Correct Answer: 10 years 4 months

Solution : Using Average = $\frac{\text{Sum of all observations}}{\text{Number of observations}}$
Sum of the ages of 30 students = 30 × 14$\frac{4}{12}$ = 30 ×14$\frac{1}{3}$ = 30 × $\frac{43}{3}$ = 430 years
Sum of age of 35 students after admission = 35 × 13$\frac{9}{12}$

Correct Answer: 5%

Solution : Given: A shopkeeper marks his goods 40% above the cost price and allows a 25% discount on them.
Let the cost price = Rs. 100
Then, marked price = (100 + 40) = Rs. 140
Discount = 25%
So, the selling price = $(140-140×\frac{25}{100}$) =

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