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

If -5 ≤ x ≤ 3 and -1 ≤ y ≤ 0, then the minimum value of 2y – 3x is:

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

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

Find x, given 5 (√5)^x+6 = (√5)^2x+7 :

If a³ = 117 + b³ and a = 3 + b, then the value of a + b 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.

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