NMMSE 2024 MAT Questions 56–70
Detailed Solutions – Figure Completion & Water Image
NMMSE 2024 Mental Ability Test:
Questions 56–66 are figure-completion problems. The missing
portion has to be selected by examining continuity, symmetry,
rotation and direction of the lines. Questions 67–70 test the
concept of a water image, where the figure is reflected
vertically across the horizontal water line XY.
Questions 56–66: Figure Completion
Question 56
Question Figure – 56
Select the figure which completes the pattern.
Solution:
The missing lower-left section must continue every line that enters the blank region from the neighbouring sections.
We therefore compare the endpoints of the diagonal lines on the upper boundary and the right-hand boundary of the missing square.
The required piece must preserve the same intersection pattern and make every line meet its corresponding continuation.
The missing lower-left section must continue every line that enters the blank region from the neighbouring sections.
We therefore compare the endpoints of the diagonal lines on the upper boundary and the right-hand boundary of the missing square.
The required piece must preserve the same intersection pattern and make every line meet its corresponding continuation.
The line endpoints and intersection points match completely
only with option D.
Hence the missing part is option D.
Answer: (D)
Question 57
Question Figure – 57
Select the figure which completes the pattern.
Solution:
The figure is divided into four equal parts. The line pattern in the missing lower-right quadrant has to continue the diagonals coming from the central figure.
In particular, the diagonal entering the missing section must meet the corresponding boundary point, while the remaining short line must preserve the shape formed by the neighbouring three quadrants.
The figure is divided into four equal parts. The line pattern in the missing lower-right quadrant has to continue the diagonals coming from the central figure.
In particular, the diagonal entering the missing section must meet the corresponding boundary point, while the remaining short line must preserve the shape formed by the neighbouring three quadrants.
Option C provides the required continuation
without creating an extra or broken line.
Answer: (C)
Question 58
Question Figure – 58
Select the figure which completes the pattern.
Solution:
Trace each diagonal line from the existing three sections. The missing section must continue the diagonals at exactly the same boundary points.
The internal lines also have to maintain the same direction as the corresponding lines in the other three sections.
Trace each diagonal line from the existing three sections. The missing section must continue the diagonals at exactly the same boundary points.
The internal lines also have to maintain the same direction as the corresponding lines in the other three sections.
Only option B completes all the line
continuations correctly.
Answer: (B)
Question 59
Question Figure – 59
Select the figure which completes the pattern.
Solution:
The left column contains triangles. The number of triangles increases by one when we move from the upper cell to the lower cell.
The same progression is followed by the diamonds in the right column.
Therefore the missing cell must contain the next number of diamonds.
The left column contains triangles. The number of triangles increases by one when we move from the upper cell to the lower cell.
The same progression is followed by the diamonds in the right column.
Therefore the missing cell must contain the next number of diamonds.
The required arrangement is the one shown in option
D.
Answer: (D)
Question 60
Question Figure – 60
Select the figure which completes the pattern.
Solution:
The curved lines form a continuous symmetrical design around the centre.
The missing quadrant must therefore continue the curved arc and the diagonal line entering it from the neighbouring quadrants.
The curved lines form a continuous symmetrical design around the centre.
The missing quadrant must therefore continue the curved arc and the diagonal line entering it from the neighbouring quadrants.
Option C gives the correct continuation of
both curves.
Answer: (C)
Question 61
Question Figure – 61
Select the puzzle piece which completes the figure.
Solution:
Treat the missing part like a jigsaw puzzle. The projections and recesses along its edges must match the neighbouring pieces.
The required piece has the correct combination of the upper, lower and right-side connections.
Treat the missing part like a jigsaw puzzle. The projections and recesses along its edges must match the neighbouring pieces.
The required piece has the correct combination of the upper, lower and right-side connections.
Option B fits all the adjoining edges.
Answer: (B)
Question 62
Question Figure – 62
Select the figure which completes the pattern.
Solution:
Follow the diagonal lines along the borders of the missing section. Each line has to continue in the same direction without interruption.
The horizontal and diagonal segments together determine the orientation of the missing piece.
Follow the diagonal lines along the borders of the missing section. Each line has to continue in the same direction without interruption.
The horizontal and diagonal segments together determine the orientation of the missing piece.
Option A satisfies all the required
continuations.
Answer: (A)
Question 63
Question Figure – 63
Select the figure which completes the pattern.
Solution:
The missing upper-right section has to continue the diagonal line entering from the central portion.
The vertical and horizontal divisions must also line up with the existing grid.
The missing upper-right section has to continue the diagonal line entering from the central portion.
The vertical and horizontal divisions must also line up with the existing grid.
Option B provides the required line
continuity.
Answer: (B)
Question 64
Question Figure – 64
Select the figure which completes the pattern.
Solution:
The three completed quadrants show a fixed arrangement of three elements:
• one black block,
• one dot,
• one corner mark.
Their positions follow the same rotational progression around the large square.
The three completed quadrants show a fixed arrangement of three elements:
• one black block,
• one dot,
• one corner mark.
Their positions follow the same rotational progression around the large square.
The missing quadrant must therefore contain the black block
in the upper-left part, the dot in the lower-right part and
the corresponding corner mark.
