Correct Answer: No Improvement

Solution : The correct choice is the first option.

The given sentence is in the past tense. It doesn't need any improvement, as it uses the correct verb form to maintain grammatical accuracy and report the event correctly that has happened in the past.

Therefore, the given sentence is correct and requires no improvement.

Correct Answer: 3

Solution : $9\sqrt{x} = \sqrt{12} + \sqrt{147}$
⇒ $9\sqrt{x} = 2\sqrt{3} + 7\sqrt{3}$
⇒ $9\sqrt{x} = 9\sqrt{3}$
$\therefore x = 3$
Hence, the correct answer is 3.

Correct Answer: Consider

Solution : The correct choice is the fourth option.

Consider means to think about something, typically before making a decision or forming an opinion. It involves examining or reflecting on various aspects of a situation.

The meanings of the other options are as follows:

• Supplicate means to earnestly and humbly ask for something, typically in the form of a request.
• Dramatise refers to the act of turning something, such as a story, event, or situation, into a dramatic form.
• Formerly display seems like an incomplete or unclear phrase. "Formerly" generally means in the past or previously, while "display" refers to exhibiting or showing something. Together, they do not form a typical phrase with a specific meaning.

Therefore, the correct sentence is: Consider what happens when you walk into a fast-food restaurant.

Correct Answer: Andhra Pradesh

Solution : The correct answer is Andhra Pradesh.

Gurunaidu Sanapathi has become India's first weightlifter to win a gold at the IWF Youth World Championship in Leon, Mexico. The 16-year-old claimed the medal with a total effort of 230 kg (104 kg + 126 kg) in the boy's 55 kg.

Correct Answer: Ambivert

Solution : The correct choice is the second option.

Ambivert: It denotes a person who has a balance of extrovert and introvert features in their personality.

The meanings of the other options are:

• Stoic: It denotes suffering pain or difficulty without complaining.
• Ambiguous: It means having more than one possible meaning.
• Dual: It denotes consisting of two parts.

Therefore, the correct word will be ambivert.

Correct Answer: 10

Solution : Given number = $620x976y52$
Co-prime factors of $88 = 8 × 11$
For the smallest possible value of $y$,
$y52$ will be divisible by 8
So, $y$ will be 1 for 152, which is divisible by 8.
As $y = 1$, the possible value of x for which $620x976152$ is divisible by 11.
Sum of even places in number $= 2 + x + 7 + 1 + 2 = 12 + x$
Sum of odd places in number $= 6 + 0 + 9 + 6 + 5 = 26$
For divisibility rule 11: The difference between the sum of digits at odd places and the sum of digits at even places is equal to zero or a multiple of 11.
AT $x=3$, difference = 26 – 15 = 11
$\therefore$ Value of $x^2 + y^2=(3)^2 + 1^2=9 + 1=10$
Hence, the correct answer is 10.

Correct Answer: July 29th

Solution : The correct option is July 29th.

International Tiger Day is observed on July 29th every year. This day is dedicated to raising awareness about tiger conservation and the need to protect the habitats of these magnificent creatures. Various organisations and initiatives use this day to highlight their efforts to conserve tigers and their habitats. This includes projects related to anti-poaching measures, habitat preservation, and community involvement.

Correct Answer: $\frac{25}{7}$

Solution : We know if $\operatorname{cosec}x + \cot x = a$, then $\operatorname{cosec} x - \cot x = \frac{1}{a}$
Given, $\operatorname{cosec} A+\cot A=7$ ........(1)
⇒ $\operatorname{cosec} A-\cot A=\frac17$ .........(2)
Solving these equations to get the value of $\operatorname{cosec} A$
(1) + (2), we get,
⇒ $\operatorname{cosec} A+\cot A+\operatorname{cosec} A-\cot A=7+\frac{1}{7}$
⇒ $2\operatorname{cosec} A = \frac{49+1}{7}$
⇒ $2\operatorname{cosec} A = \frac{50}{7}$
$\therefore \operatorname{cosec} A = \frac{25}{7}$
Hence, the correct answer is $\frac{25}{7}$.

Correct Answer: Sculptor-Chisel

Solution : Let's check each option –
First option: Scalpel - Surgeon; The scalpel is an essential tool used by surgeons.
Second option: Axe - Woodcutter; An axe is a tool used by woodcutter.
Third option: Sword - Warrior; A sword is used by a warrior.
Fourth option: Sculptor - Chisel; a sculptor is a person who carves figures or forms of clay, stone, metal, wood, etc. 

So, the fourth option does not follow the pattern as followed by the other given pairs.
Hence, the fourth option is correct.

Correct Answer: 117

Solution : Given:
A stands for ÷, B stands for ×, C stands for +, D stands for – 
13 B 145 A 29 C 69 D 17 = ?

Changing the sign as per the instruction and solving the equation, we will get –
= 13 × 145 ÷ 29 + 69 – 17
= 13 × 5 + 69 – 17
= 65 + 69 – 17
= 117

So, 117 is the required answer. Hence, the fourth option is correct.