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```1.What is the maximum number of identical pieces that can be obtained, when a cube is cut by 21 cuts?

A) 502

B) 522

C) 512

D) 343

**Answer:**

**Explanation:**

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```2.Six digits 1, 2, 3, 4, 5 and 6 are written on different faces of a cube as given below. Which digit is written on the face opposite to 3?

A) 125

B) 216

C) 212

D) None

**Answer:**

**Explanation:**

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```3.) What is the minimum possible number of cuts required to form exactly 1331 identical pieces from cube?

A) 100

B) 35

C) 30

D) None

**Answer:**

**Explanation:**

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```4.What is the minimum possible number of cuts required to cut a cube into 420 identical pieces?

A) 20

B) 22

C) 24

D) None of these

**Answer:**

**Explanation:**

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```5.What is the least number of cuts required to form exactly 100 identical pieces from a cube?

A) 13

B) 14

C) 11

D) 17

**Answer:**

**Explanation:**