Correct Answer: five

Solution : The correct option is five.

The Indian Constitution's Article 243E states that Panchayats have a set five-year term starting on the date of their first meeting. The socioeconomic circumstances of women, particularly in rural regions, have improved by knowing their ability to participate in local processes.

Correct Answer: U is the mother’s brother of P

Solution : Given:
B % D ⇒ B is the brother of D
B & D ⇒ B is the mother of D
B × D ⇒ B is the husband of D
B # D ⇒ B is the sister of D
B + D ⇒ B is the son of D
B @ D ⇒ B is the father of D

As per the given information, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

Now, let's check the given options –
First option: P is the son of T – From the above family tree, it is evident that P is the son of S and T is the aunt of P. So, this option is incorrect.
Second option: S is the brother-in-law of T – From the above family tree, it is evident that S is the sister-in-law of T. So, this option is incorrect.
Third option: U is the mother’s brother of P – From the above family tree, it is evident that U is the mother’s brother (uncle) of P. So, this option is correct.
Fourth option: P is the daughter of T – From the above family tree, it is evident that P is the son of S and T is the aunt of P. So, this option is incorrect.

Hence, the third option is correct.

Correct Answer: Diminishing marginal utility

Solution : Law of diminishing marginal utility:-
The marginal utility of a commodity decreases as the quantity of goods increases, according to this principle. As a result, as the quantity increases, prices fall while demand rises. As a result, when prices are lower, consumers will demand more goods. As a result, the demand curve slopes downward.
Hence d is correct answer.

Correct Answer: Justice D.K. Jain

Solution : Correct answer is Justice D.K. Jain

The Law Commission of India is an executive body whose chief function is legal reforms in the country.

Justice D. K. Jain, Judge, Supreme Court of India, is the Chairman of the Twentieth Law Commission of India.

The Twentieth Law Commission was constituted through a Government Order with effect from 1st September, 2012. It has a three-year term ending on 31st August, 2015.

 The Union Government has appointed former Supreme Court (SC) judge Justice Balbir Singh Chauhan (66) as Chairman of the 21st Law Commission of India (LCI). Currently he is Chairman of the Cauvery River Water Disputes Tribunal. Earlier in September 2015, Union Government had constituted 21st LCI for period of 3 years with effect from 1 September 2015 to 31 August 2018.

Final answer is Justice D.K. Jain

Correct Answer: The law of conservation of energy

Solution : The correct option is The law of conservation of energy.

The law of conservation of energy is used in the first law of thermodynamics. According to it, energy can only alter its form and cannot be created or destroyed in a closed system. According to thermodynamics, this implies that energy can be exchanged between different forms (such as heat, work, or potential energy) but the overall amount of energy within a closed system remains constant.

Correct Answer: Gustav Robert Kirchhoff

Solution : The correct option is Gustav Robert Kirchhoff.

Kirchhoff's Current Law, formulated by Gustav Kirchhoff, states that at any junction (or node) in an electric circuit, the algebraic sum of the currents entering the junction is equal to the algebraic sum of the currents leaving the junction.

Correct Answer: Lord Macaulay

Solution : The correct option is Lord Mcaulay.

The Law Commission, constituted under the provisions of the Charter Act of 1833, was initially chaired by Lord Macaulay. Lord Macaulay was a British statesman, historian, and writer, and he played a significant role in the drafting, and implementation of the Indian Penal Code, and the Indian Evidence Act. He served as the Chairman of the First Law Commission from 1834 to 1838.

Correct Answer: 509 B.C.

Solution : The correct choice is the first option.

Explanation: The passage explicitly states: "Rome's era as a monarchy ended in 509 B.C. with the overthrow of its seventh king," signifying the transition from a monarchy to a republic. This date marks the shift in Rome's governance from a monarchy ruled by kings to a republic, where power shifted to elected magistrates and the Senate.

Therefore, the correct answer is: that Rome became a republic in 509 B.C.

Correct Answer: The marginal utility derived from the good decreases at a decreasing rate.

Solution : The correct answer is (d) The marginal utility derived from the good decreases at a decreasing rate.

According to the law of diminishing marginal utility, as a consumer consumes more of a good, the marginal utility derived from the good decreases at a decreasing rate.

As a consumer consumes more units of a good, the additional satisfaction or utility obtained from each additional unit decreases. This means that the marginal utility, which is the additional utility gained from consuming one more unit of the good, decreases. However, it's important to note that the total utility can still increase as long as the marginal utility is positive, but it increases at a decreasing rate.

Correct Answer: Mother-in-law

Solution : Following the instructions of the question, the family tree will be –

Here, the quadrilateral represents the male and the circular figure represents the female in the figure.

So, the lady in the portrait is the mother-in-law of Kanika. Hence, the first option is correct.