Figure Puzzles Aptitude MCQ Questions with Answers Set 01

Answer: (c) Figure (c)

Explanation:
1. In figure (X) the dot lies in the region common to the circle and the triangle only (outside the square).
2. Figure (c) has a part of the circle that overlaps the triangle but lies outside the square.
3. No other option has such a region, so the answer is (c).

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (a) Figure (a)

Explanation:
1. One dot lies in the region common to the circle and the triangle only; the other lies in the region common to the triangle and the square only.
2. Figure (a) has both regions: circle and triangle overlapping outside the rectangle, and triangle and rectangle overlapping outside the circle.
3. Hence figure (a) allows both dots to be placed in the same way.

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (b) Figure (b)

Explanation:
1. The question figure is a bow-tie shape: two vertical sides joined by two V-shaped lines at the top and bottom.
2. In figure (b) the two vertical sides and the two V lines appear together in the same orientation.
3. So the question figure is embedded in figure (b).

Teacher's Note:
1. The hidden figure must appear in the same orientation; trace its longest line first, then check the smaller parts one by one.
2. Extra lines crossing the hidden figure are allowed, but every line of the question figure must be present in the answer.

Answer: (b) Figure (b)

Explanation:
1. The question figure has a left vertical line, a zig-zag top and a right vertical line that turns right at the bottom.
2. In figure (b) the zig-zag top, both vertical lines and the small foot at the bottom right can all be traced.
3. Hence the figure is embedded in (b).

Teacher's Note:
1. The hidden figure must appear in the same orientation; trace its longest line first, then check the smaller parts one by one.
2. Extra lines crossing the hidden figure are allowed, but every line of the question figure must be present in the answer.

Answer: (d) Figure (d)

Explanation:
1. The circle and the square-in-diamond design must continue into the bottom-right quarter.
2. The S-shaped curl in the other quarters faces the same way as in figure (d).
3. Figure (d) completes the circle arc and the inner square lines, so it fits the blank.

Teacher's Note:
1. Look for symmetry: the missing part is usually the mirror image or rotation of the quarter opposite or beside it.
2. Mentally place each option in the blank and check that every line meets the lines of the neighbouring parts.

Answer: (c) Figure (c)

Explanation:
1. Each filled quarter shows a cross made of double lines with small triangles at the sides.
2. The blank quarter must show the same double-line cross pattern.
3. Figure (c) has this double-line cross, so it completes the pattern.

Teacher's Note:
1. Look for symmetry: the missing part is usually the mirror image or rotation of the quarter opposite or beside it.
2. Mentally place each option in the blank and check that every line meets the lines of the neighbouring parts.

Answer: (a) Figure (a)

Explanation:
1. The pieces are a small right triangle, a pentagon with a slanting edge and a quadrilateral with a cut corner.
2. In figure (a) the square is divided by a horizontal line, a slanting line and a short diagonal into exactly these three shapes.
3. So figure (a) can be formed from the given pieces.

Teacher's Note:
1. Match the most distinctive piece (an odd angle, a step or a notch) first; this quickly removes options that do not contain its outline.
2. Pieces may be turned around, but their shapes and relative sizes cannot change, and no piece may be left over or overlap.

Answer: (b) Figure (b)

Explanation:
1. The pieces are a three-quarter circle, a thin triangle, a small rounded piece and a right triangle.
2. Figure (b) is a circle divided by a vertical line and a slanting line into pieces of exactly these shapes.
3. Hence figure (b) is formed by joining the pieces.

Teacher's Note:
1. Match the most distinctive piece (an odd angle, a step or a notch) first; this quickly removes options that do not contain its outline.
2. Pieces may be turned around, but their shapes and relative sizes cannot change, and no piece may be left over or overlap.

Answer: (d) Figure (d)

Explanation:
1. One dot lies in the region common to the circle, the square and the triangle.
2. The other dot lies in the region common to the square and the triangle only, outside the circle.
3. Figure (d) has both these regions, so the answer is (d).

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (d) Figure (d)

Explanation:
1. The dots lie in (i) the circle and square only, (ii) the region common to all four shapes, and (iii) the circle and rectangle only.
2. Figure (d) has a region common to the circle, square, triangle and rectangle, as well as the other two regions.
3. So all three dots can be placed only in figure (d).

