Tips on cracking Reasoning Questions on Dices, Cubes & Cuboids

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3 Tips on Cracking Reasoning Questions on Dice,
Cubes and Cuboids
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Tip 1 Mentally rotate the dice to see which
faces are adjacent and which are opposite
Question Two positions of a dice are shown
below. Which number will appear on the face
opposite to the face with the number 4?
Solution 2, 3, 5 and 6 are adjacent to 4
and cannot be opposite to 4. The current answer
is 1 Question Two positions of a dice are
shown below. Which number will appear on the face
opposite to the face with the number 2?
Solution From the given figures, it is
clear that figure (ii) is obtained by rotating
the cube in figure (i) one face to the left while
holding the top and bottom constant. Hence, the
opposite face of 2 has 4
4
4
3
2
6
5
(i)
(ii)
5
5
4
3
2
3
(i)
(ii)
3
Tip 1 Mentally rotate the dice to see which
faces are adjacent and which are opposite
(continued)
Question Two positions of a dice are shown
below. Which number will appear on the face
opposite to the face with the number 4?
Solution Figure (ii) is obtained by
making two rotations from (i) while holding the
front (face with 3) and back constant. Hence,
the opposite of 4 is 2 Question Two positions
of a dice are shown below. Which number will
appear on the face opposite to the face with the
number 3? Solution If you
mentally rotate cube in figure (i) such that face
1 goes to the right and 5 and 3 are hidden from
view with 5 at the bottom and 3 at the back, you
will arrive at (ii). Hence, the opposite of 3 is 2
5
6
2
4
3
3
(i)
(ii)
1
4
1
3
5
2
(i)
(ii)
4
Tip 2 While folding a plus into a cube, the
square at the longer end always forms the top of
the cube and the middle square at the
intersection will be the base of the cube
Question The figure given on the left hand side
in each of the following questions is folded to
form a box. Choose from the alternatives (1),
(2), (3) and (4) the boxes that is similar to the
box formed. A. 1, 2 and 4 only B. 3 and 4 only C.
1 and 2 only D. 1, 2 and 3 only Solution The
square at the longer end will form the top while
the middle square will form the base. The rest 4
sides that consist of 2 unshaded squares and 2
partially shaded squares will form the lateral
edges. By rotating the dice formed, we would be
able to visualize (1), (2) and (4).
So, the correct option
will be A.

Base
Top
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Tip 3 Draw indicative diagrams for cubes and
cuboids to simplify the problem
A cuboid shaped wooden block has 4 cm length, 3
cm breadth and 5 cm height. Two sides measuring 5
cm x 4 cm are colored in red. Two faces measuring
4 cm x 3 cm are colored in blue. Two faces
measuring 5 cm x 3 cm are colored in green. Now
the block is divided into small cubes of side 1
cm each. Question How many small cubes will
have two faces colored with red and green colors?
Other faces of the small cube could be colored or
blank. A. 12 B. 8 C. 16
D. 20 Solution Cubes painted red and green on
two sides will be along the left and right sides
(5 cm length each) of the top and the bottom
face. Thus, no. of such cubes 5 x 4 20.
Answer is D. Question How many small cubes
will have no faces colored ? A. None
B. 2 C. 4 D. 6 Solution
The cubes that will not be part of the faces of
the cuboid will have no color. Thus, no. of such
cubes 2 x 3 x 1 6. So the correct answer will
be D.
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