Question : If the angles of a triangle are (x – 6)°, (x + 26)°, and 8x°, then what is the value of 2x?

Option 1: 12°

Option 2: 16°

Option 3: 48°

Option 4: 32°

Question : The sum of two angles of a triangle is 116° and their difference is 24°. The measure of the smallest angle of the triangle is:

Option 1: 38°

Option 2: 28°

Option 3: 46°

Option 4: 64°

Question : If $\cos x=\sin y$ and $\cot(x–40°)=\tan(50°–y)$, then the values of $x$ and $y$ are:

Option 1: $x=70°,y=2°$

Option 2: $x=75°,y=15°$

Option 3: $x=85°,y=5°$

Option 4: $x=80°,y=10°$

Question : If $4x–7y=3$ and $2x–y=9$, then the value of $(x–y)$ is:

Option 1: 3

Option 2: 4

Option 3: 5

Option 4: 6

Question : If $2x-\frac{2}{x}=1(x \neq 0)$, then the the value of $(x^3-\frac{1}{x^3})$ is:

Option 1: $\frac{13}{4}$

Option 2: $\frac{13}{8}$

Option 3: $\frac {17}{4}$

Option 4: $\frac{17}{8}$