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NTSE Sample Paper NTSE MAT Practice Test-16

  • question_answer
    Directions for Questions - A cube is painted blue on all faces and is then cut into 125 cubes of equal size. Answer the following questions based on this statement.
    How many cubes are not painted on any face?

    A) 8

    B) 16

    C) 27            

    D) 36

    Correct Answer: C

    Solution :

    Edge of the large cube \[=\text{ }{{\left( 125 \right)}^{\frac{1}{3}}}\text{ }=\text{ }5\]units The number of cubes "without any paint\[={{\left( \frac{5}{1}-2 \right)}^{3}}=27\]


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