Quantitative Aptitude - Arithmetic Ability Questions

Of the 3 numbers whose average is 112, the first is 3/13 times the sum of other 2. The first number is _____.

What is the value of [1/(1 – tan θ)] – [1/(1 + tan θ)]?

Six year ago Parvez’s age was same as the present age of Manish. If the present age of Parvez is one-fourth more than that of Manish's present age, then in how many years will Parvez’s age become double of Manish’s present age?

If x2 + ax + b, when divided by x - 3, leaves a remainder of 22 and x2 + bx +a, when divide by x - 3, leaves a remainder of 24, then a + b = ?

 What is the value of (cosec45 + √3/2) ?

What is the simplified value of 0.042+0.212-0.00840.043+0.213

If a3 + b3 + c3 - 3abc = 0, then the value of a2/bc + b2/ac - 3.

The ratio of salary of X, Y and Z is 15 : 3 : 8. If Z gets Rs. 3960 more than Y, then what is the salary (in Rs.) of X?