Correct Answer: a rise in the price of the commodity.

Solution : The correct option is a rise in the price of the commodity.

According to the law of demand, when a product's price grows, less of that commodity is desired, and as a commodity's price reduces, more of

Correct Answer: $\frac{10}{3}$

Solution : $\sqrt{3} \tan ^2 \theta-4 \tan \theta+\sqrt{3}=0$
Multiplying by $\sqrt{3}$ on both sides, we get,
$3\tan^2\theta−4\sqrt{3}\tan \theta+3=0$
⇒ $3\tan^2\theta−3\sqrt{3}\tan\theta−\sqrt{3}\tan\theta+3=0$
⇒ $3\tan\theta(\tan\theta−\sqrt{3})−\sqrt{3}(\tan\theta−\sqrt{3})=0$
⇒ $(3\tan\theta−\sqrt{3})(\tan\theta−\sqrt{3})=0$
⇒ $\tan\theta=\frac{1}{\sqrt{3}}$ or, $\tan\theta=\sqrt{3}$
⇒ $\theta=30°$ or, $\theta=60°$
So, $\tan ^2 \theta+\cot ^2 \theta$
$=\tan^2 30° + \cot^2 30°$
$=\frac{1}{3}+3$
$=\frac{10}{3}$
Hence, the

Correct Answer: P

Solution : Let the sixth face of the dice be B.
Taking dice positions 1 and 2 with A as the common face –

Moving clockwise from the common face with A –

So, the opposite faces of the dice are –

So, the face opposite to

Correct Answer: PQRS

Solution : The correct choice is the fourth option.

• Part P begins with the main action to establish what the government is currently doing.
• Part Q provide details about the specific disaster relief the government is offering.
• Part R introduces a contrast to highlight a limitation or

Correct Answer: (3)

Solution : The third option is the correct answer.

This option provides the correct subject-verb agreement. "There" is used to talk about a specific location and "their" indicates ownership. Since we are talking about multiple countries, we need to use the plural form "countries".

Therefore, the correct

Correct Answer: Provide pension to unorganised sector workers

Solution : The correct option is to provide a pension to unorganised sector workers.

Pradhan Mantri Shram Yogi Maan-Dhan (PM-SYM) scheme, launched in 2019, aims to provide a voluntary and contributory pension scheme for unorganised workers in the lower-income bracket. The

Correct Answer: $\frac{\sqrt{13}}{2}$

Solution :
$\angle$F = 90°, EF = 10 cm, FG = 15 cm
By Pythagoras theorem,
Hypotenuse² = Base² + Perpendicular²
EG² = EF² + FG²
⇒ EG² = 10² + 15²
⇒ EG² = 100 +

Correct Answer: Neutrality and Impartiality

Solution : The correct answer is Neutrality and Impartiality.

The most notable qualities of the Indian civil service are neutrality and impartiality. The doctrine of neutrality is predicated on the idea that the same group of civil servants can work for governments that adhere

Correct Answer: 1878

Solution : The correct answer is 1878.

In 1878, the British colonial authorities enacted the Arms Act, prohibiting Indians from possessing firearms. This legislation was implemented as a precautionary measure to prevent a recurrence of uprisings like the one in 1857. The British administration aimed to curb

Correct Answer: Stomata

Solution : The correct option is Stomata.

Plants' tiny pores on the surface of their leaves are known as stomata (plural: stoma). Stomata are essential in controlling gas exchange, allowing plants to take in carbon dioxide for photosynthesis while exchanging oxygen and excess water vapour. Stomata also