Quantitative Aptitude - Arithmetic Ability Questions

The quadratic equation 1+a2x2+2abx+b2-c2=0 has only one root. What is the value of c21+a2 ?

M is the largest three digit number which when divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided by 11?

How many 100 digit positive number are there?

The price of an article is cut by 3%. To restore to its original value, the new price must be increased by

1/(tanA + cotA) is equal to

The ratio of ages of father and son is 7:2. Five years ago the product of their ages was 150. What is the age of the father?

A regular triangular pyramid is cut by 2 planes which are parallel to its base. The planes trisects the altitude of the pyramid. Volume of top, middle and bottom part is V1, V2 and V3 respectively. What is the value of V1 :V2 : V3?

In the first 39 overs of a cricket match, the run rate was 4.6 runs/over. Calculate the required run rate in the remaining 11 overs to reach the target of 252 runs?