Question : ABCD is a square. Draw a triangle QBC on side BC considering BC as a base and draw a triangle PAC on AC as its base such that $\Delta$QBC$\sim\Delta$PAC. Then, $\frac{\text{Area of $\Delta$QBC}}{\text{Area of  $\Delta$PAC}}$ is equal to:

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

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

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

Option 4: $\frac{2}{3}$

Question : Kinked demand curve is a feature of 

Option 1: Monopoly .

Option 2: Oligopoly .

Option 3: Monopsony .

Option 4: Duopoly .

Question : D and E are points on sides AB and AC of $\Delta ABC$. DE is parallel to BC. If AD : DB = 2 : 3. What is the ratio of the area of $\Delta ADE$ and the area of quadrilateral BDEC?

Option 1: 4 : 21

Option 2: 4 : 25

Option 3: 4 : 29

Option 4: 4 : 9

Question : The largest delta of the world is ?

Option 1: Sunderbans

Option 2: Amazon Basin

Option 3: Greenland

Option 4: Congo Basin

Question : If $\sin A+\sin ^2 A=1$, then the value of the expression $\left(\cos ^2 A+\cos ^4 A\right)$ is

Option 1: $\frac{3}{2}$

Option 2: $1$

Option 3: $2$

Option 4: $\frac{1}{2}$