The graphs of the equations 3x + y-5=0 and 2x- y -5=0 intersect at the point P(α,β).  What is the value of (3α + β)?

The product of two numbers is 24 times the difference of these two numbers. If the sum of these two numbers is 14. Find the larger number?

A sum of money becomes 3 times in 12 years. In how many years it will become 5 times at the same rate of simple interest?

A certain sum is deposited for 4 years at a rate of 10% per annum on compound interest compounded annually. The difference between ihe interest at the end of 2 years and that at the end of 4 years is ₹5,082. Find the sum (in ₹).

If the curved surface area of a right circular cone is 10010 sq cm and its slant height is 91 cm, find its total surface area.

Anu invested Rs. 15000 at the rate of interest 10% p.a. for one year. If the compound interest is compounded at every six months, what amount will Anu get at the end of the year?

Directions: Study the following table carefully to answer the questions that follow .
Number of soldiers ( in thousands ) joining five different forces during six different.

What is the difference between the total number of soldiers joining Air force in the year 2004, 2005 and 2008 and the number of Soldiers joining Army in the year 2008? 

If the ratio of the measurement of the four angles of a quadrilateral is 1: 2: 3: 4, then the measurement of its smallest angle is-