Question 1
In each of the following questions, there is a certain relationship between the two figures given on the left side of (::). From the answer figures, select the one that has the same relationship with figure (C) as figure (B) has with figure (A).
Explanation
Figure B is figure A rotated 135 degrees clockwise, with the pivot dot at the tail and the small barb on the shaft both carried along unchanged. Applying the same 135-degree clockwise rotation to figure C (pointing down-left) brings it all the way back around to pointing straight up.
Option 1 shows the arrow pointing straight down, only 180 degrees short of a full 360-degree turn from C rather than exactly 135 degrees further.
Option 2 shows a diagonal up-left arrow, 45 degrees short of the correct position.
Option 4 shows a horizontal right-pointing arrow, only 90 degrees of rotation from C instead of 135.
Option 5 shows a diagonal up-right arrow, 45 degrees past the correct position.
Option 3 correctly shows the arrow pointing straight up, exactly 135 degrees clockwise from figure C, so it is the right answer.
Option 1 shows the arrow pointing straight down, only 180 degrees short of a full 360-degree turn from C rather than exactly 135 degrees further.
Option 2 shows a diagonal up-left arrow, 45 degrees short of the correct position.
Option 4 shows a horizontal right-pointing arrow, only 90 degrees of rotation from C instead of 135.
Option 5 shows a diagonal up-right arrow, 45 degrees past the correct position.
Option 3 correctly shows the arrow pointing straight up, exactly 135 degrees clockwise from figure C, so it is the right answer.
Shortcut Method
Rule: A → B is a 135° clockwise turn (pivot dot and barb move with it) → apply the same turn to C (down-left, 225°) → 225+135=360=0° (up)
∴ Option 3 is correct ✓
∴ Option 3 is correct ✓
Question 2
Study figures (A) and (B) below; they share a definite relationship. Choose the answer figure that relates to figure (C) in the very same way.
Explanation
Two things must both carry over from A to B: the shape becomes solid black, and the small red reference dot stays fixed in the top-left corner throughout. Applying both to figure C (a hollow square with the dot top-left) gives a solid black square with the dot still in the top-left corner.
Option 2 correctly fills the square solid black but drops the reference dot entirely.
Option 3 keeps the dot in place but leaves the square hollow, not applying the fill toggle.
Option 4 correctly fills the shape solid black and keeps a dot in the top-left corner, but changes the shape itself to a circle instead of keeping it a square.
Option 5 correctly fills the square solid black but moves the dot to the top-right corner instead of leaving it top-left.
Option 1 correctly shows a solid black square with the red dot still in the top-left corner, so it is the right answer.
Option 2 correctly fills the square solid black but drops the reference dot entirely.
Option 3 keeps the dot in place but leaves the square hollow, not applying the fill toggle.
Option 4 correctly fills the shape solid black and keeps a dot in the top-left corner, but changes the shape itself to a circle instead of keeping it a square.
Option 5 correctly fills the square solid black but moves the dot to the top-right corner instead of leaving it top-left.
Option 1 correctly shows a solid black square with the red dot still in the top-left corner, so it is the right answer.
Shortcut Method
Rule: A → B fills the shape solid black AND keeps the corner dot fixed → apply both to C (square) → solid black square, dot still top-left
∴ Option 1 is correct ✓
∴ Option 1 is correct ✓
Question 3
Figures (A) and (B) are related in a specific way. Pick the answer figure that bears the same relationship to figure (C).
Explanation
Figure B has one more dot than figure A (2 dots becomes 3 dots), the shape itself unchanged. Applying the same "count increases by 1" rule to figure C (2 stars) gives 3 stars, evenly spaced.
Option 1 simply repeats figure C unchanged, with no increase in count.
Option 2 shows 3 stars but unevenly spaced, with two stars bunched close together and the third set apart -- the count is right but the spacing is wrong, so look carefully rather than just counting.
Option 3 shows 4 stars, two more than C rather than one more.
Option 5 shows 3 evenly spaced stars plus an extra small dot beneath them, an unrelated addition rather than a true count increase.
Option 4 correctly shows exactly 3 evenly spaced stars, one more than C, so it is the right answer.
Option 1 simply repeats figure C unchanged, with no increase in count.
Option 2 shows 3 stars but unevenly spaced, with two stars bunched close together and the third set apart -- the count is right but the spacing is wrong, so look carefully rather than just counting.
