Correct Answer: 72 km/h

Solution : Let the speed of the car be $x$ km/h.
According to the question,
Relative speed $= (x - 42)$ km/h
Distance $= 30 + 60 = 90$ km
Now the speed of the car will be
$⇒ x - 42 = \frac{90}{3}$
$⇒ x - 42 = 30$
$⇒ x = 30 + 42 = 72$ km/h
Hence, the correct answer is 72 km/h.

Correct Answer: Mirabai

Solution : The correct answer is Mirabai.

Mirabai was a Rajput princess and a prominent figure in the Bhakti movement of medieval India. She was born into the Rathore clan of Rajputs in the late 15th century. Mirabai is renowned for her unwavering devotion to Lord Krishna, and her devotional songs, known as bhajans, are dedicated to him.

Correct Answer: A person of the age of 30 years can become the Governor

Solution : The correct option is A person of the age of 30 years can become the Governor.

The President appoints the Governor. The Governor holds office at the pleasure of the President. A person can run for Governor once they become 35. To be a governor, he or she must be an Indian citizen. The President receives the resignation of the Governor.

Correct Answer: despoil

Solution : The first option is correct.

Ruin means to cause severe damage, and despoil refers to the act of plundering. Both involve causing harm or damage, so despoil is the appropriate synonym for the word ruin.

The meanings of the other options are as follows:

• Fix means to repair or mend something that is broken.
• Revamp means to give a new and improved form to something.
• Recover means to become completely well again.

Therefore, the correct answer is despoil.

Correct Answer: 18 sq. units

Solution :
$9x+4y=36$ can be written as
$\frac{9x+4y}{36}=1$
$⇒\frac{x}{4} + \frac{y}{9} = 1$
$\therefore$ Area = $\frac{1}{2}\times OA\times OB=\frac{1}{2}\times 4 \times 9$ = 18 sq. units
Hence, the correct answer is 18 sq. units.

Correct Answer: 52

Solution : We know, Average = $\frac{\text{Sum of all the scores of the students}}{\text{No. of students}}$
The sum of the scores of all 45 students = Average × No. of students = 52 × 45 = 2340
Now, A group of 6 boys leaving the class, the average score is 40
⇒ Sum of the scores of 6 boys = Average × No. of students = 40 × 6 = 240
⇒ Sum of the scores of 8 boys joining the class = Average × No. of students = 43 × 8 = 344
Now, the average score of the class
$=\frac{\text{Total Sum - Sum of scores of students leaving class + Sum of scores of students joining class }}{\text{Total number of students - Number of students leaving + number of students joining}}$
$=\frac{2340-240+344}{45-6+8}=\frac{2444}{47}=52$
Hence, the correct answer is 52.

Correct Answer: Jains

Solution : The correct answer is Jains.

Mahavir Jayanti is an important festival for the Jain community. It commemorates the birth of Lord Mahavir, the 24th Tirthankara and a key figure in Jainism, believed to have been born in the 6th century BCE. The day is marked by prayers, processions, and charitable activities among the Jain followers.

Correct Answer: INR 50.12

Solution : First discount = 35% of 700
Successive discounts = 18% and 12%
Effective discount = $18+12-\frac{18×12}{100}= 30-2.16 = 27.84$%
Second discount = 27.84% of 700
Required difference = (35 – 27.84)% of 700
= 7.16% of 700
= 0.0716 × 700
= 50.12
Hence, the correct answer is INR 50.12.

Correct Answer: Brazil

Solution : The correct option is Brazil.

The President of Brazil, Jair Bolsonaro, was invited as the Chief Guest for the Republic Day parade on January 26, 2020. His invitation reflected various geopolitical considerations and aimed to strengthen India's ties with Brazil in areas like trade, defence, and technology cooperation.

Correct Answer: Set aside

Solution : The correct answer is the third option.

The most appropriate phrase for the underlined segment in the given sentence is: Set aside

The phrase "set aside" is commonly used to express the action of rejecting or nullifying a judgment. It is used in legal contexts to indicate the act of declaring a judgment or decision as invalid or not applicable. When the Chief Justice "set aside" the judgement, it means that the judgment was rejected or nullified.

The meanings of the other options are as follows:

Seen through: To understand completely; not suitable for rejecting a judgement.

Stand out: Be easily noticeable; not appropriate for the context of judgement rejection.

Run in: encounter or be involved; does not convey the Chief Justice's rejection of the judgement.

Therefore, the correct phrase is set aside.