Quantitative Aptitude Surds & Indices Question

1. If 2^w = 3^y = 6^-z, then (1 / w + 1 / y + 1 / z) is equal to :

2. If 2^y x 8^{1 / 5}, then y is equal to :

3. If ³√32 = 2^y, then y is equal to :

4. If 2^{y - 1} + 2^{y + 1} = 320, then y is equal to :

5. If a^w = b^y = c^z and b² = ac, then y equals :

6. If 5^{y + 3} = (25)^{3y - 4}, then the value of y is :

7. If 2^{2y - 1} = 1 / 8^{y - 3}, then the value of y is :

8. If √5 + ³√y = 3, then y is equal to :

9. If w = y^a, y = z^b and z = w^c, then the value of abc is :

10. If (a / b)^{y - 1} = (b / a)^{y - 3}, then y is equal to :