Option 3 shows 4 stars, two more than C rather than one more.
Option 5 shows 3 evenly spaced stars plus an extra small dot beneath them, an unrelated addition rather than a true count increase.
Option 4 correctly shows exactly 3 evenly spaced stars, one more than C, so it is the right answer.
Shortcut Method
Rule: A → B adds one more of the same item → apply to C (2 stars) → 3 stars
∴ Option 4 is correct ✓
∴ Option 4 is correct ✓
Question 4
A particular rule links figure (A) to figure (B). Identify the answer figure that follows the same rule when applied to figure (C).
Explanation
Figure B swaps the outer and inner shapes of figure A: the circle (previously outer) becomes the small inner shape, and the square (previously inner) becomes the outer shape. Applying the same swap to figure C (triangle outside, circle inside) gives a circle outside with a small solid triangle inside.
Option 1 simply repeats figure C unchanged, with no swap.
Option 2 swaps the outer shape to a square instead of a circle.
Option 4 keeps the circle outside but leaves a small solid square inside instead of a triangle.
Option 5 keeps the triangle outside and only makes the inner circle hollow, without swapping the shapes at all.
Option 3 correctly shows a circle outside with a small solid triangle inside, so it is the right answer.
Option 1 simply repeats figure C unchanged, with no swap.
Option 2 swaps the outer shape to a square instead of a circle.
Option 4 keeps the circle outside but leaves a small solid square inside instead of a triangle.
Option 5 keeps the triangle outside and only makes the inner circle hollow, without swapping the shapes at all.
Option 3 correctly shows a circle outside with a small solid triangle inside, so it is the right answer.
Shortcut Method
Rule: A → B swaps which shape is outside and which is the small inner shape → apply to C (triangle-out, circle-in) → circle-out, triangle-in
∴ Option 3 is correct ✓
∴ Option 3 is correct ✓
Question 5
Observe how figure (B) differs from figure (A). Select the answer figure that differs from figure (C) in exactly the same way.
Explanation
Two marks are added from A to B together: a small tick on top and a small dot at the bottom-right, with nothing else changed. Applying both additions to figure C (a plain square) gives a square with a tick on top and a dot at the bottom-right.
Option 1 simply repeats figure C unchanged, with neither mark added.
Option 3 correctly adds both the tick and the dot but also adds an extra, unwanted tick on the left side.
Option 4 adds only the top tick and leaves out the bottom-right dot.
Option 5 correctly adds both marks but changes the shape to a circle instead of keeping it a square.
Option 2 correctly shows the square with exactly the top tick and the bottom-right dot added, nothing more and nothing less, so it is the right answer.
Option 1 simply repeats figure C unchanged, with neither mark added.
Option 3 correctly adds both the tick and the dot but also adds an extra, unwanted tick on the left side.
Option 4 adds only the top tick and leaves out the bottom-right dot.
Option 5 correctly adds both marks but changes the shape to a circle instead of keeping it a square.
Option 2 correctly shows the square with exactly the top tick and the bottom-right dot added, nothing more and nothing less, so it is the right answer.
Shortcut Method
Rule: A → B adds a top tick AND a bottom-right dot together → apply both to C (square) → square with tick on top and dot at bottom-right, nothing extra
∴ Option 2 is correct ✓
∴ Option 2 is correct ✓
Question 6
Figure (B) is related to figure (A) by a certain transformation. Find the answer figure that is related to figure (C) by that same transformation.
Explanation
From A to B, the inner star stays exactly the same while only the outer shape changes (square becomes circle). Continuing figure C (star inside a triangle), the outer shape should change again while the star stays the same; the outer shape sequence square, circle, triangle continues to a pentagon.
Option 1 repeats the same triangle outline as figure C, with no change to the outer shape.
Option 2 reverts the outer shape back to a square instead of advancing it.
Option 3 uses a pentagon outline but replaces the inner star with a plain dot.
Option 4 uses a circle outline, repeating figure B's outer shape instead of advancing further.
Option 5 correctly keeps the star unchanged inside a new pentagon outer shape, so it is the right answer.
Option 1 repeats the same triangle outline as figure C, with no change to the outer shape.
Option 2 reverts the outer shape back to a square instead of advancing it.
Option 3 uses a pentagon outline but replaces the inner star with a plain dot.
Option 4 uses a circle outline, repeating figure B's outer shape instead of advancing further.
