Quantitative Aptitude - Arithmetic Ability Questions

If P = 7 + 4√3 and PQ = 1, then what is the value of (1/P2) + (1/Q2)?

If tan θ + cot θ = x, then what is the value of tan4θ + cot4θ?

The cube of 997 is

Two labourers A and B are paid a total of Rs. 750 per day. If A is paid 150 percent of what is paid to B, how much (in Rs) is B paid?

Meghnad can do a piece of work in 45 hours. If he is joined by Jayshri, who is 50% more efficient, in what time will they together finish the work?

Karan, Arjun, Preeti, Priya and Ashish are travelling in a car. Three years ago, the average age of Arjun, Preeti and Priya was 42 years. If the present age of Karan is 65 years and the present average age of all five is 50 years, then what is the present age of Ashish?

A cuboid of size 50 cm × 40 cm × 30 cm is cut into 8 identical parts by 3 cuts. What is the total surface area (in cm2) of all the 8 parts?

A can do a work in 20 days and B in 10 days. If they work on it together for 5 days, then what fraction of work is left.