Quantitative Aptitude - Arithmetic Ability Questions

Coefficient of x2 in (x + 7)(5 - 3x)(3x - 6) is

The point P(-­4,1) divides the segment joining the points (x,0) and (0,y) in the ratio 3:2. Find x and y?

Which of the following value of 'x' satisfies the equation 814x+4 = 2432x+8?

If cosθ = x2-y2x2+y2, then the value of cotθ is

Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of areas of triangle APQ: triangle ABC is 16:25. Then the ratio of AP:PB is?

A businessman imported Laptops, worth Rs 210000, Mobile phones worth Rs 100000 and Television sets worth Rs 150000. He had to pay 10% duty on laptops, 8% on Phones and 5% on Television sets as a special case. How much total duty (in Rupees) he had to pay on all items as per above details?

What will be the value of xy, if x2+y2 = 45 and x-y=5 ?

If selling price is Rs. 72 and Gain percentage = 20%, calculate the Cost Price.