In what ratio is the segment joining (-1, 3)and (2,-4) divided by the Y axis?

The point P(a, b) is first reflected in origin to P1 and P1 is reflected in Y-axis to (4, -3). What are the co-ordinates of point P?

What is the sum of the first 12 terms of an arithmetic progression if the first term is 3 and last term is 47?

A non-zero number is greater than 7 times its reciprocal by 9.3. What is the number?

If a - b = 2 and ab = 8, then what is the value of a3 - b3?

If -3/2 + (2/3)(3x + 9) = x/2, then what is the value of x?

If compound interest received on a certain amount in the 3rd year is Rs. 1,240, what will be the compound interest (in Rs) for the 4th year on the same amount at 9% rate of interest?

If a taxi going at 40 km/hr takes 25 minutes to travel a certain distance, by how much should it increase its speed (in km/hr) to travel the same distance in 20 minutes?