Quantitative Aptitude - Arithmetic Ability Questions

In a triangle the length of the side opposite the angle which measures 30 degree is 12 cm, what is the length of the side opposite to the angle which measures 60 degree?

If x = 999, y = 1000, z = 1001, then the value of x3+y3+z3-3xyzx-y+z is

If the expression px3 – 2x2 – qx + 18 is completely divisible by (x2 – 9), then what is the ratio between p and q respectively?

If a dairy mixes cow's milk which contains 10% fat with buffalo's milk which contains 20% fat, then the resulting mixture has fat (120/7)% of fat. What ratio was the cow's milk mixed with buffalo's milk?

The number 3521is divided by 8. What is the remainder?

Two baskets together have 640 oranges. If (1/5)th of the oranges in the first basket be taken to the second basket. The number of oranges in the first basket is

If θ is positive acute angle and 7cos2Ɵ + 3sin2Ɵ = 4, then the value of θ is

If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x3 + y3 + z3 – 3xyz?