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

Option 1: –5

Option 2: 5

Option 3: 6

Option 4: –6

Question : If $2x-2(3+4x)<-1-2x>\frac{-5}{3}-\frac{x}{3}$; then $x$ can take which of the following values?

Option 1: 1

Option 2: 2

Option 3: –2

Option 4: –1

Question : If $2x-3(4-2x)<4x-5<4x+\frac{2x}{3}$, then $x$ can take which of the following values?

Option 1: 2

Option 2: 8

Option 3: 0

Option 4: –8

Question : If $x^{3}+2x^{2}-5x+k$ is divisible by $x+1$, then what is the value of $k$?

Option 1:  –6

Option 2:  –1

Option 3: 0

Option 4: 6

Question : If $2x-3(4-2x)<4x-5<4x+\frac{2x}{3}$, then $x$ can take which of the following values?

Option 1: 2

Option 2: 8

Option 3: 0

Option 4: –8