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1.
解析:第三个正确
Option 1 – the two facets that are fully shaded in gray are situated in opposing facets, therefore option 1 is incorrect.
Option 2 – the two facets that are fully shaded in gray are situated in opposing facets, therefore option 2 is incorrect.
Option 3 – the three facets appearing in the diagram represent the facet on the far left, the second facet from the left and the facet on top in the main
diagram and they are situated in correct form in relation to each other.
Option 4 – the white diagonal appearing on the top facet is placed in a wrong position in relation to the other two facets (the gray shaded and white
ones). This option is incorrect.2.
解析: 第三个正确
Option 1 – from the main diagram it is clear that the lines appearing in four facets are parallel to each other. Therefore, these lines will never meet. In
option 1, these lines meet in the front and top facets. Therefore, option 1 is incorrect.
Option 2 – from the main diagram it is clear that the lines appearing in four facets are parallel to each other. Therefore, these lines will never meet. In
option 2, these lines meet in the front and top facets. Therefore, option 2 is incorrect.
Option 3 – this answer option is the only one which presents the lines on the facets as parallel to each other. This is the correct answer.
Option 4 – this answer option is incorrect since the lines running across two facets seem perpendicular to each other, this is impossible given that all
lines in the main diagram are parallel to each other. Option 4 is incorrect.3.
解析: 第一个正确
Option 1 – The diagram above consists of two sets of lines that intersect. In this option the facet at the front represents the intersection which appears
at the centre of the base of the diagram. The right facet represents the facet above it in the main diagram and the top facet represents the facet at the
bottom on the left. This is the correct answer.
Option 2 – The two facets with the intersection (x) in the main diagram are situated on opposite facets of the cube and therefore option 2 is incorrect.
Option 3 – The top facet has an X, therefore in relation to it the lines on the facet on the right should be pointing down rather than to the front of the
cube. This option is incorrect.
Option 4 – The facet in the front shows one of the intersections (x). Therefore the facet on top must show the continuation of the lines but it's evident
that it doesn't. Option 4 is incorrect.4.
解析: 第一个正确
Option 1 – The facet at the front represents facet number 4, the top facet represents facet number 2 and the facet on the right represents facet number
5. This is the correct option.Option 2 – If the top facet and the facet at the front represent facets 5 and 2, respectively, then the shape on the right facet should be facing the
opposite direction and located at the opposing side of the right facet. This option is incorrect.
Option 3 – There are two kinds of U shapes in this diagram. The two kinds are represented in the top facet and the facet on the right. In this option,
both U shapes are located at the same end of the facet (parallel to each other); based on the main diagram, it is evident that there aren't any facets in
which both kinds of U shapes are situated next to each other. This option is incorrect.
Option 4 – If the facet at the front represents facet number 6 and the facet on the right represents facet number 2, then the top facet should represent
facet number 5, yet it does not. This option is incorrect.
5.
解析: 第四个正确Option 1 – Each facet in the main diagram consists of a different patterned shape apart from two similar fully shaded shapes. In this option the front
facet is represented by facet number 6 and the top facet, represented by facet number 2, is situated correctly in relation to it. However, the shaded
shape in the facet on the right (facet number 1) should be facing the opposite direction. This option is incorrect.
Option 2 – The shapes on the facet at the front (facet number 5) and on the top facet (facet number 2) are situated in wrong form in relation to each
other. The shaded figure at the top should be facing the opposite direction. This option is incorrect.
Option 3 – The shape on the right facet should be facet number 6 and should have horizontal lines rather than diagonal ones. The shapes on the facet
at the front and on the top facet represent facet number 1 and 5, respectively. This option is incorrect.
Option 4 – The front, top and right facets are represented by facets 2, 3 and 1, respectively. This option is correct.6.
解析: 第三个正确
Option 1 – If the facet at the front and the facet on the top represent facets 5 and 2, respectively, then the facet on the right should be represented by
facet number 6 rather than number 4. This option is incorrect.
