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If 8x² + y² − 12x − 4xy + 9 = 0, then the value of (14x − 5y) is :

 is equal to:

If x + y + z = 19, xyz = 216 and xy + yz + 2x = 114, then the value of √ x³ + y³ + z³ + xyz  is :

Quantity I – In how many ways letters of MOBILE can be arranged when vowels are always together.

The value of the expression (1 + sec22° + cot68°)(1 – cosec22° + tan68°) is

10 women and 12 men complete a certain piece of work in 30 days, if each women takes thrice the time taken by a man to finish the work.

If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?

If x sin³ θ + y cos³ θ = sin θ cos θ and x sin θ − y cos θ = 0, then the value of x² + y² equals

The simple interest accrued on a sum at the rate of 10% p.a. for two years is Rs. 5,000.