Quantitative Aptitude - Arithmetic Ability Questions

For triangle ABC, find equation of median AD if co-ordinates of A, B and C are (-1,-3), (5,-4) and (3,2) respectively?

If 3x^2 + ax + 4 is perectly divisible by x - 5, then the value of a is :

Δ LMN is right angled at M. If m∠N = 60°, then Tan L =______.

A root of equation ax2 + bx + c = 0 (where a, b and c are rational numbers) is 5 + 3√3. What is the value of (a2 + b2 + c2)/(a + b + c)?

If a retailer offers a discount of 28% on the marked price of his goods and thus ends up selling at cost price, what was the % mark up?

Two students appeared for an examination. One of them secured 16 marks more than the other and his marks were 75% of the sum of their marks. The marks obtained by them are

A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30 deg with the ground. How high on the wall does the ladder reach?

What is the distance between the points (11,-5) and (-1,0)?