Correct Answer: V. A. Shiva Ayyadurai

Solution : The correct answer is V. A. Shiva Ayyadurai.

V. A. Shiva Ayyadurai is recognised as the pioneer behind the development of a functional and user-friendly email system. His accomplishments include not only creating a functioning platform but also securing the trademark

Correct Answer: Hussain Sagar

Solution : The correct answer is Hussain Sagar.

Hussain Sagar Lake connects the twin cities of Hyderabad and Secunderabad. This lake is situated right in the middle of the city. It is one of the most famous tourist places in Hyderabad.

Correct Answer: 175 m

Solution : Given: The speed of a car is 63 km/hr.
63 km/hr = $\frac{63×5}{18}=\frac{35}{2}$ m/sec
In 10 seconds the car will travel = $(\frac{35}{2}×10)$ metres = 175 metres
Hence, the correct answer is 175 m.

Correct Answer: 45

Solution : Time taken to bake 50 cakes by sister = 25 hours
Time taken to bake 75 cakes by mother and sister = 15 hours
The number of cakes Sister can bake in 1 hour = $\frac{50}{25}$ = 2
The number of cakes Sister and Mummy

Correct Answer: 121

Solution : Given:
5 # 2 = 25 and 8 # 2 = 64, then 11 # 2 = ?

Replace #2 with the square. So, the equations will be –
5 # 2 = 25→5² = 25
8 # 2 = 64→8² = 64
Similarly, 11

Correct Answer: Colloids are heterogeneous mixtures in which the particle size is large.

Solution : The correct answer is Colloids are heterogeneous mixtures in which the particle size is large.

A colloid is a type of heterogeneous combination where the distributed particles have a size that falls between that of

Correct Answer: Aluminium

Solution : The correct option is Aluminium.

Aluminium typically has the highest speed of sound. Aluminium is known for its relatively low density and high elasticity compared to the other materials listed. The approximate speed of sound in aluminium at room temperature is about 6420 metres

Correct Answer: $\frac{200}{7}$

Solution : Difference between CI and SI for 2 years = $\frac{PR^2}{10000}$
Difference between CI and SI for 3 years = $\frac{PR^2}{10000}×\frac{300+R}{100}$
Ratio = $\frac{PR^2}{10000}×\frac{300+R}{100}$:$\frac{PR^2}{10000}$
⇒ $23 : 7 = \frac{300+R}{100}:1$
⇒ $\frac{300+R}{100} = \frac{23}{7}$
⇒ $7(300+R) = 2300$
⇒ $ R = \frac{200}{7}$%
Hence, the correct

Correct Answer: $\frac{5}{6}$

Solution : Given, $6 \sec \theta=10$
⇒ $\sec\theta=\frac{10}{6}=\frac53$
We know, $\sec\theta = \frac{1}{\cos\theta},\sin^2\theta+\cos^2\theta=1\text{ and }\operatorname{cosec\theta}=\frac{1}{\sin\theta}$
⇒ $\cos\theta=\frac{3}{5}$
⇒ $\sin\theta=\sqrt{1-\cos^2\theta}$
⇒ $\sin\theta=\sqrt{1-(\frac{3}{5})^2}$
​​​​​​​⇒ $\sin\theta=\sqrt{1-\frac{9}{25}}$
​​​​​​​⇒ $\sin\theta=\sqrt{\frac{25-9}{25}}$
​​​​​​​⇒ $\sin\theta=\sqrt{\frac{16}{25}}$
​​​​​​​​​​​​​​⇒ $\sin\theta=\frac{4}{5}$
​​​​​​​​​​​​​​⇒ $\operatorname{cosec\theta}=\frac54$
​​​​​​​​​​​​​​⇒ $\cot\theta=\frac{\cos\theta}{\sin\theta}=\frac{3}{4}$
So, $\frac{5 \operatorname{cosec} \theta-3 \cot \theta}{4 \cos \theta+3 \sin \theta}=\frac{5\times\frac54-3\times\frac34}{4\times\frac35+3\times\frac45}=\frac{\frac{25}{4}-\frac{9}{4}}{\frac{12}{5}+\frac{12}{5}}=\frac{\frac{16}{4}}{\frac{24}{5}}=\frac{16\times5}{4\times 24}=\frac56$
Hence, the correct

Correct Answer: 213

Solution : The correct option is 213.​​​​​​

The power of the governor to promulgate ordinances during the recess of the legislature is mentioned in Article 213 of the Indian Constitution. Article 213 deals with the power of the governor to promulgate ordinances in the state when