What is the general form of the general solution of a non-homogeneous DE (uh(t)= general solution of the homogeneous equation, up(t)= any particular solution of the non-homogeneous equation)?

Consider the Assertion (A) and Reason (R) and select the correct answer:
Assertion (A) If one premise is particular, the conclusion must be particular.
Reason (R) (i) An affirmative particular has no distributed terms, and a negative particular has an only one.
(ii) The premises cannot both be particular and thus must differ in quantity.

A

A and R both are true but R (i) and (ii) correct explanations of A

B

A and R both are true but R (i) is correct explanation of A

C

A and R both are true but R (ii) is a correct explanation of A

D

A is true, but R (i) and (ii) are incorrect explanations of A

Which of the following statement(s) is/are correct, regarding the duties and rights of the Attorney-General for India in performance of his duties?
1. The Attorney-General for India shall give advice to the Government of India upon legal matters.
2. The Attorney-General for India shall have a right to audience in all Courts in India.
3. The Attorney-General for India shall have the right to speak in the proceedings of either House.
4. The Attorney-General for India shall not be liable to any proceedings in any court in respect of anything said by him in Parliament or any committee thereof.

A

1 and 2 only

B

1, 2 and 3 only

C

All of these statements are correct

D

1 only

How can we find the solution of a nonhomogeneous system of equations without dealing with the rank of matrices?

A

Rouche’s theorem

B

Cramer’s rule

C

Gauss’s law

D

Cannot be done

Consider the following statements:
1. Parliament shall, while a proclamation of Emergency is in operation, have the power to make laws of the whole or any part of territory of India with respect to any of the matters enumerated in the list
2. Parliament has exclusive power to make any law with respect to any matter not enumerated in the Concurrent List or State List
3. Parliament has power to make any law for the whole or any part of the territory of India for implementing any treaty, agreement, or convention with any other country
4. Parliament has power to legislate with respect to a matter in the State List in the national interest subject to the resolution passed by the Council of States by two-thirds majority
Which of these statements are correct?

A

1, 2 and 3

B

1, 2, 3, and 4

C

1, 3 and 4

D

2 and 4

A particular solution for an equation is derived by substituting particular values to the arbitrary constants in the complete solution.

A

True

B

False

Which of the following statement is true? I. In homogeneous reactors the nuclear fuel and the moderator represents a uniform mixture in the fluid form. II. In heterogeneous reactors separate fuel sludge or roads are inserted in the moderator III. Most of the nuclear reactors used these days are of homogeneous type

A

Only statement I and II are true

B

Only statement I and III are true

C

Only statement II and III are true

D

Only statement III is true

Consider the following statements:
1. The Supreme Court has original jurisdiction in any dispute between the Government of India and one or more States.
2. The Supreme Court has original jurisdiction in any dispute between the Government of India and any State or States on one side and one or more other State on the other.
3. The Supreme Court has original jurisdiction in any dispute between the Government of India and any corporation of Individual one side and one or more States on the other.
4. The Supreme Court has original jurisdiction in any dispute between two or more States.
Which of these statements are correct?

A

1 and 2

B

1, 2 and 4

C

3 and 4 only

D

1, 2, 3 and 4

Consider the following statements about the residuary powers of the legislations:
1. The Parliament has exclusive power to make any law with respect to any matter not enumerated in List II or List III.
2. State Legislatures have exclusive power to make any law with respect to any matter enumerated in List-II.
3. The Parliament as well as State Legislatures have exclusive power to make any law with respect to any matter not enumerated in List II or List III.
Which of the statements given above is/are correct?

A

1 and 2

B

1 only

C

2 only

D

1 and 3

Besides the mortgagor, any of the following persons may redeem or institute a suit for redemption of, the mortgaged property. These persons are:
(1) any person (other than the mortgagee of the interest sought to be redeemed) who has any interest in, or charge upon, the property mortgaged or in or upon the right to redeem the same.
(2) any surety for the payment of the mortgagedebt or any part thereof.
(3) any creditor of the mortgagor who has in a suit for administration of his estate obtained a decree for sale of the mortgaged property.

A

Only (1) and (2) are correct

B

Only (2) and (3) are correct

C

Only (1) and (3) are correct

D

All (1), (2) and (3) are correct

What is the full form of UHT?

A

Ultra high temperature

B

Unique handling transport

C

Ultra high time

D

Universal handling transport