Quantitative Aptitude - Arithmetic Ability Questions

A, B and C can finish a job working alone in 20, 30 and 60 days respectively. They all work together for 1 day, then A and B quit. How many days C working alone will take to finish the remaining part of the job?

In ΔABC, AC = BC and ∠ABC = 50°, the side BC is produced to D so that BC = CD then the value of ∠BAD is

A rectangular playground ground of length 125 m and width 75 m, has a walking strip of width 3 m in the middle of the ground, along the longer side. What is the area of the ground without the walking strip?

If a + b = 1 and ab = -6, then what is the value of a3+ b3?

If Sin θ = 12/13, then what is the value of Cot θ?

If -3/2 + (2/3)(3x + 9) = x/2, then what is the value of x?

What is the value of 1sin490-θ+1cos290-θ - 1 ?

If sec2θ+tan2θ=3, then sec4θ-tan4θ =