Correct Answer: cut down

Solution : The correct choice is the fourth option.

Explanation: In the context of smoking, the most common and suitable phrase is cut down on smoking. Cut down is the standard and commonly used phrase to mean reducing the quantity or frequency of an activity like

Correct Answer: Maharashtra

Solution : Correct Answer is Maharashtra

 In accordance with the plan, unskilled labor would be employed to carry out beneficial work for the community as a whole. During the drought, the EGS started in 1972. But in 1977, the Maharashtra Legislative Assembly unanimously approved it as a

Correct Answer: Michael Phelps

Solution : The correct answer is Michael Phelps.

Michael Phelps from the United States holds the record for winning 23 gold medals in the Olympics. Larisa Latynina of the Soviet Union is the second highest-scoring Olympian; winning nine gold medals in gymnastics.

Correct Answer: 3

Solution : The correct option is 3.

Chhau is a traditional folk dance form with 3 distinctive styles, each rooted in a specific region. Saraikela Chhau is renowned for its graceful and intricate movements, coupled with the use of masks to add a unique visual element. Purulia

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

Solution : Let $t=\sin 15^\circ+\sin75^\circ$
Now, $t=\sin 15^\circ+\cos (90-75)^\circ$
$⇒t=\sin 15^\circ+\cos 15^\circ$
Squaring on both sides, we get,
$t^2=\sin^2 15^\circ+\cos^2 15^\circ+2\sin15^\circ \cos15^\circ$
$⇒t^2=1+\sin 30^\circ$
$⇒t^2=1+\frac{1}{2}$
$\therefore t=\sqrt{\frac{3}{2}}$
Hence, the correct answer is $\sqrt{\frac{3}{2}}$.

Correct Answer: White phosphorus

Solution : The correct option is White phosphorus.

Due to its strong reactivity and ability to spontaneously ignite in air at room temperature, white phosphorus is also known as "yellow phosphorus". Because it can catch fire when in contact with air, it is kept underwater

Correct Answer: millenium

Solution : The correction choice is the fourth option.

The incorrectly spelled word in the sentence is "millenium", as the correct spelling is millennium.

Millennium refers to a period of a thousand years or a significant and transformative era. In the sentence, it denotes the

Correct Answer: adolosense

Solution : The correct choice is the third option.

The correct spelling should be adolescence.

Adolescence is the period of life between childhood and adulthood, typically occurring during the teenage years. It is characterised by significant physical, psychological, and emotional changes.

The meanings of the other

Correct Answer: 3

Solution : Given: $x+y+z=0$
Cubing both sides, we get,
$⇒(x+y+z)^3=0$
$⇒x^3 + y^3 + z^3 + 3(x+y)(y+z)(z+x)=0$
$⇒x^3+y^3+z^3 = -3(x+y)(y+z)(z+x)$ ......(1)
From the given equation ($x+y+z=0$), we can get,
$x+y=-z,$ $y+z=-x$ and $z+x=-y$
Putting in (1), we get,
$x^3+y^3+z^3 = -3(-z)(-x)(-y)=3xyz$
Consider, $\frac{x^2}{(y z)}+\frac{y^2}{(x z)}+\frac{z^2}{(x y)}$
$=\frac{x^2(xz)(xy)+y^2(yz)(xy)+z^2(yz)(xz)}{(yz)(xz)(xy)}$

Correct Answer: MOQX

Solution : Let's check the options –
First option: EILN; E + 4 = I; I + 3 = L; L + 2 = N
Second option: AEHJ; A + 4 = E; E + 3 = H; H + 2 = J
Third option: MOQX; M