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Correct Answer: $2\sqrt{2}$

Solution : Given:
$\sin\theta-\cos\theta=0$
⇒ $\sin\theta=\cos\theta$
⇒ $\sin\theta=\sin\;(90°-\theta)$
⇒ $2\theta=90°$
⇒ $\theta=45°$
So, $\sec\theta+\operatorname{cosec}\theta$
$= \sec 45°+ \operatorname{cosec} 45°$
$= \sqrt{2}+\sqrt{2}$
$= 2\sqrt{2}$
Hence, the correct answer is $2\sqrt{2}$.

Correct Answer: Rs. 12000

Solution : The ratio of fares for air-conditioned classes to ordinary classes = 4 : 1
The ratio of the number of passengers in air-conditioned classes to ordinary classes = 3 : 25
Corresponding compounding ratio = (4 × 3) : (1 × 25) = 12

Correct Answer: Guava

Solution : The correct answer is Guava.

Guava contains the highest quantity of Ascorbic acid (Vitamin C). Rich in this essential vitamin, guava surpasses dates, wheat, and peanuts. Vitamin C plays a crucial role in supporting the immune system, promoting healthy skin, and aiding in the

Correct Answer: 7500 litres

Solution : Given: The price per litre of milk of all the brands is INR 40 per litre.
The total volume of the milk = $\frac{\text{The total amount}}{\text{The cost per litre}}$
The total amount = 62000 + 56000 + 72000 + 41000 + 69000 = 300000

Correct Answer: 5.464 m

Solution :
Let $AB = h$ be the pole.
In $\triangle ABC$,
$\tan$ 45° = $\frac{AB}{BC}$
⇒ 1 = $\frac{h}{BC}$
⇒ $AB = BC = h$
In $\triangle ABD$,
$\tan$ 30° = $\frac{h}{h+4}$
⇒ $\frac{1}{\sqrt3}$ = $\frac{h}{h+4}$
⇒ $h+4 = \sqrt3h$
⇒ $h = \frac{4}{\sqrt3-1}$
=

Correct Answer: 14 cm

Solution : Here, the total surface area of a hemisphere = 462 cm²
⇒ $3\pi r^2 = 462$
⇒ $ 3 \times \frac{22}{7} \times r^2= 462$
⇒ $r^2= 49$
⇒ $ r = 7$ cm
$\therefore$ Diameter of the hemisphere $= 2r = 2 \times

Correct Answer: Sunderbans

Solution : The correct answer is Sunderbans.

The Ganges-Brahmaputra Delta, also known as the Sundarbans Delta, is the biggest delta in the world. It is created by the meeting of the Ganges, Brahmaputra, and Meghna rivers and is situated in the Bengal area of the Indian subcontinent.

Correct Answer: 21

Solution : Given: The investments of A and B in a business = 7 : 5
Profits at the end of a year = 2 : 5
Let the time of investment of B is $x$ months
The ratio of time of investment of A and B

Correct Answer: Pakhawaj

Solution : The correct option is Pakhawaj.

Totaram Sharma is associated with the Pakhawaj, a traditional Indian percussion instrument. The Pakhawaj is a double-headed barrel-shaped drum commonly used in Hindustani classical music and is known for its rich and deep sound.

Correct Answer: disqualification

Solution : The correct answer is disqualification.

In the sport of badminton, a black card indicates the disqualification of a player. The issuance of a black card signifies a violation of the rules or code of conduct, and the player receiving it is immediately disqualified from