CAT 1996 — DILR Question 45
Direction: Answer the questions based on the following information.
The first table gives the percentage of students in MBA class, who sought employment in the areas of finance, marketing and software. The second table gives the average starting salaries of the students per month, (rupees in thousands) in these areas. The third table gives the number of students who passed out in each year.
First table
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âââââââSecond table
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âââââââThird table
A cube of side 12 cm is painted red on all the faces and then cut into smaller cubes, each of side 3 cm. What is the total number of smaller cubes having none of their faces painted?
Answer & solution
- A
16
8
- C
12
- D
24
Since each side of the smaller cube is 3 cm, it can be figured out that each face of the original cube is divided into 4 parts, or in other words, the original cube is divided into 64 smaller cubes. For a smaller cube to have none of its sides painted, it should not be a part of the face of the original cube (i.e. none of its faces should be exposed).
We can find at the centre of the original cube there are (2 × 2 × 2) = 8 such cubes.
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âââââââHint:
âââââââStudents please note that the answer can only be a cube of some integer. The only cube among the answer choices is (2)3 = 8.