Correct Answer: The Damodar

Solution : The correct answer is The Damodar.

The devastating floods that the River Damodar causes in the West Bengal plains have earned it the nickname "Bengal's sorrow." Because of the southwest monsoon, the Damodar River catchment area receives seasonal rains every year. Depending on the

Correct Answer: $\frac{15\sqrt 3}{2}\text{ cm}$

Solution : Given: The side of the triangle is 15 cm.
Let the altitude be $x$ cm.
The length of the altitude of an equilateral triangle = $\frac{\sqrt3}{2}$ × side of the triangle.
⇒ $x = \frac{\sqrt3}{2}\times15$
⇒ $x = \frac{15\sqrt3}{2}$
Hence, the correct answer

Correct Answer: (3)

Solution : The error lies in the third part of the sentence.

When a sentence uses the indefinite pronoun one, it should continue using the same pronoun or its supplementary forms i.e., one's in this case, as it is not correct to use other pronouns

Correct Answer: 279

Solution : Given: The first term is 7 and the last term is 55.
Using the formula, S₉ = $\frac{n}{2}(a+l)$
Where $a$ is the first term, $l$ is the last term of the A.P., and n is the number of terms.
By putting the value of

Correct Answer: Token cut

Solution : The correct answer is Token cut.

Cut motions are the method of accountability with the opposition in Lok Sabha. It is a form of checks and balances in the Indian constitutional setup. In a token-cut-specific issue. It asks for a discussion on a

Correct Answer: $3(5\sqrt5+\sqrt3)$

Solution : Given:
$\left[\frac{12}{(\sqrt5+\sqrt3)}+\frac{18}{(\sqrt{5}-\sqrt3)}\right]$
= $\frac{12\sqrt5-12\sqrt 3+18\sqrt5+18\sqrt 3}{(\sqrt5+\sqrt3)(\sqrt{5}-\sqrt3)}$
= $\frac{30\sqrt5+6\sqrt3}{5-3}$
= $\frac{6(5\sqrt5+\sqrt3)}{2}$
= $3(5\sqrt5+\sqrt3)$
Hence, the correct answer is $3(5\sqrt5+\sqrt3)$.

Correct Answer: 1

Solution : Given:
$x+y+z=1,\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1$, $xyz=-1$
Consider, $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1$
⇒ $xy+yz+zx=xyz=-1$
Now, $x+y+z=1$
⇒ $(x+y+z)^2=1^2$
⇒ $x^2+y^2+z^2+2(xy+yz+zx)=1$
⇒ $x^2+y^2+z^2+2(-1)=1$
⇒ $x^2+y^2+z^2=3$
We know, $x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-(xy+yz+zx)$
So, putting all the values, we get,
⇒ $x^3+y^3+z^3-3×(-1)=1×[3-(-1)]$
⇒ $x^3+y^3+z^3=4-3$
$\therefore x^3+y^3+z^3=1$
Hence, the correct answer is 1.

Correct Answer: $1$

Solution : Given: The expression is $\frac{(x+y+z)(x y+y z+z x)–x y z}{(x+y)(y+z)(z+x)}$.
$\frac{(x+y+z)(x y+y z+z x)–x y z}{(x+y)(y+z)(z+x)}$
Substitute the value of $x=y=z=1$, in the given expression, we get,
= $\frac{(1+1+1)(1\times1+1\times 1+1\times 1)–1\times1\times1}{(1+1)(1+1)(1+1)}$
= $\frac{3\times 3–1}{2\times 2\times 2}=\frac{9–1}{8}$
= $\frac{8}{8}$ = $1$
Hence, the correct answer is

Correct Answer: Article 21

Solution : The correct option is Article 21.

The right to privacy is a basic one that the Indian Supreme Court has regarded as being implicit in the rights to life and personal liberty given by Article 21 of the Constitution. This interpretation was established in

Correct Answer:

Solution : In the given figure, follow the directions to find the next term –

Hence, the first option is correct.