Correct Answer: $1$

Solution : $\tan 6^{\circ} × \tan 45^{\circ} × \tan 84^{\circ}$
= $\tan 6^{\circ} × \tan 45^{\circ} × \tan (90^{\circ}-6^{\circ})$
= $\tan 6^{\circ} × \tan 45^{\circ} × \cot 6^{\circ}$
= $\tan 6^{\circ} × \tan 45^{\circ} × \frac{1}{\tan 6^{\circ}}$
= $\tan 45^{\circ}$
= $1$
Hence, the correct answer is

Correct Answer: Mahatma Gandhi

Solution : The correct option is Mahatma Gandhi.

"Hind Swaraj" by Mahatma Gandhi, published in 1909, is a seminal work advocating Indian self-rule. It critiques modern civilisation's materialism, emphasising moral, and spiritual values. He promoted nonviolent resistance (Satyagraha) as the path to India's independence from

Correct Answer: Cotton

Solution : The correct option is Cotton.

Cotton is known to grow well in black soils, particularly in certain regions with specific soil types. Black soils have good moisture retention properties, which are beneficial for crops like cotton that require a consistent water supply throughout the

Correct Answer: (2)

Solution : The correct choice to improve the sentence is the second option.

Explanation: This option corrects the verb tense and structure in the sentence. It uses "would have" to indicate a past unreal condition, which matches the use of "if I had requested him to do

Correct Answer: 27.71 cm²

Solution : Given: The side of an equilateral triangle = 8 cm
So, the area of the equilateral triangle = $\frac{\sqrt3 a^2}{4}$
= $\frac{\sqrt3× 8^2}{4}$
= $16\sqrt3$
= 16 × 1.732
= 27.71 cm²
Hence, the correct answer is 27.71 cm².

Correct Answer: Thailand

Solution : The correct answer is Thailand.

Thailand qualified for a Women's T20 World Cup competition for the first time. Following the end of the qualification round, Bangladesh was assigned to Group A, while Thailand was assigned to Group B. Thailand's participation in the ICC Women's T20

Correct Answer: Banking of roads

Solution : The correct option is the Banking of roads.

A construction method known as road banking is used to make curving roads safer for vehicles to travel on at faster speeds. The road surface can be carefully tilted to raise the outer edge

Correct Answer: $2-\sqrt{3}$

Solution : Given that $\cos \left(2 \theta+54^{\circ}\right)=\sin \theta$ and $0^{\circ}<\left(2 \theta+54^{\circ}\right)<90^{\circ}$
$⇒\cos \left(2 \theta+54^{\circ}\right)=\cos(90^{\circ}-\theta)$
Solving for $\theta$,
$⇒ \left(2 \theta+54^{\circ}\right)= (90^{\circ}-\theta)$
$⇒3 \theta=36^{\circ}$
$⇒\theta=12^{\circ}$
$⇒\tan 5 \theta=\tan \left(60^{\circ}\right)=\sqrt{3}$
$⇒\operatorname{cosec} \frac{5 \theta}{2}=\operatorname{cosec} \left(30^{\circ}\right)=2$
Now, $\frac{1}{\tan 5 \theta+\operatorname{cosec}\frac{5 \theta}{2}}$
$=\frac{1}{\sqrt{3}+2}$
$=\frac{1}{\sqrt{3}+2}\times\frac{2-\sqrt{3}}{2-\sqrt{3}}$
$=2-\sqrt{3}$
Hence, the correct answer is $2-\sqrt{3}$.

Correct Answer: much

Solution : The third option is the correct answer: much.

"much" is an adjective or adverb used to indicate a large quantity, degree, or extent of something. "Very" expresses a great degree, "Many" is an adjective indicating a large countable quantity and

Correct Answer: Upliftment of untouchables or Dalits

Solution : The correct answer is the Upliftment of untouchables or Dalits.

The term Sarvodaya was coined by Mahatma Gandhi to signify the upliftment of all sections of society. He was highly influenced by John Ruskin's book Unto This Last and translated it.