Quantitative Aptitude - Arithmetic Ability Questions

If [√(a2 + b2 + ab)] + [√(a2 + b2 – ab)] = 1, then what is the value of (1 – a2 )(1 – b2 )?

Find the length of one side of a rhombus whose area is 24 sq.cm and the sum of the lengths of its diagonals is 14 cm.

If 9/4th of 7/2 of a number is 126, then 7/2th of that number is _____.

P does half as much work as Q in 1/3 of the time. If together they take 15 days to complete a work, how many days will P take to do it alone?

The numbers x, y, z are respectively proportional to 2, 3, 5 and the sum of x, y and z is 80. If the number z is given by the equation z = ax­-8, then a is

A factory buys 10 machines. 1 Machine­A, 4 Machine­B and rest Machine­C. Prices of the machines are Rs 90000, Rs 40000 and Rs 40000 respectively. Calculate the average cost of these machines?

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?

The total surface area of a hemisphere is 462 sq cm, what is its curved surface area? (Take π = 22/7)