Quantitative Aptitude - Arithmetic Ability Questions

If k is the largest possible real number such that p4+q4=(p2+kpq+q2)(p2-kpq+q2),then the value of k is

In what time will a 100 metre long train running with a speed of 50 km/hr cross a pillar?

In the first 43 overs of a cricket match, the run rate was 5 runs/over. Calculate the required run rate in the remaining 7 overs to reach the target of 285 runs?

One diagonal of a rhombus is half the other. If the length of the side of the rhombus is 20 cm, what is the area of the rhombus?

At an average of 80 km/hr Shatabdi Express reaches Ranchi from Kolkata in 7 hrs. Then the distance between Kolkata and Ranchi is

1/3 part of a certain journey is covered with the speed of 25 km/hr, 1/2 part of the journey is covered with the speed of 45 km/hr and the remaining part covered with the speed of 37.5 km/hr. What is the average speed (in km/hr) for the whole journey?

The volume of a cube is 166.375 cm3. Find its side (in cm).

PQRS is a square whose side is 16 cm. What is the value of the side (in cm) of the largest regular octagon that can be cut from the given square?