Correct Answer: INR 3,500

Solution : The cost price of 30 defective machines = INR 1,000
The selling price of 1 machine = INR 300
Total selling price = INR 300 × 30 = INR 9,000
Profit per machine = INR 150
Total profit = INR 150 × 30 =

Correct Answer: Sabha

Solution : The correct option is Sabha.

In the Chola administration, the assembly in villages predominantly inhabited by Brahmanas was known as the Sabha. These assemblies played a significant role in the governance and local administration of Chola society, and they were responsible for various local matters

Correct Answer:

Solution : The correct answer is Gneiss.

Gneiss is a metamorphic rock of high grade, which means it has been subjected to high temperatures and pressures. It is generated as a result of the metamorphism of granite or sedimentary rock. Gneiss has distinct foliation, which represents alternating layers

Correct Answer:

Solution : As per mirror image properties, closer things appear close to the mirror in reflection.
According to the information provided, if the mirror is placed on the right side of the figure (on line AB), the right of the reflected image will appear as the left, and

Correct Answer: $\frac{1}{8}$

Solution : Given:
$x+3y=-3x+y$
Solution:
⇒ $x+3y+3x-y=0$
⇒ $4x+2y=0$
⇒ $2(2x+y)=0$
⇒ $2x+y=0$
⇒ $y=–2x$
Put the value of $y$ in $\frac{x^{2}}{2y^{2}}$
= $\frac{x^{2}}{2(–2x)^{2}}$
= $\frac{x^{2}}{8x^{2}}$
= $\frac{1}{8}$
Hence, the correct answer is $\frac{1}{8}$.

Correct Answer: $1$

Solution : $\cot A = 1= \cot 45°$
$\therefore A = 45°$
$\sin B = \frac{1}{\sqrt{2}}=\sin45°$
$\therefore B = 45°$
$\sin (A+B) = \sin 90° = 1$
$\cot (A+B) = \cot 90° = 0$
$\therefore \sin (A+B) -\cot (A+B) =1-0= 1$
Hence, the correct answer is $1$.

Correct Answer: 10.5 cm

Solution : The volume of hemisphere = $2425 \frac{1}{2} \mathrm{~cm}^3$
Volume of Hemisphere = $\frac{2}{3} × \pi r^3$
⇒ $\frac{2}{3} × \frac{22}{7} × r^3 =  \frac{4851}{2} \mathrm{~cm}^3$
⇒ $r^3 = 1157.63$
⇒ $r = 10.5$ cm
$\therefore$ The correct answer is 10.5 cm.
Hence, the correct

Correct Answer: 30

Solution : $\tan (4α − 50°)$ = $\cot (50° − α)$ = $\tan(90°–(50° − α))$
⇒ $\tan (4α − 50°)$ = $\tan(90°–(50° − α))$
⇒ $(4α − 50°) = 90°–(50° − α)$
⇒ $4α − 50° = 40°+α$
⇒ $3α = 90°$
⇒ $α = 30°$
Hence,

Correct Answer: 2302

Solution : Given: $\left(x+\frac{1}{x}\right)=5 \sqrt{2}$
Squaring both sides, we get,
⇒ $(x+\frac{1}{x})^2=(5 \sqrt{2})^2$
⇒ $x^2+\frac{1}{x^2}+2=50$
⇒ $x^2+\frac{1}{x^2}=48$
Again squaring both sides, we get:
⇒ $(x^2+\frac{1}{x^2})^2=48^2$
⇒ $x^4+\frac{1}{x^4}+2=2304$
$\therefore x^4+\frac{1}{x^4}=2302$
Hence, the correct answer is 2302.

Correct Answer: Yajurveda

Solution : The correct answer is Yajurveda.

The Yajurveda is a detailed manual on how to carry out religious rites and ceremonies properly. The Yajurveda is the Veda of prose mantras; its name is derived from yajus, which means prose mantra, and veda, which means knowledge.