Quantitative Aptitude - Arithmetic Ability Questions

In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD?

In a triangle ABC, OB and OC are the bisectors of angles ∠ B and ∠C respectively. ∠BAC = 60°. Then the angle ∠BOC will be

A person goes from point N to P and comes back. His average speed for the whole journey is 60 km/hr. If his speed while going from N to P is 40 km/hr, then what will be the speed of the person (in km/hr) while coming back from P to N?

A 600 metres long train is running at the speed of 81 km/hr. If it crosses a platform in 40 seconds, then what is the length of the platform (in metres)?

The line passing through the point (5,a) and point (4,3) is perpendicular to the line x - 6y = 8. What is the value of 'a'?

Simplify 486b3x2a4z3/27a3b2z

 What is the value of (cosec45 + √3/2) ?

Find the value of 491321973