Quantitative Aptitude - Arithmetic Ability Questions

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?

The surface areas of three faces of a cuboid sharing a vertex are 20, 32 and 40 sq. mts. What is the volume of the cuboid in cub. m?

sinA/(1 + cos A) is equal to

What is the value of [sin (90– 10θ) – cos (p – 6θ)]/ [cos (p/2 – 10θ) – sin (p – 6θ)]?

The equation of a line is given by 4y-6x+9=0. Find the slope of other line which is perpendicular to it.

Let O be the orthocentre of the triangle ABC. If ∠BOC = 150°, Then ∠BAC is

A line passing through the origin perpendicularly cuts the line 2x + 3y = 6 at point M. Find M?

Three numbers are in the ratio of 3:5:10 and their LCM is 630. Find their HCF.