Question : Which of the following is an identity?

Option 1: $(a-b)^2=a^2-b^2$

Option 2: $(a+b)^2=a^2+b^2+2ab$

Option 3: $(a+b)^2=a^2+b^2$

Option 4: $(a-b)^2=a^2-b^2-2ab$

Question : If $\frac{x+1}{x-1}=\frac{a}{b}$ and $\frac{1-y}{1+y}=\frac{b}{a}$, then the value of $\frac{x-y}{1+xy}$ is:

Option 1: $\frac{2ab}{a^{2}-b^{2}}$

Option 2: $\frac{a^{2}-b^{2}}{2ab}$

Option 3: $\frac{a^{2}+b^{2}}{2ab}$

Option 4: $\frac{a^{2}-b^{2}}{ab}$

Question : Directions: Which one of the following responses would be the meaningful order of the following?
1. India
2. Bangalore
3. Asia
4. Karnataka

Option 1: 3, 4, 2, 1

Option 2: 2, 4, 1, 3

Option 3: 3, 1, 2, 4

Option 4: 1, 2, 3, 4

Question : Directions: Which one of the following responses would be a meaningful order of the following in ascending order?
1. Atom
2. Matter
3. Molecule
4. Electron

Option 1: 4, 1, 3, 2

Option 2: 3, 1, 4, 2

Option 3: 3, 4, 1, 2

Option 4: 1, 2, 3, 4

Question : Directions: Which of the given responses would be a meaningful order of the following words?
1. House 2. Palace 3. Bungalow 4. Hut

Option 1: 1, 2, 3, 4

Option 2: 2, 3, 1, 4

Option 3: 3, 2, 1, 4

Option 4: 4, 1, 3, 2

Question : Find the value of the following expression $2(\tan ^2 A \cos ^2 A+\cos ^2 A)$.

Option 1: 4

Option 2: 1

Option 3: 3

Option 4: 2