Pranav borrows a sum of ₹6,23,305 at the rate of 10% per annum simple interest. At the end of the first year, he repays ₹16,390 towards return of principal amount borrowed. If Pranav clears all pending dues at the end of the second year, including interest payment that accrued during the first year, how much does he pay (in ₹) at the end of the second year?
What is the height (in m) of a conical water tank having radius of 70m and volume of 46,200m3? \((\text{Take } \pi = \frac{22}{7})\)
The pie chart below shows the percent sale of different fruits in a day for a shop. If the total number of fruits sold by a fruit seller in a day is 1200, what is the combined central angle in the pie chart for oranges and apples?
Simplify the following expression
\(\frac{(x - y)^3 + (y - z)^3 + (z - x)^3}{(x - y)(y - z)(z - x)}\)
From a circle of radius 7 units, an arc length is cut by a chord of length 7 units. What is the arc length of the smaller portion (in units)?
\(\dfrac{8}{3}\pi\)
\(\dfrac{7}{6}\pi\)
\(\dfrac{7}{3}\pi\)
\(\dfrac{7}{4}\pi\)