Option 5 correctly keeps the star unchanged inside a new pentagon outer shape, so it is the right answer.
Shortcut Method
Rule: inner star never changes, only the outer shape advances (square → circle → triangle → pentagon) → apply to C (triangle) → pentagon with same star inside
∴ Option 5 is correct ✓
∴ Option 5 is correct ✓
Question 7
There is a hidden rule connecting figure (A) to figure (B). Choose the answer figure that connects to figure (C) using the identical rule.
Explanation
Figure B replaces the solid black fill of figure A with diagonal line hatching, the outline unchanged. Applying the same rule to figure C (a solid black square) gives a square filled with diagonal hatching.
Option 2 keeps the shape a circle instead of changing it to a square.
Option 3 uses a dotted fill pattern instead of diagonal line hatching.
Option 4 leaves the square completely hollow instead of hatched.
Option 5 simply repeats figure C unchanged, still solid black.
Option 1 correctly shows the square filled with diagonal hatching, so it is the right answer.
Option 2 keeps the shape a circle instead of changing it to a square.
Option 3 uses a dotted fill pattern instead of diagonal line hatching.
Option 4 leaves the square completely hollow instead of hatched.
Option 5 simply repeats figure C unchanged, still solid black.
Option 1 correctly shows the square filled with diagonal hatching, so it is the right answer.
Shortcut Method
Rule: A → B replaces solid fill with diagonal hatching, outline unchanged → apply to C (solid square) → hatched square
∴ Option 1 is correct ✓
∴ Option 1 is correct ✓
Question 8
The change from figure (A) to figure (B) follows a set pattern. Select the answer figure that shows the same pattern of change applied to figure (C).
Explanation
Figure B is figure A mirrored left-to-right, with nothing else changed. Applying the same left-right mirror to figure C (an arrow pointing up-right) gives an arrow pointing up-left.
Option 1 simply repeats figure C unchanged, with no mirroring.
Option 2 rotates the arrow 180 degrees instead of mirroring it, pointing down-left.
Option 3 flips the arrow top-to-bottom instead of left-to-right, pointing down-right.
Option 5 shows a mirrored arrow that is noticeably shorter than the original, an inconsistent change in length.
Option 4 correctly shows the arrow mirrored left-to-right, pointing up-left at the same length, so it is the right answer.
Option 1 simply repeats figure C unchanged, with no mirroring.
Option 2 rotates the arrow 180 degrees instead of mirroring it, pointing down-left.
Option 3 flips the arrow top-to-bottom instead of left-to-right, pointing down-right.
Option 5 shows a mirrored arrow that is noticeably shorter than the original, an inconsistent change in length.
Option 4 correctly shows the arrow mirrored left-to-right, pointing up-left at the same length, so it is the right answer.
Shortcut Method
Rule: A → B is a left-right mirror flip → apply to C (up-right arrow) → up-left arrow
∴ Option 4 is correct ✓
∴ Option 4 is correct ✓
Question 9
Compare figure (A) with figure (B) to find their relationship. Then select the answer figure that has that same relationship with figure (C).
Explanation
Figure B has exactly double the number of spokes of figure A (2 spokes becomes 4 spokes). Applying the same doubling rule to figure C (3 spokes) gives 6 spokes.
Option 1 shows 5 spokes, not double the 3 spokes in C.
Option 3 shows 8 spokes, more than double.
Option 4 shows only 3 spokes, simply repeating figure C unchanged.
Option 5 shows 4 spokes, repeating figure B's count instead of doubling C.
Option 2 correctly shows exactly 6 spokes, double the count of figure C, so it is the right answer.
Option 1 shows 5 spokes, not double the 3 spokes in C.
Option 3 shows 8 spokes, more than double.
Option 4 shows only 3 spokes, simply repeating figure C unchanged.
Option 5 shows 4 spokes, repeating figure B's count instead of doubling C.
Option 2 correctly shows exactly 6 spokes, double the count of figure C, so it is the right answer.
Shortcut Method
Rule: A → B doubles the spoke count (2 → 4) → apply to C (3 spokes) → 6 spokes
∴ Option 2 is correct ✓
∴ Option 2 is correct ✓
Question 10
Figure (A) becomes figure (B) after one specific change. Choose the answer figure that results from applying the identical change to figure (C).
