Correct Answer:

Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear as the right side, and the right side will appear as the left side. However, the top and bottom of the reflected image will remain the same.

Thus, the correct mirror image of the given figure will be –

Hence, the third option is correct.

Correct Answer: Stephen Hawking

Solution : The correct answer is Stephen Hawking.

"A Brief History of Time: From the Big Bang to Black Holes" by physicist Stephen Hawking, published in 1988, explores theoretical cosmology in accessible language for readers with no physics background. He delves into the universe's structure, origin, development, and ultimate fate, providing insights into astronomy and modern physics. The book serves as a bridge between complex scientific concepts and a wider audience.

Correct Answer: Sania Mirza

Solution : The correct answer is Sania Mirza.

The autobiography of Sania Mirza, India's top female tennis player, is titled "Ace Against Odds". In 2016, her autobiography was released. She was also ranked number one in doubles by the WTA for a spell in 2015. The book is her official biography, detailing her rise to become India's and the world's top female tennis player.

Correct Answer: 82

Solution : Given:
BOOK is coded as 47, and PEN is coded as 38. 

Add the positional value of the alphabets and the number of the alphabets of the given word to obtain a code.
BOOK→2 + 15 + 15 + 11 = 47; 43 + 4 = 47
PEN→16 + 5 + 14 + 3 = 35; 35 + 3 = 38
Similarly, NOTEPAD→14 + 15 + 20 + 5 + 16 + 1 + 4 = 75; 75 + 7 = 82

So, NOTEPAD is coded as 82. Hence, the second option is correct.

Correct Answer: 900

Solution : Given:
529 : 576 :: 841 : ?

Like, (23)² = 529; (24)² = 576 (23 and 24 are the consecutive numbers.)
Similarly, 841 = (29)²; the next number to 29 will be 30. So, (30)² = 900

So, 900 is the required answer. Hence, the fourth option is correct.

Correct Answer: themselves

Solution : The third option is correct.

In the sentence, the word "themselves" is necessary to complete the thought. It refers to individuals who have experienced rejection. The subject is likely plural, as the only options given are plural pronouns. So, the most appropriate reflexive pronoun for a plural subject is "themselves".

Therefore, the correct answer is themselves.

Correct Answer: $x$ - $y$

Solution : If the lengths of the parallel sides of a trapezium are $x$ cm and $y$ cm and its height is h cm then, the area of the trapezium = $\frac{1}{2}(x+y) × {h}$. 
${x}^2-{y}^2 = ({x}+{y})({x} - {y})$ 
The area of the trapezium = $\frac{1}{2}({x}^2- {y}^2)$ = $\frac{1}{2}({x}+{y})({x} - {y})$ 
⇒  $\frac{1}{2}({x}+{y}){h}$ = $\frac{1}{2}({x}+{y})({x} - {y})$ 
⇒ $h = x – y$
$\therefore$ The distance between the parallel sides (in cm) is $x – y$.
Hence, the correct answer is $x$ - $y$.

Correct Answer: B. R. Ambedkar

Solution : The correct option is B. R. Ambedkar.

Dr. B. R. Ambedkar, a prominent Indian jurist, social reformer, and political leader, is credited as the architect of the Indian Constitution. As the head of the drafting committee of the Constituent Assembly of India, responsible for creating the Constitution after India gained independence, his legal acumen, profound grasp of social matters, and dedication to justice were pivotal in shaping this important document.

Correct Answer: Chess

Solution : The correct answer is Chess.

Born on November 30, 1990, Sven Magnus Carlsen is a chess grandmaster from Norway. He holds the titles of five-time World Chess Champion, four-time World Rapid Chess Champion, and six-time World Blitz Chess Champion, and he is considered one of the finest players in chess history.

Correct Answer: inspired

Solution : The correct choice is the fourth option.

The word inspired fits well in the context of the sentence, conveying that the story had a positive impact or influence on the speaker, leading them to create imaginative or fancy names for themselves. Inspired in this context suggests motivation, creativity, or a positive prompting.

Therefore, the complete sentence is: "The story inspired me to make up fancy names for myself."