Quantitative Aptitude - Arithmetic Ability Questions

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?

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

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

Working 5 hours a day, Shivam can read a book in 24 days. How many hours a day should he work so as to finish the same work in 8 days?

P and Q can do a project in 20 and 12 days respectively. In how many days can they complete 40% of the project if they work together?

In simple interest rate per annum a certain sum amounts to Rs. 5,182 in 2 years and Rs. 5,832 in 3 years. The principal in rupees is

If Sec θ = 13/12, then Cot θ = ?

If cot π/3c -­ tan π/4c = x, then the value of x is