Correct Answer: did we arrive at

Solution : The first option is the correct answer.

"No sooner did we arrive at" follows the correct inversion of the subject and auxiliary verb after the phrase, "no sooner". In English, when no sooner is used to indicate an action that happens immediately after another, the auxiliary verb and subject are inverted. So, did we arrived at should be replaced with "did we arrive at" as did is followed by the first form of the verb making the sentence grammatically correct.

Therefore, the correct sentence is: "No sooner did we arrive at the airport than we got onto our flight to Atlanta."

Correct Answer:

Solution : The various parts of the figure can be numbered as follows –

The parts can be arranged in the following manner –

The above-compiled figure matches the figure given in the first option. Hence, the first option is correct.

Correct Answer: Inserted by 43rd Constitutional Amendment

Solution : The correct option is Inserted by the 43rd Constitutional Amendment.

The Fundamental Duties are the moral obligations that all Indian citizens have to uphold national unity and promote patriotism. The 42nd Constitutional Amendment Act, 1976, added these to Part IV-A of the Constitution on the recommendation of the Swaran Singh Committee.

Correct Answer: 15

Solution : Third proportional to $a, b$ = $\frac{b^2}{a}$
Third proportional to 12 and $6 \sqrt{5}$
= $\frac{(6 \sqrt{5})^2}{12}$
= $\frac{36×5}{12}$
= $15$
Hence, the correct answer is 15.

Correct Answer: Income from entrepreneurship earned from abroad

Solution : The correct answer is income from entrepreneurship earned from abroad.

Entrepreneurial revenue received overseas is included in the Balance of Payments (BoP) as a component of the current account. The BoP is a historical record of all economic transactions between a country and the rest of the world.

Correct Answer: indecisive

Solution : The correct choice is the second option.

Resolute denotes having or showing great determination. Indecisive denotes not providing a definite and clear result. The word indecisive means the opposite of resolute, i.e., doubtful.

The meanings of the other options are as follows:

• Reluctant: It denotes unwillingness and hesitancy.
• Disinclined: It denotes unwillingness.
• Gullible: It denotes believing and trusting people too easily and therefore being easily tricked.

Correct Answer: Protochordates

Solution : The Correct Answer is Protochordates

Protochordata and cyclostomata lack jaws. The invertebrate subphylum of the chordata phylum is referred to as protochordata. It contains creatures like tunicates.  Cyclostomata are a subclass of group agnatha that lack jaws, girdles, and paired appendages.  Hagfish and lampreys are the two types of fish without jaws. Hagfish typically consume dead or dying fish as food.

Correct Answer: (4)

Solution : The fourth option is the correct answer: No improvement.

This is because ''almost as soon as'' which means 'almost immediately' is used in the correct context here indicating that the speaker fell asleep immediately after laying their head on the pillow.

Correct Answer: $60^{\circ}$

Solution :
Given that $AB = AC$ in $\triangle ABC$.
This is an isosceles triangle, such that $\angle BAC = \angle ABC$.
We have, $\angle ACD = 120^\circ$
$\therefore \angle ACB = 180^\circ - 120^\circ = 60^\circ$
Since the sum of angles in a triangle is $180^\circ$.
⇒ $\angle BAC + \angle ABC + \angle ACB = 180^\circ$
⇒ $2\angle BAC + 60^\circ = 180^\circ$
$\therefore\angle BAC = \frac{180^\circ - 60^\circ}{2} = 60^\circ$
Hence, the correct answer is $60^\circ$.

Correct Answer: $45^{\circ}$

Solution :

Since, an angle subtended by the diameter of a circle at the circumference = $90^{\circ}$
⇒ $\angle$ ACB = $90^{\circ}$
$\angle$ BCD = $\angle$ ACD + $\angle$ ACB = $45^{\circ} + 90^{\circ}=135^{\circ}$
Since the opposite angles of a cyclic quadrilateral are supplementary,
$\angle$ BCD + $\angle$ BAD = $180^{\circ}$
$\therefore \angle$ BAD = $180^{\circ} - 135^{\circ}=45^{\circ}$
Hence, the correct answer is $45^{\circ}$.