Option 2 – If the facet on the right and the facet on the top represent facets 5 and 4, respectively, then the facet at the front should be represented by
facet number 1 rather than number 2. This option is incorrect.
Option 3 – The facet at the front, top and right hand are represented by facets 5, 6 and 1, respectively. This is the correct answer.
Option 4 – Facets 3, 4 and 5 are situated in consecutive order and therefore they could not appear alongside each other as they do in this option but
rather one after the other. This option is incorrect.7.
解析: 第三个正确
Option 1 – This option can be ruled out easily as it shows two blank facets and in the main diagram there is only one. This option is incorrect.
Option 2 – In the top facet and the one on the right the two shapes, resembling a belt with a buckle, face opposite directions. Looking in the main
diagram it is clear that this situation is not feasible. This option is incorrect.
Option 3 – The front, top and facet on the right are represented by facets number 1, 5 and 6, respectively, and the shapes are all situated in a correct
manner. This option is correct.
Option 4 – The top and right facet are represented by facets number 5 and 6, respectively. This means that the facet at the front should be represented
by facet number 1, with the 'buckle' end of the belt facing the right, rather than the bottom. Therefore, this option is incorrect.8.
解析: 第一个正确Option 1 – The main diagram consists of three blank facets and 3 facets with a 'floral' pattern. The facets seen in option 1 represent facets 6, 3 and 2
(front, top and right, respectively). This is the correct answer.
Option 2 – In the front facet in the cube, two parts of a flower are presented. When observing the main diagram it is clear that such a facet does not
exist. This option is incorrect.
Option 3 – This option can be easily ruled out, since the top and front facets are represented by facets 3 and 6. Therefore, just like in option 1, the right
facet should be represented by facet 2. This option is incorrect.
Option 4 – The only option for all three facets with the flower part to be seen are if they combine to create a flower (like in option 1). This option is
incorrect.
9.解析: 第三个正确
Option 1 – The main diagram has only two blank facets (1 and 6) – this means that the top facet shown in option number 1 can represent facets 3 or 5.
Yet in both facets the shaded triangle should be in the opposite location in relation to the other two facets. This option is incorrect.
Option 2 – The front facet presents a gray diamond facet which does not appear in any of the facets in the main diagram. This option is incorrect.
Option 3 – The top and front facet represent facets 2 and 5, respectively. Therefore, the facet on the right should be blank (facet 1). This option is
correct.
Option 4 – All three shaded triangles in the three facets of the cube in option 3 are located in the same place on the facet. This situation is impossible
given the locations of the shaded triangles in the main diagram. This option is incorrect.
10.解析: 第二个正确
Option 1 – The main diagram consists of three blank facets (2, 3, 4) and three facets with shapes in them (1, 5, 6). The front and top facets in cube
number 1 represent facets 5 and 6, respectively. Since the design is facing up in both facets this means that the facet on the right should be
represented by facet number 1 but it isn't – it's blank. This option is incorrect.
Option 2 – The front, top and right facet represent facets 2, 6 and 5, respectively. This is the correct answer.
Option 3 – The front facet should be represented by facet number 2 rather than number 1 due to the location of the designs on the top and right facets.
This option is incorrect.
Option 4 - The top facet should be represented by facet number 2 rather than number 1 due to the location of the designs on the front and right facets.
This option is incorrect.11.
解析: 第二个正确
The main diagram consists of 4 facets with a line cutting across, a blank facet and a facet with a number of lines across. Due to the location of the four
facets with the line cutting across (facets 1, 2, 4, 6), these facets can only be situated in such a way that encircles the cube.
Option 1 – On all three facets there are lines cutting across the middle which is impossible (see explanation above). This option is incorrect.
Option 2 – The front, top and right facet represent facets 5, 2 and 6 respectively. This is the correct answer.Option 3 - On all three facets there are lines cutting across the middle which is impossible (see explanation above). This option is incorrect.
