Quantitative Aptitude - Arithmetic Ability Questions

In each question two equations numbered I and II are given,you haveto solve both the equation and choose the correctanswer.

I. x2+ 30x + 81 = 0

II.y2-9y -162 = 0

The sum of a fraction and 4 times its reciprocal is 13/3. What is the fraction?

If a+b+c = 0, then (a^3 + b^3 + c^3)^2 = ?

A, B and C invest in a business in the ratio 3 : 6 : 5. A and C are working partners. Only B is a sleeping partner hence his share will be 3/4th of what it would have been if he were a working partner. If they make Rs 50,000 profit, half of which is reinvested in the business and the other half is distributed between the partners, then how much does C get (in Rs)?

A and B invest Rs. 3000 and Rs. 2400 respectively in a business. If after one year there is a loss of Rs. 720, how much loss will B bear? (Loss or Profit is in proportion to their investments)

Ram travels 4/9th of the total journey by bus, 5/18th by rail and the remaining 10 km on foot. Find the distance of total journey.

The average (arithmetic mean) amount of savings of ten students is Rs. 600. Three of the students have no savings at all and each of the others have at least Rs. 250 including Nihar, who has exactly Rs. 1300. The largest amount, in Rs., that any one student could have is

The value of (sec245 - cot245) - (sin230 + sin260) is