Question : If $\cos^2x+\cos^4x=1$, then $\tan^2x+\tan^4x$?

Option 1: $0$

Option 2: $1$

Option 3: $2 \tan^2x$

Option 4: $2\tan^4x$

Question : If $(4 y-\frac{4}{y})=13$, find the value of $(y^2+\frac{1}{y^2})$.

Option 1: $12 \frac{11}{16}$

Option 2: $10 \frac{9}{16}$

Option 3: $12 \frac{9}{16}$

Option 4: $8 \frac{9}{16}$

Question : Which of the following is correct?

Option 1: $\frac{2}{3}< \frac{3}{5}< \frac{11}{15}$

Option 2: $\frac{3}{5}< \frac{2}{3}< \frac{11}{15}$

Option 3: $\frac{11}{15}< \frac{3}{5}< \frac{2}{3}$

Option 4: $\frac{3}{5}< \frac{11}{15}< \frac{2}{3}$

Question : If $2x+\frac{1}{3x}$ = 5, then the value of $\frac{5x}{6x^{2}+20x+1}$ is:

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

Option 2: $\frac{1}{6}$

Option 3: $\frac{1}{5}$

Option 4: $\frac{1}{7}$

Question : Simplify the following expression.
120 ÷ 15 of 4 + [11 × 4 ÷ 4 of {4 × 2 – (8 – 11)}]

Option 1: $\frac{120}{61}$

Option 2: $\frac{61}{120}$

Option 3: $3$

Option 4: $-3$