Correct Answer: Ocean

Solution : The correct answer is ocean.

The ocean or marine ecosystem is the largest ecosystem in the world and it is the most stable ecosystem. Water covers nearly 71% of the earth's surface area. While ecosystem is a self sustaining unit of interacting living organisms and

Correct Answer: 720

Solution : Given: Lateral surface area of prism = 480 cm²
Lateral surface area of prism = perimeter of base × height
Perimeter of triangle = 8 + 15 + 17 = 40 cm 
Let the height of the prime is $h$ cm 
⇒ $40 ×

Correct Answer: – 6.83

Solution : Computing RHS,
$\sin ^2 60^{\circ}+4 \tan ^2 45^{\circ}-\operatorname{cosec}^2 60^{\circ} = (\frac{\sqrt{3}}{2})^2+4\times1^2-(\frac{2}{\sqrt{3}})^2$
⇒ $\sin ^2 60^{\circ}+4 \tan ^2 45^{\circ}-\operatorname{cosec}^2 60^{\circ} = \frac{3}{4}+4-\frac{4}{3}$
⇒ $\sin ^2 60^{\circ}+4 \tan ^2 45^{\circ}-\operatorname{cosec}^2 60^{\circ} = \frac{41}{12}$
Computing LHS,
$ \frac{k-k \cot ^2 30^{\circ}}{1+\cot ^2 30^{\circ}} = k(\frac{1- (\sqrt{3})^2}{1+(\sqrt{3})^2})$
⇒

Correct Answer: Fortune

Solution : The correct choice is the first option.

Adversity refers to difficulties, misfortune, or hardship that someone faces in life.

On the other hand, fortune stands in opposition to adversity. It refers to good luck, success, wealth, or favourable circumstances.

The meanings of the other

Correct Answer: 55

Solution : Given: The number of students in a class has increased by 20% and the number has now become 66.
Let the initial number of students be $x$.
According to the question,
⇒ $\frac{120x}{100} = 66$
⇒ $x = 55$
Hence, the correct answer is 55.

Correct Answer: Penner

Solution : The correct answer is Penner.

The Penner River flows through Andhra Pradesh and Karnataka. It begins in the Nandi Hills of Karnataka's Chikballapur District and runs through the districts of Anantapur, Kurnool, and Prakasam in Andhra Pradesh before entering the Bay of Bengal. Bharathappuzha, Periyar,

Correct Answer: 144°

Solution : Given: A% = 28% and F% = 12%.
We know that in a pie chart 360° = 100%
⇒ 1° = 3.6%
The sum of central angles formed by the sectors representing tyres of companies F and A
= 12% + 28% = 40%.
⇒

Correct Answer: Father

Solution : As per the instructions, the family tree is shown below –

Here, the quadrilateral represents the male and the circular figure represents the female in the above figure.

According to the family tree, K is the father of P. Hence, the fourth option is correct.

Correct Answer: short-term scheduler

Solution : The correct answer is the short-term scheduler.

The CPU Scheduler is sometimes referred to as the "short-term scheduler" in the context of process scheduling within operating systems. The short-term scheduler selects and allocates the next process to execute on the CPU from a pool

Correct Answer: 15

Solution : $(a-b)^2+(b-c)^2+(c-a)^2=54$
⇒ $2(a^2+b^2+c^2-ab-bc-ac)=54$
⇒ $(a^2+b^2+c^2-ab-bc-ac)=27$
Also, we know that $(a^3+b^3+c^3-3 a b c) = (a+b+c)(a^2+b^2+c^2-ab-bc-ac)$ Substituting the values, 
⇒ $405 = 27×(a+b+c)$
⇒ $a+b+c = 15$
Hence, the correct answer is 15.