Quantitative Aptitude - Arithmetic Ability Questions

Two trains, one 150 m long and the other 130m long, coming from opposite directions crosssed each other in 7.2 seconds. The sum of speed of the two trains every hour would then be

The value of the expression 2(sin6θ+cos6θ) - 3(sin4θ+cos4θ) + 1 is

x, y and z are real numbers. If x3 + y3 + z3 = 13, x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?

If x + y = 3, then what is the value of x3 + y3 + 9xy?

The smallest number, which should be added to 756896 so as to obtain a multiple of 11, is

The sum of all prime numbers between 58 and 62 is

Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500 .The smallest numbers is

When 0.151515.....is converted into a fraction, then the result is