Quantitative Aptitude - Arithmetic Ability Questions

Consider the figure shown below which consists of the triangle ABC which touches the circle with centre at O. Which of the following options is CORRECT?

When x2+ax+b is divided by (x-1), the remainder is 15 and when x2+bx+a is divided by (x+1), the remainder is -1, then the value of a2+b2 is

If the curved surface area of a right circular cone is 3080 sq cm and its slant height is 35 cm, find its total surface area?

The sum of a fraction and 3 times its reciprocal is 19/4. What is the fraction?

Of the 5 numbers whose average is 78, the first is 2/11 times the sum of other 4. The first number is

The sum of a fraction and 10 times its reciprocal is 37/4. What is the fraction?

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

A truck moves at the speed of 90 km/hr after repairing and moves at the speed of 80 km/hr before repairing. It covers x distance in 8 hours after repairing. How much time (in hours) will it take to cover 4x distance before repairing?