Correct Answer: $50\sqrt{3}$ m

Solution :
Let AB denote the pillar. Let C and D be the two men observing the angle of elevation of the top of the pillar as $30^{\circ}$ and $60^{\circ}$, respectively.
In $\triangle$ABD,
$\tan$ $60^\circ$ = $\frac{75}{BD}$
⇒ BD = $\frac{75}{\sqrt3}$ = $25\sqrt3$ m
In $\triangle$ABC,

Correct Answer: 1905

Solution : The correct option is 1905.

In 1905, Lord Curzon, the Viceroy of India, announced the partition of Bengal. This decision sparked widespread protests and opposition from various sections of society and eventually led to the annulment of the partition in 1911. The events surrounding the

Correct Answer:

Solution : Dialect is a form of language and Language is the means of communication. So, Dialect comes under language and language comes under communication.
Therefore, the Venn diagram is –

Hence, the third option is correct.

Correct Answer: 51

Solution : Prime numbers between 32 and 69 are 37, 41, 43, 47, 53, 59, 61 and 67.
The sum of prime numbers between 32 and 69 = (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67) = 408 
Their average

Correct Answer: Hydrogen

Solution : The correct option is Hydrogen.

Hydrogen is not placed in Group 1 of the Modern Periodic Table. In the Modern Periodic Table, Group 1 elements are known as alkali metals, which include elements like lithium (Li), sodium (Na), potassium (K), and so on. These elements

Correct Answer: $2\frac{8}{11}$

Solution : 10 women can do work in 6 days
Work rate of 1 woman = $\frac{1}{60}$
6 men can do the same work in 5 days
Work rate of 1 man = $\frac{1}{30}$
Combined work rate = (10 women's work rate) + (6 men's work rate)

Correct Answer: 6 : 5

Solution : Production of company A = 30
Production of company E = 25
Ratio of Production of company A to ratio of Production of company E = 30 : 25
⇒ A : E = 6 : 5
Hence, the correct answer is 6

Correct Answer: Compliant

Solution : The correct answer is the first option.

The word rowdy refers to a noisy and disorderly atmosphere, whereas compliant means obedient and well-behaved and is the appropriate antonym.

The meanings of the other options are as follows:

• Chattering means a constant, low-pitched sound, like the

Correct Answer: Vascular plants

Solution : The correct option is Vascular plants.

The sporophyte stage is dominant in vascular plants, including ferns, gymnosperms and angiosperms. It indicates that the sporophyte generation in these plant families is the most conspicuous and long-lived stage of their life cycle in contrast to the

Correct Answer: 308

Solution : Total = 700
Marks obtained in Q = $\frac{13}{100}\times 700$ = 91
Marks obtained in S = $\frac{11}{100}\times 700$ = 77
Marks obtained in U = $\frac{20}{100}\times 700$= 140
Total marks obtained in Q, S, and U
= 91 + 77 + 140 = 308