Option 4 – The blank facet and the facet with the multiple lines sit in opposing facets in the main diagram (3 and 5, respectively) and therefore this
option is incorrect.
12.
解析: 第一个正确
Option 1 – The main diagram consists of the letters A, B, C – each appearing in two facets. The letters are situated in correct form in relation to each
other. This option is correct.
Option 2 – The right facet should have a C on it situated in the opposite direction in relation to the top and front facets. This option is incorrect.
Option 3 – The two facets with the letter B on them are placed in opposing facets therefore there is no situation in which these two facets could be
placed next to each other as shown in option 3. This option is incorrect.Option 4 – The front facet has a C on it and the right facet has an A on it. The way in which the two letters are situated next to each other is not
feasible. This option is incorrect.
13.
解析: 第二个正确
The main diagram consists of three blank facets and three facets each with a different pattern on it.
Option 1 – The top and front facet represent facets 6 and 5, respectively. This mean that the right facet should not be blank but should be represented
by facet number 1. This option is incorrect.Option 2 – The top and right facet represent facets 6 and 5, respectively. This mean that the facet at the front should be blank (facet number 2). This
option is correct.
Option 3 – The top and right facet represent facets 6 and 5, respectively. This mean that the facet at the front should be blank but it isn't. This option is
incorrect.
Option 4 – The right and front facet represent facets 6 and 5, respectively. This mean that the top facet should be blank but it isn't. This option is
incorrect.
14.
解析: 第一个正确
Option 1 – When folding the cube using your imagination the gray facet and the facet with the gray triangles are situated in relation to each other as
they appear in this option. This means the facet on the right should consist of a gray triangle which colours the lower-right hand side of the facet – as it
appears in this option. The answer is correct.Option 2 – the facets with the small triangles (gray and white) are situated on opposing sides of the cube, therefore option 2 is incorrect.
Option 3 – the two facets with the gray triangle in them are not situated in relation to each other as they appear in option 3. This option is incorrect.
Option 4 – the two facets with the gray triangle in them are not situated in relation to each other as they appear in option 4. This option is incorrect.
15.
解析: 第一个正确
Option 1 – If the facet on the front and the top facet represent the central element in the main diagram (the triangle with the black dots) and the 2nd
element from the right (the gray shaded triangle) then the facet on the right should have vertical lines (representing the bottom facet in the main
diagram. Option 1 is correct.Option 2 – the facet on the right should have horizontal lines on it rather than a spotted triangle in relation to the two facets with the gray triangles.
Option 2 is incorrect.
Option 3 – the spotted triangles and the gray triangles are located on opposite ends of the facets. Yet, in option 3 their location on their respective
facets is similar. Therefore, this option is incorrect.
Option 4 – this option is very similar to option 1, yet rather than vertical lines, the lines on the right facet are horizontal. Therefore this option is
incorrect.
16.
解析: 第二个正确
Option 1 – the two facets with the squares in the middle appear one after the other in the main diagram. Therefore, the facets with the X on them
should appear on the top and bottom facets in relation to them. This is not the case in option 1. Option 1 is incorrect.Option 2 – the facet with the square represents the facet on the far left in the main diagram, and the facet with circle represents the facet on the far
right of the main diagram. This means the facet on the front should have an X, representing the facet at the top in the main diagram. Option 2 is
correct.
Option 3 – since the three facets with the X are located one after the other, they can not appear at the top, front and right facets as they do in answer
option 3. This option is incorrect.
Option 4 – the main diagram does not have two facets with circles therefore this option is incorrect.
17.
解析: 第一个正确Option 1 – the front facet represents facet number 3, therefore the top facet should represent facet number 4 and the half circle should be facing the
left – which it does. This means the facet on the right should represent facet number 1 and the half circle should be facing forward. This is the correct
answer.
Option 2 – if the front facet represents either facet 3 or 6 then on the facet on the right there should appear either half a circle or half a square facing
down rather than to the back. This option is incorrect.
