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

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

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

There are 6 blue pens, 5 black pens and 4 green pens in a bag. Three pens are chosen randomly.

If (2x + 3y+ 4) (2x + 3y 5) is equivalent to (ax² + by² + 2hxy + 2gx + 2fy + c), then what is the value - of ((g + f – c) / abh}?

If a + b + c = 0 then the value of (1/(a+b)(b+c)) + (1/(b+c)(c+a)) + (1/(c+a)(a+b)) is

If 2cos² Ɵ – 5cos Ɵ + 2 = 0,0⁰ < Ɵ < 90⁰ , then the value of (cosec Ɵ + cot Ɵ) is :

If x² + y² + 2x + 1 = 0, therefore the value of x³¹ + y³⁵ is

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