Explanation
Two changes happen from A to B together: the shape shrinks to exactly half its size, and its fill changes from hollow to diagonal hatching. Applying both changes to figure C (a large hollow hexagon) gives a half-size hatched hexagon.
Option 1 correctly applies the hatched fill but keeps the hexagon at full size, not shrinking it.
Option 2 correctly shrinks the hexagon to half size but leaves it hollow instead of hatching it.
Option 4 correctly shrinks the shape to half size and hatches it, but the shape is a square instead of a hexagon.
Option 5 correctly shrinks the hexagon to half size but fills it fully solid black instead of with diagonal hatching.
Option 3 correctly shows a half-size hexagon with diagonal hatching, applying both changes together, so it is the right answer.
Option 1 correctly applies the hatched fill but keeps the hexagon at full size, not shrinking it.
Option 2 correctly shrinks the hexagon to half size but leaves it hollow instead of hatching it.
Option 4 correctly shrinks the shape to half size and hatches it, but the shape is a square instead of a hexagon.
Option 5 correctly shrinks the hexagon to half size but fills it fully solid black instead of with diagonal hatching.
Option 3 correctly shows a half-size hexagon with diagonal hatching, applying both changes together, so it is the right answer.
Shortcut Method
Rule: A → B shrinks to half size AND hollow becomes hatched → apply both to C (large hexagon) → half-size hatched hexagon
∴ Option 3 is correct ✓
∴ Option 3 is correct ✓
Question 11
Note the way figure (A) is transformed into figure (B). Pick the answer figure obtained by transforming figure (C) in the same way.
Explanation
Figure B is figure A with exactly one corner cut off (replaced by a short diagonal edge), everything else unchanged. Applying the same rule to figure C (a plain pentagon) gives a pentagon with one corner cut off.
Option 1 simply repeats figure C unchanged, with no corner cut.
Option 2 keeps the shape a square instead of a pentagon.
Option 3 changes the shape to a hexagon instead of cutting a corner off the pentagon.
Option 4 correctly cuts one corner but also adds an unrelated dot near the top, an extra change beyond the established rule.
Option 5 correctly shows the pentagon with exactly one corner cut off and nothing else changed, so it is the right answer.
Option 1 simply repeats figure C unchanged, with no corner cut.
Option 2 keeps the shape a square instead of a pentagon.
Option 3 changes the shape to a hexagon instead of cutting a corner off the pentagon.
Option 4 correctly cuts one corner but also adds an unrelated dot near the top, an extra change beyond the established rule.
Option 5 correctly shows the pentagon with exactly one corner cut off and nothing else changed, so it is the right answer.
Shortcut Method
Rule: A → B cuts exactly one corner off the shape → apply to C (pentagon) → pentagon with one corner cut, no other change
∴ Option 5 is correct ✓
∴ Option 5 is correct ✓
Question 12
Two related changes turn figure (A) into figure (B). Select the answer figure produced when the same two changes are applied to figure (C).
Explanation
Two changes happen from A to B together: the arrow rotates 90 degrees clockwise (up becomes right), and a red dot is added at its tip. Applying both changes to figure C (a plain arrow pointing down) gives an arrow pointing left with a red dot at its tip.
Option 2 keeps the arrow pointing right and adds the dot, but does not apply the further rotation needed from C.
Option 3 rotates the arrow to point up and adds the dot, which is a 180-degree rotation from the correct direction rather than 90 degrees.
Option 4 correctly rotates the arrow to point left but leaves out the red dot entirely.
Option 5 rotates the arrow to a diagonal up-left direction with a dot, overshooting the correct 90-degree step.
Option 1 correctly shows the arrow pointing left with a red dot at its tip, applying both changes together, so it is the right answer.
Option 2 keeps the arrow pointing right and adds the dot, but does not apply the further rotation needed from C.
Option 3 rotates the arrow to point up and adds the dot, which is a 180-degree rotation from the correct direction rather than 90 degrees.
Option 4 correctly rotates the arrow to point left but leaves out the red dot entirely.
Option 5 rotates the arrow to a diagonal up-left direction with a dot, overshooting the correct 90-degree step.
Option 1 correctly shows the arrow pointing left with a red dot at its tip, applying both changes together, so it is the right answer.
