The Venn-diagram that represents the relation between the given is as shown below:
 
 Hence, option C is the correct answer.

By checking option A:

Given expression is-

6 × 5 – 8 ÷ 2 + 1 = 3 × 4 + 2 + 9 ÷ 3

After interchanging-

6 × 5 – 4 ÷ 2 + 1 = 3 × 8 + 2 + 9 ÷ 3

Solve now,

6 × 5 – 4 ÷ 2 + 1 = 3 × 8 + 2 + 9 ÷ 3

Or, 30 – 2 + 1 = 24 + 2 + 3

Or, 29 = 29

Therefore, its correct option.

Hence, option A is the correct answer.

The first letter is replaced by a set of two letters (one preceding it and one following it) and the remaining letters are moved one step backward to obtain the code.
S =RT
M - 1 = L
A - 1 = Z
R - 1 = Q
T - 1 =S
and
A = ZB 
X - 1 = W
E - 1 = D
Similarly,
M = LN
A - 1 = Z
R - 1 = Q
E - 1 = D
MARE is codded as LNZQD.

Hence, option C is the correct answer.

Article 323A:

• This article deals with the Administrative tribunals.

• Administrative tribunals are quasi-judicial institutions that resolve disputes related to the recruitment and service conditions of persons engaged in public service.

Article 271:

• This article deals with the surcharge on certain duties and taxes for purposes of the Union

Article 290A:

• This article deals with charge on the Consolidated Fund of India, the court or Commission serves any of the separate needs of a State, or the person has served wholly or in part in connection with the affairs of a State.

Article 307:

• This article deals with the appointment of authority for carrying out the purposes of articles 301 to 304.

● The property of Catenation is almost readily predominant in Carbon.

● The bonding of atoms of the same element into a series is called Catenation.

● It is a chemical element with the symbol C and atomic number is 6.

● It belongs to group 14 of the periodic table and It is nonmetallic in nature.

● It is the fourth most abundant element in the universe by mass.

● Nitrogen is the most abundant uncombined element.

Let the efficiency of A be x and that of B be y.

Total work = 24(x + y)

As per question,

= 64

(Let = t)

3t² – 10t + 3 = 0

t = 3 or

Therefore, = 3,

So, x =3 or 1 and y = 1 or 3

Total work in both cases = 24 × 4 = 96

T_A = = 32 days

T_B = = 96 days

Difference = 96 – 32 = 64 days

We know that

So here it is given that :

A boat covers 12 km upstream and 18 km downstream in 3 hours

And also, it covers 36 km upstream and 24 km downstream in

Let (x-y) = A and (x+y) = B

 ..........(i)

 ..........(ii)

[(i)×3 - (ii)] On solving the equation :

B = 12 km/hr

And from above eqns. : we get

A = 8 km/hr

So ( x – y ) = 8 and ( x + y ) = 12

So 2x = 20 and x = 10 km/hr

Y = 2 km/hr

The underlined part of the sentence is grammatically incorrect.

• The underlined part has “can” as a modal.

• The given sentence is in the past; so the past form of the modal i.e. “could” should be used.

• Also, the base form of the verb is used after the modal verbs. Thus, the usage of “helped” is wrong.

For example:

She can vote in the upcoming elections.

• Hence, “could help him” is the correct improvement.

Thus, the correct sentence will be: Rakhi asked him if she could help him with the project that was previously assigned to her.

Hence, option C is the correct answer.

The idiom 'carry the day' means ‘to win a competition or be successful’.

Hence, option B is the correct answer.

• Sentence 2 introduces the subject populism which is further explained in sentence 3.

• Sentence 3 will be followed by sentence 4 as the phrase “this method” has been used for the strategy mentioned in 3.

• Sentence 1 and sentence 5 form a pair and would come next to sentence 4.

• The correct sequence is 23415.