Correct Answer: $\frac{18}{17}$

Solution : The ratio of their altitudes will be equal to the ratio of the square roots of their area.
$\frac{A{_1}}{A{_2}} = \frac{h{_1}^2}{h{_2}^2}$
⇒ $\frac{324}{289} = \frac{h{_1}^2}{h{_2}^2}$
⇒ $\frac{h{_1}}{h{_2}}=\sqrt\frac{324}{289}$
⇒ $\frac{h{_1}}{h{_2}} = \frac{18}{17}$
Hence, the correct answer is $\frac{18}{17}$.

Correct Answer: $\frac{2}{3}$

Solution : Given: $\frac{4}{3} \tan^2 45^{\circ}+3 \cos^2 30^{\circ}-2 \sec^2 30^{\circ}-\frac{3}{4} \cot^2 60^{\circ}$
$=\frac{4}{3} \times 1 +3 ( \frac{\sqrt3}{2})^2-2 (\frac{2}{\sqrt3})^2-\frac{3}{4} (\frac{1}{\sqrt3})^2$
$= \frac{4}{3} \times 1^2 +\frac{9}4-\frac{8}3-\frac{3}{4}\times \frac{1}3$
$= \frac{4}3+\frac{9}4-\frac{8}3-\frac{1}4$
$= \frac{16+27-32-3}{12}$
$= \frac{2}3$
Hence, the correct answer is $\frac{2}3$.

Correct Answer: Niece

Solution : As per the given information, the family tree will be as follows –

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

So, from the above family tree, the girl is Rajan's niece. Hence, the second option is

Correct Answer: (3)

Solution : The correct option is the third option.

Customer is the appropriate word here, as it specifically refers to someone who is buying or shopping in the store, fitting the context perfectly while the other options don't fit perfectly.

Therefore, the correct sentence is, "The sales

Correct Answer: 2

Solution : The second option is the correct answer.

Populous is an adjective that describes a place or region with a large population.

Populist is both a noun and an adjective. It means a person or an idea that is popular among the people.

Popular is an

Correct Answer: Adventurous

Solution : The one-word substitute for the given group of words is the third option.

Adventurous means to be willing to take risks, seek new experiences, and try new ideas. This word accurately represents the concept described in the group of words.

The meanings of the

Correct Answer: Infinite

Solution : We can draw infinitely many circles passing through two given points. Starting from the two points as a diameter, we can draw a circle. As the circle is moving up it becomes a chord to the next circle with a bigger diameter. In such a

Correct Answer: (2)

Solution : The error is in the second part of the sentence.

Explanation:

In this sentence, "Every member" is a singular subject, so the verb should also be singular. The correct verb form should be "has been", which agrees with the singular subject. The incorrect usage in

Correct Answer: MO

Solution : Let's check the options –
First option: AE; A + 4 = E
Second option: CG; C + 4 = G
Third option: JN; J + 4 = N
Fourth option: MO; M + 2 = O

So, the fourth option is different from the

Correct Answer: Chola     

Solution : Correct Answer is Chola

Known as 'the Just King'. Elalan is a Tamil name that translates to "the one who rules the Ellai (boundary)." Elara is a unique figure in Sri Lankan history, with special resonance given the country's ongoing ethnic strife. Despite his status