NTSE Government Jobs Exams Numerical Ability Data Sufficiency

What is the maximum number of pieces into which a cube can be cut by 11 cuts

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NTSE Other Question

What is the minimum number of cuts required to cut a cube into 8 pieces 9 years ago A's age and B's age were in the ratio of 5:7. Which of the following cannot be the ratio of their ages five years from now:
a) 11/13 b)13:19 c)21.25 d)15:16
Give explanation