Correct Answer: Pinnacle

Solution : The fourth option is correct.

In the given sentence, apex means the highest point or pinnacle. Pinnacle, as a synonym, also signifies the highest level or peak. Both words describe the director's position as the highest authority or position within the managing committee.

The

Correct Answer: $x^{2}–x–20=0$

Solution : Given: The sum of the roots = 1
The product of the roots is = –20
We know that quadratic equation: $x^{2}–(\text{sum of the root})x+(\text{product of the root})=0$
⇒ $x^{2}–(1)x+(–20)=0$
⇒ $x^{2}–x–20=0$
Hence, the correct answer is $x^{2}–x–20=0$.

Correct Answer: Birju Maharaj

Solution : The correct option is Pandit Birju Maharaj.

The Bollywood song "Mohe Rang Do Laal" from the movie "Bajirao Mastani" was choreographed by Pandit Birju Maharaj. He is a renowned Indian classical dancer and choreographer, and he worked on this song to bring the

Correct Answer: 40 km/hr

Solution : There are 4 members.
Each member has to cover 5 km one after another.
⇒ Total distance covered by the 4 members = 5 $×$ 4 = 20 km
Total time taken = 30 min = $\frac{1}{2}$ hour
$\therefore$ Average speed $=\frac{\text{Total distance}}{\text{Total time}}=

Correct Answer: 2 km

Solution : Firstly, we will draw the diagram as per the given instructions –

Let Prabhu travel from his house in the north direction. Now, draw the diagram as per the given instructions –

In the above figure, O is the starting point and D is

Correct Answer: m/s²

Solution : The correct option is m/s².

The SI unit of acceleration is metres per second square (m/s²).

Acceleration is the rate of change of velocity over time. Acceleration is a vector quantity. It has both magnitude and direction.

Correct Answer: 32

Solution : Let the first number be $x$, then the second number is $2x$.
According to the question,
$x(2x) = 2048$
⇒ $x^2 = 1024$
⇒ $x = 32$
So, the smaller number is 32.
Hence, the correct answer is 32.

Correct Answer: 225

Solution : Let's check the options —
First option: 64→4³ = 64
Second option: 125→5³ = 125
Third option: 225→225 is not a perfect cube.
Fourth option: 216→6³ = 216

So, the third option is different from the other three options as all other

Correct Answer: 50

Solution : Given:
(7, 5, 10); (2, 1, 5); (16, 6, ?)

In the given sets, multiply the difference of the first and second numbers by 5 to get the third number.
Like, (7, 5, 10)→(7 – 5) × 5 = 2 × 5 = 10
And,

Correct Answer:

Solution : As there is no restriction on the rotation of the figure, we will check all possible angles where the question figure can fit itself in all the given option figures.
The question figure is embedded only in the third option figure.

Hence, the third option is