Quantitative Aptitude - Arithmetic Ability Questions

Which of the following quadratic equations has real roots?

Two whole numbers are such that the cube of first number exceeds the cube of second by 61 and the ratio of the numbers is 5:4. What is the value of larger number?

Two whole numbers are such that the square of first number exceeds the second by 112 and the ratio of the numbers is 4:3. What is thevalue of smaller number?

Points P , Q and R are on a circle such that ∠PQR = 40° and ∠QRP = 60° . Then the subtended angle by arc QR at the centre is

A man starts moving from a place A and reaches the place B in 26 hours. He covers 1/3rd of the distance at the speed of 4 km/hr and covers the remaining distance at the speed of 5 km/hr. What is the distance (in km) between A and B?

A sum fetched a total simple interest of Rs 5320 at the rate of 7% per year in 5 years. What is the sum?

The ratio of sand to gravel in a mixture is 17:8 while that between gravel and cement is 6:17. What is the ratio of sand to cement in the mixture?

If curved surface area of a cylinder is 1386 sq cm and height is 21 cm, what will be its radius? (Take π = 22/7)