Option 3 – the facets at the front and on the right represent facets 3 and 6 – either way the top facet cannot have half a circle facing the left. This
option is incorrect.
Option 4 – Facets 2 and 4 represent the top and front facets. Therefore the right facet represents either facet 3 or 5 – but the half square should not be
facing the front. This option is incorrect.
18.解析: 第四个正确
Option 1 – The facet on the right has half of a circle facing the front this means that the facet on the front should either have half of a circle on the right
of the facet or half of a square facing up. Option 1 is incorrect.
Option 2 – In the main diagram it is evident that you can not find half a circle and half a square in adjacent facets that are either facing the left or the
right, therefore the front and right facets in option 2 could not be arranged in such a way. Option 2 is incorrect.
Option 3 – the front and right facets represent facets 1 and 5, this means the top facet could represent either facet 4 or 6 in which case the half circle
could not be facing the front. Option 3 is incorrect.
Option 4 – the top, front and right facet represent facets 3, 4 and 2, respectively. Option 4 is correct.
19.解析: 第四个正确
There are three types of patterns in this diagram – vertical, horizontal and diagonal lines. Each pattern can be found on two facets.
Option 1 – If the facet at the front represents facet number 5 and therefore the facet at the top represents facet number 2 then facet number 6 should
appear on the right but it doesn't. Thus, option number 1 is incorrect.
Option 2 – there does not exist a situation whereby the diagonal lines and the vertical lines are placed in relation to each other as they appear in option
2. This option is incorrect.
Option 3 – At the top of the front facet and at the front of the top facet diagonal patterned rectangles appear representing facets 3 and 4. This means
that in the facet on the right the vertical line patterned rectangle representing facet 1 should appear at the top of the facet rather than the bottom. Option
3 is incorrect.
Option 4 – The front facet represents facet number 6 and the facet on the right represents facet number 3. In relation to them the top facet should be
represented by facet number 2, which is the case. Option 4 is correct.20.
解析: 第三个正确
Option 1 – all facets of this cube have a quarter of a gray circle in them. The facet on the right in option 1 has a white circle part and therefore this
option can be ruled out.
Option 2 – the facet in the front has the upper-right hand part of a circle and the facet on the right shows the upper-left hand side of a circle. This
means that the top facet should either show the lower right part of a circle or the upper-left part of a circle, yet it shows the lower-left part of the circle
and therefore it is incorrect.
Option 3 – the facet at the front, the top facet and the facet on the right represent facets 1, 5 and 6, respectively. This is the correct answer.
Option 4 – the facet at the front and the facet on the right both have the same circle parts. This means that in the main diagram we should be able to
find two facets, one after the other, that have the same circle parts – but there aren't so this option is incorrect.21.
解析: 第三个正确
Option 1 – Each facet in the main diagram is represented by a different
number of dots. The front, top and right facets represent facets 6, 5 and 2,
respectively. However, the 3 dots on the top facet should be lined horizontally
rather than vertically in relation to the two other facets. This option is
incorrect.
Option 2 –The front, top and right facets represent facets 1, 4 and 5,
respectively. However, the 2 dots on the top facet should be in the opposing
corners of the top facet in relation to the two other facets. This option is
incorrect.
Option 3 –The front, top and right facets represent facets 4, 3 and 2,
respectively, and the dots in each facets are situated correctly in relation to
the other two facets. This option is correct.
Option 4 - The front and top facets represent facets 3 and 6, respectively.
Therefore, the facet on the right should be represented by facet number 2,rather than facet number 1. This option is incorrect.
22.
解析: 第二个正确
Option 1 – The facets on the right, at the top and the front could represent facets 3, 4 and 2, respectively. However, if this is the case than the two
triangles in the front facet should have been in opposite locations. This option is incorrect.
