Quantitative Aptitude - Arithmetic Ability Questions

If xy+yz+zx = 1, then the value of (1+y2)(x+y)(y+z) ?

The value of tan 315° cot (­ -405° ) is equal to

In a company 2/3 of the workers are girls, 1/2 of the girls are married and 1/3 of the married girls live in hostel. If 3/4 of the boys are married and 2/3 of married boys live in hostel. Calculate the part of workers who don’t live in hostel.

The ratio of two numbers is 2 : 3. If the sum of both the numbers is 75, then what is the larger number among both the numbers?

In the following question, select the odd letter/letters from the given alternatives.

If tan π/3c + cosec π/6c = x, then x is

Two identical hemispheres of maximum possible size are cut from a solid cube of side 14 cm. The bases of the hemispheres are part of the two opposite faces of cube. What is the total volume (in cm3) of the remaining part of the cube?

If x + y + z = 0, then what is the value of (3y2 + x2 + z2 )/(2y2 – xz)?