Question : If $x+\frac{1}{x}=c+\frac{1}{c}$, then the value of $x$ is:

Option 1: $c,\frac{1}{c}$

Option 2: $c,c^{2}$

Option 3: $c,2c$

Option 4: $0, 1$

Question : If $(x+y)^3+8(x-y)^3=(3 x+A y)\left(3 x^2+B x y+C y^2\right)$, then the value of (A + B + C) is:

Option 1: 0

Option 2: 4

Option 3: 2

Option 4: 3

Question : If 91% of A is 39% of B, and B is x% of A, then the value of x is:

Option 1: $\frac{200}{3}$

Option 2: $\frac{700}{3}$

Option 3: $\frac{400}{3}$

Option 4: $\frac{500}{3}$

Question : If A : B = 2 : 5, B : C = 4 : 3, and C : D = 2 : 1, what is the value of A : C : D?

Option 1: 6 : 5 : 2

Option 2: 7 : 20 : 10

Option 3: 8 : 30 : 15

Option 4: 16 : 30 : 15

Question : If $a, b, c$ are real numbers and $a^{2}+b^{2}+c^{2}=2(a-b-c)-3,$ then the value of $a+b+c$ is:

Option 1: –1

Option 2: 1

Option 3: 3

Option 4: 0