Quantitative Aptitude - Arithmetic Ability Questions

The figure shown below consists of the tangents at the extremeties of any chord. Choose the correct option given below.

Given: 5x -3(2x-7) > 3x - 1 < 7 + 4x; then x can take which of the following values?

What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(-4, 0) and C(3, -4)?

Select the odd number from the given alternatives.

In what ratio does the point T(x, 0) divide the segment joining the points S(5, 1) and U(-1, -2)?

Which of the following numbers is not a prime number?

Find the number of prime factor of 1024.

One pipe can fill an empty cistern in 4 hours while another can drain the cistern when full in 10 hours. Both the pipes were turned on when the cistern was half-empty. How long will it take for the cistern to be full?