For the following questions answer them individually
If an eleven-digit number 5y5888406x6 is divisible by 72, then whatis the value of (9x — 2y), for the least value of x?
A circle circumscribes a rectangle whose sides are in the ratio 4 : 3. If the perimeter of the rectangle is 56 cm, then what is the area (in cm$$^2$$) of the circle?
In $$\triangle$$ABC, D and E are the points on sides AC and AB,respectively such that $$\angle$$ADE = $$\angle$$B. If AE = 8 cm, CD=3 cm, DE = 6 cm and BC = 9 cm, then AD is equal to:
The given Bar Graph presents Different Type of Vehicles(in lakhs) exported by a company in 2016 and 2017.
What is the ratio of the total number of vehicles of type D and E exported by the company in 2016 to that of vehicles of type C and E exported in 2017 ?
In $$\triangle$$ABC, BD $$\perp$$ AC. E is point on BC such that $$\angle$$BEA = $$x^\circ$$. If $$\angle$$EAC = $$38^\circ$$ and $$\angle$$EBD = $$40^\circ$$, then the value of x is:
Pipes A and B can fill a tank in 8 hours and 12 hours respectively whereas pipe C can empty the full tank in 6 hours. A and B are opened for 3 hours and then closed and C is opened instantly. C will empty the tank in:
Eight years ago, the ratio of ages of A and B was 9 10. The ratio of their ages 4 years from now will be 12 : 13. What is the age (in years) of C now,if his age is 6 years more than that of A ?
If $$\cot \theta = \sqrt{6}$$, then the value of $$\frac{\cosec^2 \theta + \sec^2 \theta}{\cosec^2 \theta - \sec^2 \theta}$$ is:
A sum of ₹10000 amounts to ₹11664 in 2 years, at a certain rate percent per annum, when the interest is compounded yearly. What will be the simple interest on the same sum for $$5\frac{2}{5}$$ years at the same rate?
If $$24\sqrt3 x^3 + 5\sqrt5 y^3 = (2\sqrt3 x + \sqrt5 y) \times (Ax^2 + Bxy + Cy^2)$$, then what is the value of $$(A^2 - B^2 + C^2)$$?