Option 2 - The facets on the right, at the top and the front represent facets 4, 5 and 2, respectively, and the design in each facet is portrayed in the
correct manner. This option is correct.Option 3 – If the facet at the front represents facet 4 and the facet on the right represents facet 3 then the top facet should represent facet 1 and be
covered in black dots, but it isn't. This option is incorrect.
Option 4 – The facets on the right, at the top and the front could represent facets 2, 3 and 4, respectively. However, if this is the case than the two
triangles in the right facet should have been in opposite locations. This option is incorrect.
23.
解析:答案第四个The main diagram consists of 3 pairs of elements. Each facet is split three ways horizontally. In each facet a different part (1/3) is shaded.
Option 1 – In this option in the front facet and the facet on the right the central part of the facets is shaded, however when observing the main diagram
it is clear that these two facets are situated in opposing sides. This option is incorrect.
Option 2 – If the front and top facet represent facets number 1 and 4, respectively then the shaded part in the right facet should be vertical rather than
horizontal in relation to the other two facets. This option is incorrect.
Option 3 – If the front facet represents facet number 5 then the right facet should represent facet number 6 with the 'white ladder' pattern. This option
is incorrect.
Option 4 – The top, front and right facets represent facets number 6, 2 and 5, respectively. This answer is correct.
24.解析: 答案第二个
Option 1 – The facet with the reversed Z shape is in front, this means that to its right a regular Z shape should appear or a diagonal line leaning to the
right. However, the diagonal line in the diagram is leaning to the left, so this option is false.
Option 2 – The facet in front has a Z shape, and on the facet to its right is a mirror image (reverse side of the Z shape), this means that in relation to
the se two facets, the facet on top should also have a regular Z shape (which it does). Option 2 is the correct answer.
Option 3 – The top facet should have a regular Z shape on it, rather than a reverse shaped Z (in relation to the facet with the diagonal in front). Option
3 is incorrect.
Option 4 – If the facet in front has a regular Z shape, this means the facet to its right should have a reverse side Z on it rather than a diagonal. Option
4 is incorrect.
25.解析: 答案第四个
The shapes in this question resemble the letter K. In option 1 – the K in the facet at the front seems to be 'lying on its back', while the K on the top
facet appears in regular form. These facets can appear in such a way in relation to each other. However the K in the facet on the right should appear
'face down' rather than in regular form. Option 1 is incorrect.
Option 2 – the K' in the top and front facets appear in regular form; this can not occur. Option 2 is incorrect.
Option 3 – the K' in the right and front facets appear 'lying on thier back'; this can not occur. Option 3 is incorrect.
Option 4 – if the K's in the top and front facets are situated in such a way in relation to one another, then the K in the facet on the right could be facing
the right (mirror image of the letter K). Option 4 is correct.
26.解析: 答案第四个
Option 1 – This cube is made up of gray and white triangles - three of each. In option 1 the triangle on the facet on the right should be pointing
upwards in relation to the triangle in the top facet.
Option 2 – if the top and right facets represent facet 5 and 1, respectively, then facet 6 should be at the front which is not the case.
Option 3 – If the top facet represent facet number 5 and the facet on the right represents facet number 6, then the facet at the front should represent
facet 1 but the triangle should be pointing upwards rather than sideways.
Option 4 – the facets that are shown in this diagram represent facets number 4, 5 and 1. This is the correct answer.
27.解析: 答案第四个
Option 1 – If the facet in the front represents facet number 4 then the facet on the right represents facet number 5, yet the top facet should represent
facet number 2 but it doesn't. This option is incorrect.
Option 2 – If the facet in the front represents facet number 6 then the facet on the right represents facet number 3, yet the top facet should represent
facet number 2 but it doesn't. This option is incorrect.
Option 3 – The front facet represents facet number 1, therefore the top facet represents facet number 6, but the L should be facing the opposite
direction. This option is incorrect.
Option 4 – The facets seen in the diagram represent facets 1, 5 and 6. This is the correct option.