A conical vessel whose internal base radius is 18 cm and height 60 cm is full of a liquid. The entire liquid of the vessel is emptied into a cylindrical vessel with internal radius 15 cm. The height (in cm) to which the liquid rises in the cylindrical vessel is:

Find the maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils.

Direction: Study the pie chart carefully and answer the given questions. The pie chart shows the percentage breakup of students in different classes from VI to X in the year 2017

If the total number of boys in class VIII is “x” and the total number of boys in class IX is “x+40”. The total number of girls in class VIII and class IX together is 306. Then find the value of “x”.

Present age of Ram and Shyam are in the ratio of 4: 5 respectively. Five year hence the ratio of their age becomes 5:6 respectively. What is Ram’s present age?

Find the equation of the line that passing through the point (7, -5 ) and is perpendicular to  the line (4x+5y=1).

A sum of money at double the rate of simple interest doubles itself in 10 years. In how much time will that amount be triple of itself?

If (27x³ – 343y³) ÷ (3x – 7y) = Ax² +By² + 7Cyx, then the value of (4A – B +5C) is:

A person completes a journey of 30 km at a speed of 6 km / h and a journey of the remaining 40 km at a speed of 8 km / h. What is his average speed of travel for the entire journey?