Shortcut Method
Rule: A → B does two things at once -- rotate 90° clockwise AND add a dot at the tip → apply both to C (down arrow) → left arrow with dot
∴ Option 1 is correct ✓
∴ Option 1 is correct ✓
Question 13
A combination of changes links figure (A) to figure (B). Identify the answer figure linked to figure (C) by that same combination of changes.
Explanation
Two changes happen from A to B together: the count increases from one shape to two, and the fill toggles from solid black to hollow. Applying both changes to figure C (one solid black square) gives two hollow squares side by side.
Option 1 shows two squares but they remain solid black instead of toggling to hollow.
Option 2 correctly toggles to hollow but keeps the count at one square instead of two.
Option 3 correctly shows two hollow shapes but they are triangles, not squares, ignoring figure C's shape.
Option 5 shows three hollow squares, one more than the correct count of two.
Option 4 correctly shows exactly two hollow squares side by side, applying both changes together, so it is the right answer.
Option 1 shows two squares but they remain solid black instead of toggling to hollow.
Option 2 correctly toggles to hollow but keeps the count at one square instead of two.
Option 3 correctly shows two hollow shapes but they are triangles, not squares, ignoring figure C's shape.
Option 5 shows three hollow squares, one more than the correct count of two.
Option 4 correctly shows exactly two hollow squares side by side, applying both changes together, so it is the right answer.
Shortcut Method
Rule: A → B does two things at once -- count goes from one to two AND fill toggles solid-to-hollow → apply both to C (one solid square) → two hollow squares
∴ Option 4 is correct ✓
∴ Option 4 is correct ✓
Question 14
Figure (B) rearranges the elements of figure (A) in a fixed way. Choose the answer figure that rearranges the elements of figure (C) in the same fixed way.
Explanation
Figure B swaps the left and right positions of the two elements in figure A, with the elements themselves unchanged. Applying the same left-right swap to figure C (triangle on the left, circle on the right) gives the circle on the left and the triangle on the right.
Option 1 simply repeats figure C unchanged, with no positions swapped.
Option 3 keeps the circle on the right but replaces the triangle with a star, changing the elements instead of just swapping them.
Option 4 swaps the elements' vertical arrangement (circle above, triangle below) rather than swapping left and right.
Option 5 correctly places the circle on the left but replaces the triangle with a dot on the right, an unrelated element change.
Option 2 correctly shows the circle on the left and the triangle on the right, the same two elements simply swapped, so it is the right answer.
Option 1 simply repeats figure C unchanged, with no positions swapped.
Option 3 keeps the circle on the right but replaces the triangle with a star, changing the elements instead of just swapping them.
Option 4 swaps the elements' vertical arrangement (circle above, triangle below) rather than swapping left and right.
Option 5 correctly places the circle on the left but replaces the triangle with a dot on the right, an unrelated element change.
Option 2 correctly shows the circle on the left and the triangle on the right, the same two elements simply swapped, so it is the right answer.
Shortcut Method
Rule: A → B swaps the left and right elements, elements unchanged → apply to C (triangle-left, circle-right) → circle-left, triangle-right
∴ Option 2 is correct ✓
∴ Option 2 is correct ✓
Question 15
Figure (A) relates to figure (B) through a single defined change. Select the answer figure that relates to figure (C) through the identical change.
Explanation
Figure B has one fewer dot than figure A (4 dots becomes 3 dots), the shape itself unchanged. Applying the same "count decreases by 1" rule to figure C (5 stars) gives 4 stars.
Option 1 simply repeats figure C unchanged, with no decrease in count.
Option 2 changes the shape to dots instead of keeping it stars.
Option 3 shows 3 stars, two fewer than C rather than one fewer.
Option 4 shows 4 stars but with an extra small dot beneath them, an unrelated addition rather than a clean count decrease.
Option 5 correctly shows exactly 4 stars with nothing else added, one fewer than C, so it is the right answer.
Option 1 simply repeats figure C unchanged, with no decrease in count.
Option 2 changes the shape to dots instead of keeping it stars.
Option 3 shows 3 stars, two fewer than C rather than one fewer.
Option 4 shows 4 stars but with an extra small dot beneath them, an unrelated addition rather than a clean count decrease.
Option 5 correctly shows exactly 4 stars with nothing else added, one fewer than C, so it is the right answer.
Shortcut Method
Rule: A → B removes one item from the row → apply to C (5 stars) → 4 stars
∴ Option 5 is correct ✓
∴ Option 5 is correct ✓