Quantitative Aptitude - Arithmetic Ability Questions

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

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 cosA + cos2A = 1 then the value of sin2A + sin4A is

If tan(A/2) = x, then the value of x is

If  x = 2+3,then what is the value of 2x + 12x ?

A boy spends Rs 20 to purchase toffees at Rs 1 each. Next day, he purchased some toffees for Rs 40 with a discount of 50 paise per toffee. What is the average price per toffee (in paise)?

Six years ago, the ratio of the two persons P and Q was 3 : 2. Four years hence the ratio of their ages will be 8 : 7. What is P's age?

If (4x - 3) - (2x + 1) = 4, then the value of x is