Quantitative Aptitude - Arithmetic Ability Questions

Which of the following quadratic equations has real roots?

The addition of a rational number and its reciprocal is 61/30. Calculate the number.

A non-zero number is greater than 7 times its reciprocal by 9.3. What is the number?

A cricketer, whose bowling average was 12.4 runs/wicket takes 5 wickets for 22 runs in a match, thereby decreases his average by 0.4. The number of wickets, taken by him before this match was:

In a mixture of 25 litres, the ratio of milk to water is 4:1. Another 3 litres of water is added to the mixture. The ratio of milk to water in the new mixture is

4 hrs after a goods train passed a station, another train travelling at a speed of 60 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 8 hours. What is the speed of the goods train?

Expand and simplify (x + 4)2 + (x -­ 2)2

If cos 135° = x, then the value of x is