Question : If $4(2x+3)>5-x$ and $5x-3(2x-7)>3x-1,$ then $x$ can take which of the following values?

Option 1: 6

Option 2: –1

Option 3: 5

Option 4: –6

Question : If $2x-2(x-2)<5-x>-2x+2$, then the value of $x$ is:

Option 1: 0

Option 2: 2

Option 3: 3

Option 4: –4

Question : If $x+\frac{1}{x}=0$, then the value of $x^{5}+\frac{1}{x^{5}}$ is:

Option 1: 2

Option 2:  –1

Option 3: 1

Option 4: 0

Question : If $4(x+5)-3>6-4x\geq x-5$, then the value of $x$ is:

Option 1: –2

Option 2: –1

Option 3: 3

Option 4: 4

Question : If $x^{2}+\frac{1}{x^{2}}=1$, then, what is the value of $x^{48}+x^{42}+x^{36}+x^{30}+x^{24}+x^{18}+x^{12}+x^{6}+1$?

Option 1: – 9

Option 2: 0

Option 3: 1

Option 4: 9