Quantitative Aptitude - Arithmetic Ability Questions

The length of a chord which is at a distance of 12 cm from the centre of a circle of radius 13 cm is

If secA + tanA = x, then find the value of x.

If a-1a=1, then a2 + 1a2 ?

In what ratio does the point T(x,0) divide the segment joining the points S(-4,-1) and U(1,4)?

The bus fare between two cities is increased in the ratio 1:2. Find the increase in the fare, if the original fare is Rs. 175.

 In the triangle ABC, the internal bisector of angle A meets the side BC at D. If BD=7.5 cm and BC=9 cm. Then calculate the value of AB:AC.

Three triangles are marked out of a bigger triangle at the three vertices such that each side of each of the smaller triangles is one-fourth as long as each corresponding side of the bigger triangle. The ratio of the area of the three small triangles taken together to that of the rest of the bigger triangle is

At what point does the line 2x - 3y = 6 cuts the Y axis?