Correct Answer: 80°

Solution : $\triangle ABC \sim \triangle PQR$
⇒ $\angle C=\angle R$
In $\triangle ABC,$
$\angle A + \angle B + \angle C = 180°$
⇒ $35°+65°+\angle C = 180°$
⇒ $\angle C = 180° - 100°$
⇒ $\angle C = 80°$
⇒ $\angle R = 80°$
Hence,

Correct Answer: 14

Solution : Given that $x^2+\frac{1}{x^2}=4$,
Squaring both sides, we get,
$⇒(x^2+\frac{1}{x^2})^2 = 4^2$
$⇒x^4 + 2 + \frac{1}{x^4} = 16$
$⇒x^4 + \frac{1}{x^4} = 16 - 2 = 14$
Hence, the correct answer is 14.

Correct Answer: TEAM

Solution : Given:
CALCULATE

Now, let's compare all the option words with the word CALCULATE –
First option: CAT; All the letters of CAT are present in the word CALCULATE.
Second option: TEA; All the letters of TEA are present in the word CALCULATE.
Third option: LATE;

Correct Answer: 29 cm

Solution :
Given that OP = y cm, QP = 21 cm, OQ = 20 cm.
To find the length of OP, apply Pythagoras theorem in $\triangle$OPQ.
⇒ OQ² + QP² = OP²
⇒ 20² + 21² = y²
⇒

Correct Answer: 14

Solution : Let the number be $x$.
Reciprocal = $\frac{1}{x}$
According to the question,
$x + \frac{1}{x} = 4$
Squaring both sides, we get:
⇒ $(x + \frac{1}{x})^2 = 4^2$
⇒ $x^2+ \frac{1}{x^2}+2 = 16$
⇒ $x^2 + \frac{1}{x^2} = 16 - 2 = 14$
Hence, the

Correct Answer: QPRS

Solution : The fourth option is the correct choice.

The sentence should start with the subject and its description, followed by the reasons or evidence, and then its widespread recognition.

Therefore, the sentence in the correct order is: The Lotus Temple has always enjoyed an unparalleled popularity,

Correct Answer: 29

Solution : $117 ÷ 45 \;\text {of} \frac{1}{5} + \frac{12}{5} × \frac{20}{3}$ 
= 117 ÷ 9 + 4 × 4
= 13 + 16
= 29
Hence, the correct answer is 29.

Correct Answer: Both I and II

Solution : The correct option is Both I and II.

In a socialist system, there can be different degrees of government involvement, ranging from limited regulation and social ownership to more extensive control over the means of production.

In a socialist economy, the emphasis

Correct Answer: Sidgwick and Powell

Solution : The correct option is Sidgwick and Powell.

In 1940, Herbert Powell and Nevil Sidgwick proposed the notion that molecule shape and the number of valence electrons were correlated. They claimed that the number of valence electron pairs surrounding the core atom determines the

Correct Answer: Uniforms create a sense of belongingness

Solution : Let's analyse the given options –
First option: Students look smart in uniforms – In the above statement, there is no relation between smartness and uniforms. Thus, this conclusion doesn't follow.
Second option: Uniforms are compulsory – In the above