It's a Question of your Career!

Correct Answer: 33 cm²

Solution : Given: The curved surface area of a solid hemisphere is 22 cm².
The curved surface area of the hemisphere = $2\pi r^2$
The total surface area of the hemisphere = $3\pi r^2$
where $r$ is the radius.
According to the question,

Correct Answer:

Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the fourth option figure.

Hence, the fourth option is correct.

Correct Answer: 1

Solution : Given:
$\frac{1}{2}, \frac{3}{4}, ?, \frac{5}{4}$

In the given series, add $\frac{1}{4}$ to the previous number to get the next number.
$\frac{1}{2}$ + $\frac{1}{4}$ = $\frac{3}{4}$; $\frac{3}{4}$ + $\frac{1}{4}$ = $\frac{4}{4}$ = 1; 1 + $\frac{1}{4}$ = $\frac{5}{4}$

So, 1 is the missing number of the

Correct Answer: nod

Solution : The fourth option is the correct choice.

In the context of the sentence, a nod is mentioned as a form of body language that signifies approval. A nod is a common nonverbal gesture where the head is moved up and down, typically indicating agreement or

Correct Answer: 1

Solution : $ax+by=1$ ---------------------------------------(1)
$bx+ay=\frac{2ab}{a^{2}+b^{2}}$ -----------------------------------(2)
On dividing equation (1) by (2), we get,
⇒ $\frac{ax+by}{bx+ay}=\frac{a^{2}+b^{2}}{2ab}$
⇒ $2a^{2}xb+2ab^{2}y=a^{2}bx+b^{3}x+a^{3}y+ab^{2}y$
⇒ $a^{2}xb+ab^{2}y=b^{3}x+a^{3}y$
⇒ $a^{2}xb-b^{3}x=a^{3}y-ab^{2}y$
⇒ $x(a^{2}b-b^{3})=y(a^{3}-ab^{2})$
⇒ $\frac{x}{y}=\frac{(a^{3}-ab^{2})}{(a^{2}b-b^{3})}$
⇒ $\frac{x}{y}=\frac{a(a^{2}-b^{2})}{b(a^{2}-b^{2})}$
⇒ $\frac{x}{y}=\frac{a}{b}$ ---------------------------------(3)
Putting the value of $(x,y)$ from equation (3) in equation (1), we get,
⇒ $y=\frac{b}{a^{2}+b^{2}}$
⇒

Correct Answer: 25 years

Solution : Given: Rate is 8%
Let the Principle be P.
It amounts to 3 times of itself.
Simple interest = 3P – P = 2P
We know, Simple interest $= \frac{\text{Principal × Rate × Time}}{100}$
⇒ $2P =\frac{P×8×\text{Time}}{100}$
⇒ Time = 25 years
Hence, the

Correct Answer: Tamil Nadu

Solution : The correct option is - Tamil Nadu

Most of the yearly rainfall in Tamil Nadu is accounted by the northeast monsoon. The northeast monsoon, commonly known as the winter monsoon, approaches India from that direction. The wind blows from land to sea during this

Correct Answer: sensitive

Solution : The second option is the correct choice.

The word sensitive is appropriate in this context because it refers to individuals who are prone to metal allergies and need hypoallergenic jewellery.

Therefore, the correct answer is sensitive.

Correct Answer: $2 \sqrt{3}$

Solution :
Let O be the centre of the given circle.
Let AB and AC be the two tangents to the given circle drawn from point A.
$\therefore$ $\angle BAC = 120°$
Now OB and OC represent the radii of the circle
$\therefore OB \perp AB$

Correct Answer: $4 \frac{8}{13}$

Solution : P, Q and R can complete a task in 10 days, 15 days and 20 days, respectively.
P's work in 1 day = $\frac{1}{10}$
Q's work in 1 day = $\frac{1}{15}$
R's work in 1 day = $\frac{1}{20}$
Work done by P, Q, and