For the following questions answer them individually
If $$x-\frac{1}{x}=1$$, then the value of $$\frac{x^{4}-\frac{1}{x^{2}}}{3x^{2}+5x-3}$$ is
The value of $$\frac{sin 43^{\circ}}{cos 47^{\circ}}+\frac{cos 19^{\circ}}{sin 71^{\circ}}-8cos^{2}60^{\circ}$$ is
Which is the largest of the following fractions ?
$$\frac{2}{5},\frac{3}{5},\frac{8}{11},\frac{11}{17}$$
A shopkeeper marks his goods 40% above the cost price. He allows a discount of 5% for cash payment to his customers. He receives 1064 after paying the discount. His profit is
The angle subtended by a chord at its centre is 60°, then the ratio between chord and radius is
If goods be purchased for 450 and one third sold at a loss of 10%. At what gain percent should the remainder be sold so as to gain 20% on the whole transaction ?
If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA then.