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Q:

# What will be the number at the bottom, if 5 is at the top; the two positions of the dice being as given below:

 A) 1 B) 2 C) 3 D) 6

Answer:   B) 2

Explanation:

From figures (i) and (ii), it is clear that 4, 1, 3 and 6 he adjacent to 2. Therefore, 5 must lie opposite 2. Thus, if 5 is at the top, then 2 must be at the bottom.

Q:

Find the total number of cubes in the given figure ?

 A) 56 B) 60 C) 64 D) 72

Answer & Explanation Answer: A) 56

Explanation:

(Total numbers of cubes in a line  x  Number of stack / tower) + ...

= (6x1)+(5x2)+(4x3)+(3x4)+(5x2)+(6x1)

= 6+10+12+12+10+6 = 56

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Filed Under: Cubes and Dice - Non Verbal Reasoning
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

7 296
Q:

A cube is painted blue on two adjacent surfaces and black on the surfaces opposite to blue surfaces and green on the remaining faces .Now the cube is cut into 216 smaller cubes of equal size.

 A) 56 B) 48 C) 32 D) 64

Answer & Explanation Answer: D) 64

Explanation:

We know that Cubes with no surface painted can be find using $(x-2)^{3}$, where x is number of cuttings. Here x=6.

$\therefore$ $(6-2)^{3}&space;=4^{3}=64$

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Filed Under: Cubes and Dice - Non Verbal Reasoning
Exam Prep: Bank Exams , CAT
Job Role: Bank PO

8 253
Q:

Choose the box that is similar to the box formed from the given sheet of paper (A).

(A)

 A) Option 1,2 and 3 B) Option 1,3 and 4 C) Option 2 and 3 D) Option 2,3 and 4

Answer & Explanation Answer: B) Option 1,3 and 4

Explanation:

When the sheet in fig. (A) is folded, then one of the faces of the cube formed will be of the form   and this face will lie opposite the face bearing a square. Also, one of the blank faces lies opposite another blank face and the third blank face lies opposite the face bearing an '=' sign. Clearly, all the three blank faces cannot appear adjacent to each other. So, the cube shown in fig. (2) which has all the three blank faces adjacent to each other cannot be formed. Hence, only the cubes shown in figures A, C and D can be formed.

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Filed Under: Cubes and Dice - Non Verbal Reasoning
Exam Prep: Bank Exams
Job Role: Bank Clerk

4 315
Q:

Choose the box that is similar to the box formed from the given sheet of paper (A).

(A)

 A) Option 1,2 and 3 B) Option 1,2 and 4 C) Option 2 and 3 D) Option 2,3 and 4

Answer & Explanation Answer: D) Option 2,3 and 4

Explanation:

when a cube is formed by folding the sheet shown in fig. (A), then   is one of the faces of the cube and this face lies opposite to a blank face. Also, a face bearing a square lies opposite to another blank face. The remaining two blank faces lie opposite to each other. Clearly, in the cube shown in fig. (1), the face consisting of the four symbols is not the same as that formed (as shown above). Hence, the cube in fig. (1) cannot be formed

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Filed Under: Cubes and Dice - Non Verbal Reasoning
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

4 284
Q:

Count the number of cubes in the given figure.

 A) 130 B) 132 C) 138 D) 140

Answer & Explanation Answer: D) 140

Explanation:

In the figure, there are

5 columns containing 4 cubes each;

33 columns containing 3 cubes each;

9 columns containing 2 cubes each and 3 columns containing 1 cube each.

$\fn_cm \therefore$ Total Number of cubes = ( 5 x 4) + (33 x 3) + (9 x 2) + (3 x 1) = 20 + 99 + 18 + 3 = 140

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