Correct Answer: 2 km/hr

Solution : Given: Distance = 144 km
And the time taken to row upstream = 12 hours
And the time taken to row downstream = 9 hours
So, speed of boat in upstream = $\frac{144}{12}$ = 12 km/hr
And speed of boat in downstream = $\frac{144}{9}$ = 16 km/hr
Let x be the speed of the boat in still water and y be the speed of the stream.
So, the speed of the boat in upstream = x – y
⇒ x – y = 12-----------(i)
And the speed of the boat in downstream = x + y
⇒ x + y = 16------------(ii)
Subtracting (i) from (ii), we get:
2y = 4
$\therefore$ y = 2 km/hr
Hence, the correct answer is 2 km/hr.

Correct Answer: $\frac{4}{3}$

Solution : Given: $A+B=90^{\circ}$ and $\sin A=\frac{3}{5}$
$\sin A=\frac{3}{5}=\frac{\text{Perpendicular}}{Hypotenuse}$
Let, Perpendicular = $3k$ and Hypotenuse = $5k$ --------------[where, $k$ is constant]
⇒ Base = $\sqrt{(5k)^{2}–(3k)^{2}}$
⇒ Base = $4k$
$\tan A=\frac{\text{Perpendicular}}{Base}$
⇒ $\tan A=\frac{3k}{4k}$
⇒ $\tan (90°–B)=\frac{3}{4}$
⇒ $\cot B=\frac{3}{4}$
⇒ $\tan B=\frac{4}{3}$
Hence, the correct answer is $\frac{4}{3}$.

Correct Answer: Maharashtra

Solution : The correct answer is Maharashtra.

The Ajanta and Ellora caves, situated near Aurangabad in Maharashtra, India, are ancient Buddhist architectural marvels. These sites were designated as UNESCO World Heritage Sites in 1983. The Ajanta Caves, nestled amidst the Sahyadri ranges along the Waghora River, were constructed over a span from 200 B.C. to 650 A.D.

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).