This is option D.
Answer: (D)
Question 65
Question Figure – 65
Select the figure which completes the pattern.
Solution:
The arrows form a rotational pattern in the four quadrants.
The upper-left, upper-right and lower-left groups establish both the direction and orientation of the arrowheads.
Therefore the lower-right group must be the corresponding fourth rotation.
The arrows form a rotational pattern in the four quadrants.
The upper-left, upper-right and lower-left groups establish both the direction and orientation of the arrowheads.
Therefore the lower-right group must be the corresponding fourth rotation.
Option A has the correct direction and
orientation of all arrows.
Answer: (A)
Question 66
Question Figure – 66
Select the figure which completes the pattern.
Solution:
The large figure consists of four curved petal-like sections meeting at the centre.
The missing lower-right section must continue the curve coming from the centre and the diagonal boundary line.
When the neighbouring curves are extended, they form the same petal structure only with option A.
The large figure consists of four curved petal-like sections meeting at the centre.
The missing lower-right section must continue the curve coming from the centre and the diagonal boundary line.
When the neighbouring curves are extended, they form the same petal structure only with option A.
Answer: (A)
Questions 67–70: Water Image
Water Image Rule:
In a water-image problem, the reflecting line is horizontal. Therefore:
• Top becomes bottom.
• Bottom becomes top.
• Left and right positions remain unchanged.
• A smile becomes a frown and vice versa.
• Vertical left-right relationships are not interchanged.
In a water-image problem, the reflecting line is horizontal. Therefore:
• Top becomes bottom.
• Bottom becomes top.
• Left and right positions remain unchanged.
• A smile becomes a frown and vice versa.
• Vertical left-right relationships are not interchanged.
Question 67
Question Figure – 67
Choose the correct water image of the given face.
Solution:
The water line is horizontal.
Therefore the smile moves from the lower part of the face to the upper part and becomes a downward-facing curve.
The eyes move vertically downward, but their left-right orientation remains unchanged.
The water line is horizontal.
Therefore the smile moves from the lower part of the face to the upper part and becomes a downward-facing curve.
The eyes move vertically downward, but their left-right orientation remains unchanged.
This gives the face shown in option C.
Answer: (C)
Question 68
Question Figure – 68
Choose the correct water image of the given figure.
Solution:
Reflect the four sections vertically.
The star in the upper-left moves to the lower-left.
The circle in the upper-right moves to the lower-right.
The hash symbol in the lower-left moves to the upper-left.
The diagonal lines in the lower-right move to the upper-right.
Reflect the four sections vertically.
The star in the upper-left moves to the lower-left.
The circle in the upper-right moves to the lower-right.
The hash symbol in the lower-left moves to the upper-left.
The diagonal lines in the lower-right move to the upper-right.
This arrangement is exactly option D.
Answer: (D)
Question 69
Question Figure – 69
Choose the correct water image.
Solution:
The water image is obtained by turning the figure upside down across the horizontal XY line.
The triangular figure changes its vertical orientation. The small striped rectangle, originally above the triangle, moves below it.
The left-right positions do not change.
The water image is obtained by turning the figure upside down across the horizontal XY line.
The triangular figure changes its vertical orientation. The small striped rectangle, originally above the triangle, moves below it.
The left-right positions do not change.
Therefore the correct water image is option C.
Answer: (C)
Question 70
Question Figure – 70
Choose the correct water image of the given figure.
Solution:
Reflect the complete figure vertically across the horizontal water line.
Step 1: The inverted outer triangle becomes an upright triangle.
Step 2: The circle originally at the upper-left moves to the lower-left.
Step 3: The square originally at the upper-right moves to the lower-right.
Step 4: The central trapezoid is vertically inverted.
Reflect the complete figure vertically across the horizontal water line.
Step 1: The inverted outer triangle becomes an upright triangle.
Step 2: The circle originally at the upper-left moves to the lower-left.
Step 3: The square originally at the upper-right moves to the lower-right.
Step 4: The central trapezoid is vertically inverted.
The only option satisfying all four conditions is
option C.
Answer: (C)
Final Answer Key – Questions 56–70
| Question | Answer | Question | Answer |
|---|---|---|---|
| 56 | D | 63 | B |
| 57 | C | 64 | D |
| 58 | B | 65 | A |
| 59 | D | 66 | A |
| 60 | C | 67 | C |
| 61 | B | 68 | D |
| 62 | A | 69 | C |
| 70 | C | — | — |
Quick Revision Tips:
For Figure Completion: First examine the lines touching the boundaries of the missing section. The correct option must continue those lines without interruption. Then check symmetry, rotation and intersection points.
For Water Image: Remember that the reflection is across a horizontal line. Therefore top becomes bottom, while left remains left and right remains right.
These principles are especially useful for solving Questions 56–70 quickly in an NMMSE Mental Ability Test.
For Figure Completion: First examine the lines touching the boundaries of the missing section. The correct option must continue those lines without interruption. Then check symmetry, rotation and intersection points.
For Water Image: Remember that the reflection is across a horizontal line. Therefore top becomes bottom, while left remains left and right remains right.
These principles are especially useful for solving Questions 56–70 quickly in an NMMSE Mental Ability Test.
