Correct Answer: BADC

Solution : The correct choice is the first option.

The paragraph starts with sentence B, which sets the scene by describing the narrator's movement along the pavement and crossing the road, followed by sentence A, which describes the narrator's action of going up the steps to the apartment, followed by sentence D, which indicates the narrator's further action of opening the door with their key and entering, and lastly, sentence C, which provides additional information stating that the hall was empty and there was no sign of anyone having entered before the narrator.

Correct Answer: T. Raja Kumar

Solution : The correct option is T. Raja Kumar.

T. Raja Kumar, a Singaporean, has been named the Financial Action Task Force's (FATF) president. His appointment is for a two-year term, starting on July 1, 2022.

Correct Answer: Sanguivorous

Solution : The correct option is Sanguivorous.

Leeches are ectoparasitic creatures that feed on their hosts' blood and are classified as sanguivorous. When leeches infest cattle or other animals, they attach themselves to the host's skin, cause an incision with their specialised mouthparts, and then feed on the host's blood. This blood-feeding behaviour is typical of sanguivorous parasites like leeches and is how they gain nutrition.
 

Correct Answer: $2$

Solution : Given: $\sqrt{x}=\sqrt{3}-\sqrt{5}$
By squaring both the sides, we get,
$x=3+5-2\sqrt{15}$
⇒ $x-8=-2\sqrt{15}$
Again, squaring both the sides, we get,
$x^2-16x+64=60$
⇒ $x^2-16x+4=0$
$\therefore x^2-16x+6=2$
Hence, the correct answer is $2$.

Correct Answer: Latanoprost

Solution : The correct option is Latanoprost.

Glaucoma, a disorder in which elevated pressure in the eye can cause a gradual loss of vision, is treated with Latanoprost. It is listed as one of the essential medicines by the World Health Organization. Latanoprost belongs to a class of medications known as prostaglandin analogues. It works by increasing the outflow of aqueous humour, the fluid inside the eye, which helps to lower intraocular pressure.

Correct Answer: 1 – x¹⁶

Solution : Given expression,
(1 + x) (1 + x²) (1 + x⁴) (1 + x⁸) (1 – x)
= (1 − x²)(1 + x²)(1 + x⁴)(1 + x⁸)
= (1 − x⁴)(1 + x⁴)(1 + x⁸)
= (1 − x⁸)(1 + x⁸)
= (1 − x¹⁶)
Hence, the correct answer is (1 − x¹⁶).

Correct Answer: 1/1-c

Solution : The correct answer is 1/1-c.

The additional consumer spending that results from a rise in national income is known as the marginal propensity to consume (MPC). It is the extra spending brought on by an extra dollar in revenue. The multiplier is calculated as 1/(1 minus MPC).

Correct Answer: 72

Solution : The correct option is 72.

The Indian National Congress was founded in 1885 by A.O. Hume. Its first meeting was held in Bombay and was attended by 72 delegates. Mostly they were lawyers, journalists and intellectuals and it was founded by Allan Octavian Hume, a retired British civil servant. Dadabhai Naoroji was chosen as the president of the INC during its first session.

Correct Answer: 1

Solution : The correct answer is the first option because save should be replaced with salvage to convey the intended meaning that there were limited actions he could take to restore his reputation which had been severely tarnished.

Salvage which is similar in meaning to save is more suitable to use in the context of the sentence. The other options, such as wreck which means to destroy severely, and destroy do not go contextually with the intended meaning of the sentence.

Therefore, the correct sentence is, "There was little he could do to salvage his battered reputation".

Correct Answer: 60 

Solution : Let the base angle be $x$.
Given, that the vertex angle is twice the sum of base angles.
The sum of base angles = 2$x$
So, vertex angle = 4$x$
We know the sum of angles of a triangle is 180$^\circ$.
So, $x$ + $x$ + 4$x$ = 180$^\circ$
Or, $x$ = 30$^\circ$
Half of vertex angle = 2$x$ = 60$^\circ$
Hence, the correct answer is 60.