Correct Answer: granite

Solution : The correct answer is granite.

Based on its formation, rocks are classified into three types- Sedimentary, Igneous and Metamorphic rocks. Sedimentary rocks are formed by deposition of various layer over a long period of time, igneous rocks are of volcanic origin and metamorphic rocks are

Correct Answer: INR 63,000

Solution : Given: A sum of INR 1,50,000 is distributed among three persons - A, B, and C - so that they receive 20%, 30%, and 50%, respectively.
A receive the amount = $\frac{20}{100}\times 150000=$ INR 30,000.
B receive the amount = $\frac{30}{100}\times 150000=$ INR 45,000.

Correct Answer: most crucial

Solution : The correct choice is the third option.

"Most" is the superlative form of the adjective "important" indicating the highest degree or level of importance.

And "one of" is a phrase used to indicate that exams belong to a group of important aspects. This

Correct Answer: BDFH

Solution : Let's check the options –
First option: EIJN; E + 4 = I; I + 1 = J; J + 4 = N
Second option: DHIM; D + 4 = H; H + 1 = I; I + 4 = M
Third option: BDFH; B

Correct Answer: 60687

Solution : If a number is divisible by 99, then it must be divisible by 11 and 9, because 99 = 11 × 9
To check the divisibility by 11 we have to check the difference of the sum of odd place digits and the sum of

Correct Answer: $4$

Solution : $(2+\sqrt{3})a=(2-\sqrt{3})b=1$
$(2+\sqrt{3})a=1$
$⇒ a = \frac{1}{2+\sqrt{3}}$
$⇒ \frac{1}{a} = 2-\sqrt{3}$
Again, $(2-\sqrt{3})b=1$
$⇒ b = \frac{1}{2-\sqrt{3}}$
$⇒ \frac{1}{b} = 2+\sqrt{3}$
$\frac{1}{a} + \frac{1}{b}=2-\sqrt{3}+2+\sqrt{3}$
$\frac{1}{a} + \frac{1}{b}=4$
Hence, the correct answer is $4$.

Correct Answer: attain

Solution : The correct choice is the second option.

In this context, attain means to achieve or reach a specific goal or outcome through exercise. When someone exercises, they engage in physical activity with the intention of obtaining or achieving certain results, such as improving fitness,

Correct Answer: As such you

Solution : The correct choice is the fourth option.

The grammatical error lies in the incorrect use of the phrase as such. The phrase as such is typically used to refer to the essence or nature of something, and it doesn't fit well in

Correct Answer: 6

Solution : The correct option is 6.

Part III of the Indian Constitution enlists six groups of fundamental rights. These include:

1. Right to Equality (Articles 14–18)
2. Right to Freedom (Articles 19–22)
3. Right against Exploitation (Articles 23–24)
4. Right to Freedom of Religion (Articles 25–28)
5. Cultural and Educational Rights

Correct Answer: $\frac{3}{2}$

Solution : Given:
$\operatorname{cosec}\theta+\sin\theta=\frac{5}{2}$
⇒ $\frac{1}{\sin\theta}+\sin\theta=\frac{5}{2}$
⇒ $\frac{1+\sin^{2}\theta}{\sin\theta}=\frac{5}{2}$
⇒ $2\sin^{2}\theta-5\sin\theta+2=0$
⇒ $2\sin^{2}\theta-4\sin\theta-1\sin\theta+2=0$
⇒ $2\sin\theta (\sin\theta-2)-1(\sin\theta-2)=0$
⇒ $(\sin\theta-2)(2\sin\theta-1)=0$
⇒ $\sin\theta= 2,\frac{1}{2}$
$\sin\theta$'s value can't be 2.
So, $\sin\theta=\frac{1}{2}=\sin30^{\circ}$
⇒ $\theta=30^{\circ}$
$\operatorname{cosec}\theta-\sin\theta$
$=\operatorname{cosec}30^{\circ}-\sin30^{\circ}$
$= 2-\frac{1}{2}$
$=\frac{3}{2}$
Hence, the correct answer is $\frac{3}{2}$.