Quantitative Aptitude - Arithmetic Ability Questions

BE and CF are two altitudes of a triangle ABC. If AB = 6 cm , AC = 5 cm and CF = 4 cm , then the length of BE is

From an external point two tangents to a circle are drawn. The chord passing through the points of contact subtends an angle72° at the centre. The angle between the tangents is?

At what point does the line 4x - 3y = -6 intercept the y-axis?

The areas of two similar triangles ΔABC and ΔPQR are 36 sq cms and 9 sq cms respectively. If PQ = 4 cm then what is the length of AB (in cm)?

What is the angle between centripetal acceleration and tangential acceleration?

If a3+ b3 = 19 and a + b = 1, then what is the value of ab?

If P = 99, then the value of P(P2+ 3P + 3) is

What is the value of [(sin 7x – sin 5x)÷(cos 7x + cos 5x)] – [(cos 6x – cos 4x)÷(sin 6x + sin 4x)]?