Correct Answer: quit

Solution : The correct choice is the first option.

Quit is used with "drinking alcohol" to express the action of stopping or giving up the habit of consuming alcohol. It fits naturally with the context of the sentence, indicating that the person has decided to cease

Correct Answer: Iron

Solution : The correct option is Iron.

Through a displacement or redox process, iron (Fe) may deposit copper from a copper sulphate (CuSO4) solution. The following is a representation of the reaction:        CuSO4(aq) + Fe(s) -> FeSO4(aq) + Cu(s); Iron (Fe) displaces copper (Cu) from the

Correct Answer: 5364

Solution : Given: $a=299, b=298, c=297$
We know that the algebraic identity is $(a^3+b^3+c^3-3abc)=\frac{1}{2} \times(a+b+c)[(a-b)^2+(b-c)^2+(c-a)^2]$
$2a^3+2b^3+2c^3-6abc$
$=2(a^3+b^3+c^3-3abc)$
$=2\times\frac{1}{2} \times(a+b+c)[(a-b)^2+(b-c)^2+(c-a)^2]$
$=2\times\frac{1}{2} \times(299+298+297)[(299-298)^2+(298-297)^2+(297-299)^2]$
$=894[1^2+1^2+2^2]=894\times6$
$= 5364$
Hence, the correct answer is 5364.

Correct Answer: Mohiniyattam

Solution : The correct answer is Mohiniyattam.

Sunanda Nair is a renowned Indian classical dancer known for performing the dance form Mohiniyattam. It is a traditional dance style from the southern Indian state of Kerala. It is characterised by its graceful and swift movements, expressive storytelling,

Correct Answer: DACB

Solution : The correct choice is the fourth option: DACB.

The logical flow of sentences is as follows:

• Sentence D (Henry D. Penrose was a dog with a pedigree): This is the introductory sentence introducing the main character, Henry D. Penrose.
• Sentence A (Each morning he was

Correct Answer: 11

Solution : Let the original fraction be $\frac{x}{y}$ 
According to the question,
$y = 2x + 4$ .............(1)
When 3 is added to the numerator and 3 is subtracted from the denominator the fraction becomes $\frac{2}{3}$
⇒ new fraction = $\frac{x + 3}{y – 3} = \frac{2}{3}$

Correct Answer: A. G. Tansley

Solution : The correct option is A. G. Tansley.

The term ecosystem was proposed by Sir Arthur Tansley, a British botanist and ecologist, in 1935. In addition to coining the term, Tansley made several significant contributions to ecology, including developing the concept of the

Correct Answer: 1

Solution : Given: $\sin A+\sin^{2} A=1$ ----(1)
⇒ $\sin A=1–\sin^{2} A$
⇒ $\sin A=\cos^{2} A$ -----(2)
⇒ $\sin^{2} A=\cos^{4} A$ -----(3)
From equation (2) and (3), we get:
So, $\cos^{2} A+\cos^{4} A=\sin A+\sin^{2} A$
⇒ $\cos^{2} A+\cos^{4} A=1$
Hence, the correct answer is 1.

Correct Answer: 970

Solution : Given: $x^{2}+\frac{1}{x^{2}} = 98$
We know, $(x+y)^{2}= x^{2}+y^{2}+2xy$
⇒ $(x+\frac{1}{x})^{2}= x^{2}+\frac{1}{x^{2}}+2(x)(\frac{1}{x})$
⇒ $(x+\frac{1}{x})^{2}= 98+2$
⇒ $(x+\frac{1}{x})^{2}= 100$
⇒ $ (x+\frac{1}{x})= 10$
Now,
$x^{3}+\frac{1}{x^{3}} = (x+\frac{1}{x})^{3}-3(x)(\frac{1}{x})(x+\frac{1}{x})$
= $10^{3}-3(10)$
= $1000-30$
= $970$
Hence, the correct answer is 970.

Correct Answer: 198

Solution : Given:
$\mathrm{p}=\frac{\sqrt{2}+1}{\sqrt{2}-1}$, $\mathrm{q}=\frac{\sqrt{2}-1}{\sqrt{2}+1}$
Rationalising $p$, we get:
$p= 3+2\sqrt{2}$
⇒ $p^2=17+12\sqrt{2}$
$\mathrm{q}=\frac{\sqrt{2}-1}{\sqrt{2}+1}$
Rationalising $q$, we get:
$q= 3-2\sqrt{2}$
⇒ $q^2=17-12\sqrt{2}$
$\therefore$ $\frac{\mathrm{p}^2}{\mathrm{q}}+\frac{\mathrm{q}^2}{\mathrm{p}}=(\frac{17+12\sqrt{2}}{3-2\sqrt{2}})+(\frac{17-12\sqrt{2}}{3+2\sqrt{2}})$
⇒ $\frac{\mathrm{p}^2}{\mathrm{q}}+\frac{\mathrm{q}^2}{\mathrm{p}}=\frac{(17+12\sqrt{2})(3+2\sqrt{2})+(17-12\sqrt{2})(3-2\sqrt{2})}{(3+2\sqrt{2})(3-2\sqrt{2})}$
⇒ $\frac{\mathrm{p}^2}{\mathrm{q}}+\frac{\mathrm{q}^2}{\mathrm{p}}=\frac{2\times 17\times 3+2\times 12\times2\times 2}{(3+2\sqrt{2})(3-2\sqrt{2})}$
⇒ $\frac{\mathrm{p}^2}{\mathrm{q}}+\frac{\mathrm{q}^2}{\mathrm{p}}=198$
Hence, the correct answer is 198.