Correct Answer: Rs. 400; Rs. 500

Solution : The monthly income of two persons is in the ratio 4 : 5 and their expenditures are in the ratio 7 : 9.
Let the monthly income of one person be 4$x$ and that of another be 5$x$,
Let the monthly expenditure of one person be 7$y$ and that of another be 9$y$.
According to the question,
$4x-7y=50$ .........................(1)
$5x-9y=50$ ..........................(2)
Solving these equations we get,
$x=100$ and $y= 50$
So, the income of one person $=4×100=400$
and the income of another person $=5×100=500$
Hence, the correct answer is Rs. 400; Rs. 500.

Correct Answer: Goat

Solution : The correct option is Goat.

Goats are well-suited to hot and dry environments due to their capacity to endure relatively high temperatures. They have physiological adaptations and behaviours that help them deal with the summer heat, such as the capacity to save water and control body temperature by panting and finding shade.

Correct Answer: 9

Solution : According to the question,
⇒  $x^2+8 y^2-12 y-4 x y+9=0$
⇒ $x^2 - 4xy + 4y^2 + 4y^2 - 12y + 9 = 0$
⇒ $(x - 2y)^2 + (2y - 3)^2 = 0$
⇒ $x - 2y = 0, 2y - 3 = 0$
⇒ $x = 2y, 2y = 3$
⇒ $x = 3, y = \frac{3}{2}$
Now, $7x - 8y$ = 7 × (3) – 8 × $\frac{(3)}{2}$
 = 21 – 12
= 9
Hence, the correct answer is 9.

Correct Answer: consecutive

Solution : The fourth option is the correct answer.

Subsequent specifically implies coming after something else in time or order, indicating a chronological sequence.

On the other hand, consecutive also denotes a sequence of events occurring one after the other without interruption.

The meanings of the other options are as follows:

• Prior means existing or occurring before in time; earlier.
• Preceding means coming before in time or order; going before.
• Antecedent refers to something that comes before; a preceding event or circumstance.

Therefore, the correct answer is consecutive.

Correct Answer: 36

Solution : Let the numbers be $4x$ and $5x$.
According to the question,
$\frac{4x+4}{5x+4}=\frac{5}{6}$
$⇒24x+24=25x+20$
$⇒x=4$
Thus, the numbers are 16 and 20.
So, the sum of the numbers = 16 + 20 = 36
Hence, the correct answer is 36.

Correct Answer: Increases

Solution : The correct option is to increase.

The round hole in the centre of a metal plate enlarges when the plate is heated. The following causes account for this:
The molecules along the rim of the hole and all the other component molecules vibrate more when the metal plate is heated. The metal plate expands as a result of the molecules along the rim of the hole.

Correct Answer: 0

Solution : Given: The number is 246p48.
Taking the last 3 digits = p48
For the least value of p, putting p = 0, the number 048 is divisible by 8.
$\therefore$ 246048 is also divisible by 8.
Hence, the correct answer is 0.

Correct Answer: Part III

Solution : The correct option is Part III.

Part III of the Indian Constitution is often referred to as the "Magna Carta of India." It contains the fundamental rights guaranteed to the citizens of India. These fundamental rights are considered essential for the protection of individual liberties and form a crucial aspect of the constitutional framework. These rights are justiciable, meaning citizens can seek legal remedies if they believe their fundamental rights have been violated.

Correct Answer: redius

Solution : The first option is the correct answer.

The incorrectly spelled word is redius. The correct spelling is the radius, which means the distance from the centre to the outer edge of a circle.

The meanings of the other options are as follows:

• Realm refers to a kingdom or domain, often used figuratively to refer to a sphere of activity or knowledge.
• Resemble means to have a similar appearance or quality.
• Reliable means dependable and trustworthy.

Therefore, the correct answer is radius.

Correct Answer: Private sector was allowed in all industries.

Solution : The correct answer is the Private sector was allowed in all industries.

All of the options are part of the regulatory mechanisms that are in existence to enforce regulation of the industrial sector, except the "private sector was allowed in all industries". The main regulatory mechanisms in existence to enforce regulation of the industrial sector are the industrial licencing norms and controls on price fixation and distribution of selected industrial products.