A conical vessel whose internal radius is 12 cm and height 50 cm. is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is-

Kundan, Dharma and Guard start a venture together. Dharma and Guard invest 4,000 and 3,000 respectively while Kundan invests 1,000 initially and after 6 months withdraws his capital and decides to work as working partner with 30% stake in the profit. If Kundan gets 800 at the end of the year, what was the total profit? 

A sum of money at simple interest amount to Rs.4800 in 3 years and Rs.5600 in the 5 years. The sum is

If sin²a = cos³a then the value of cot⁶ a – cot²a? 

Two guns were fired from the same place at an interval of 13 minutes but a person in a train approaching the place hears the second shot 12 minutes 30 seconds after the first. Find the speed of train if sound travels at 330 metres per second.

Rs. 278 is divided among Ram, Shyam and Ghanshayam so that Rs. 20 more than $${1\over3}$$ of Ram’s share, Rs.10 more than $${3\over 2}$$ of Shayam’s share, Rs.10 more than Ghanshayam’s share are equal. What is the Shyam’s share?

Directions: Study the following pie chart carefully and answer the questions given beside.
The following pie chart gives the information about breakup of six different categories of workers in a company.

If total 1800 workers are working in the company then find the absolute difference between the number of workers in category D and category C?

Directions: Study the following pie chart carefully and answer the questions given beside.
The following pie chart gives the information about breakup of six different categories of workers in a company.

One day, all the workers were present except 25 out of 102 of category E workers. Find the number of workers present on that day?