TCS Company Numerical Ability Area and Volume

Smita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to
make a hollow cube looking of the same shape?
a) 98 b) 104 c) 100 d) 61

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TCS Other Question

A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he
can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to
be removed?
a) 2000 b) 5000 c) 3000 d) 7000
What is the remainder when 46! is divided by 47 ?