow (3x-2)(4x-3)=0$
$\Rightarrow (3x-2)$ or $(4x-3)=0$
$\Rightarrow x=\frac{2}{3}$ or $x=\frac{3}{4}$
After checking the options we get, $x=\frac{3}{4}$
Hence, the correct answer is $\frac{3}{4}$.

Correct Answer: (1)

Solution : The sentence can be improved using the first option.

Dictator means a ruler who has total power over a country that is typically controlled by force, and it fits correctly in the context of the sentence.

The meanings of the other options are as follows:

• Potentate means someone who holds great influence and has total authority over a region.
• A militant is someone who is actively engaged in armed conflict.
• A ruler is someone who governs a region and can come into power through various means and exercise power through the legal framework.

Therefore, the correct sentence would be: Hitler was an absolute dictator.

Correct Answer: International level

Solution : The correct option is International Level.

When a company sells its products in a foreign market at a price lower than the domestic market or production cost, this can harm domestic industries in the importing country, potentially leading to anti-dumping measures.