For the following questions answer them individually
In figure, DE || BC. If DE = 3 cm, BC = 6 cm and area of ΔADE = 15 sq cm, then the area of ΔABC is
If $$cos^4θ - sin^4θ$$ = 1/3, then the value of $$tan^2θ$$ is
If a perfect square, not divisible by 6, be divided by 6, the remainder will be
A batsman in his 12th innings makes a score of 120, and thereby increase his average by 5. The average score after 12th innings is
The value of $$\sqrt{-\sqrt{3}+\sqrt{3+8\sqrt{7+4\sqrt{3}}}}$$ is
If $$X^4+\frac{1}{X^4}=119$$, then the value of $$X-\frac{1}{X}$$ is
The side BC of the ΔABC is extended to the point D. If ∠ACD = 112° and ∠B = 3/4 ∠A, then the value of ∠B is
ΔABC is a right angled triangle, the radius of its circumcircle is 3 cm and the length of its altitude drawn from the opposite vertex to the hypotenuse is 2 cm. Then the area of the triangle is
The height of a tower is 50√3 m. The angle of elevation of a tower from a distance 50 m from its feet is
The amount of Rs. 10,000 after 2 years, compounded annually with the rate of interest being 10% per annum during the first year and 12% per annum during the second year, would be (in rupees)