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (a) Figure (a)

Explanation:
1. The three dots lie in (i) the circle only, (ii) the circle, square and triangle together, and (iii) the circle and square only.
2. In figure (a) the triangle cuts across the overlap of the circle and the square, giving all three regions.
3. Hence figure (a) is the answer.

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (a) Figure (a)

Explanation:
1. The dots lie in the square and triangle region, in the region of the circle, triangle and square, and in the rectangle and triangle region.
2. Figure (a) has the triangle overlapping the square, the circle and the rectangle in the required ways.
3. So figure (a) satisfies all the dot conditions.

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (d) Figure (d)

Explanation:
1. One dot lies in the rectangle only, one in the region common to the circle and the rectangle only, and one in the region common to the circle, the rectangle and the square.
2. In figure (d) the circle overlaps both the square and the tall rectangle, and part of the rectangle lies outside the circle.
3. All three regions exist only in figure (d).

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (b) Figure (b)

Explanation:
1. The dot lies in the region common to the rectangle and the square only, outside the circle.
2. In figure (b) the square and the tall rectangle overlap in a region that the circle does not reach.
3. Hence figure (b) is the answer.

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (a) Figure (a)

Explanation:
1. One dot lies in the region common to the circle and the triangle only; the other lies in the region common to the circle and the rectangle only.
2. In figure (a) the circle overlaps the rectangle at the top and the triangle at the bottom, and the rectangle and triangle do not meet.
3. So both regions are present in figure (a).

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (b) Figure (b)

Explanation:
1. The dot lies in the region common to all four shapes: the square, the circle, the triangle and the rectangle.
2. Only in figure (b) do all four shapes overlap in one common region.
3. Hence the answer is (b).

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (c) Figure (c)

Explanation:
1. The dots lie in (i) the triangle and square only, (ii) the square and circle only, and (iii) the triangle only.
2. In figure (c) the triangle overlaps the square, the square overlaps the circle, and part of the triangle is free of both.
3. So figure (c) satisfies all the conditions.

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (a) Figure (a)

Explanation:
1. The dots lie in (i) the square only, (ii) the region common to the circle and the triangle, and (iii) the triangle only.
2. In figure (a) the square stands apart at the top, the triangle overlaps the circle, and part of the triangle is outside the circle.
3. Hence figure (a) is the answer.

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (d) Figure (d)

Explanation:
1. The dots lie in (i) the circle and rectangle only, (ii) the circle, square and rectangle, and (iii) the circle, square and triangle.
2. In figure (d) the circle overlaps the tilted rectangle and the square, and the triangle overlaps the square inside the circle.
3. All three regions are found only in figure (d).

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (b) Figure (b)

Explanation:
1. One dot lies in the region common to the circle and the square only; the other lies in the region common to the circle, the triangle and the rectangle.
2. Figure (b) has the circle overlapping the square, and also a region where the circle, triangle and rectangle meet.
3. Hence figure (b) is the answer.

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (c) Figure (c)

Explanation:
1. The dots lie in (i) the circle and square only, (ii) the square and triangle only, and (iii) the triangle only.
2. In figure (c) the circle and square overlap outside the triangle, the triangle enters the square outside the circle, and the top of the triangle stands alone.
3. So figure (c) satisfies all three conditions.

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (d) Figure (d)

Explanation:
1. One dot lies in the region common to the rectangle and the circle only; the other lies in the region common to the circle, the triangle and the square.
2. Figure (d) has both these regions.
3. Hence the answer is (d).

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (a) Figure (a)

Explanation:
1. The dots lie in (i) the triangle only, (ii) the region common to the triangle, rectangle, square and circle, and (iii) the circle only.
2. In figure (a) the triangle, square, rectangle and circle share a common region, and parts of the triangle and the circle lie free.
3. So figure (a) is the answer.

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (b) Figure (b)

Explanation:
1. The dots lie in (i) the circle and triangle only, (ii) the circle and the left rectangle only, and (iii) the circle and the right square only.
2. In figure (b) the circle overlaps the square, the tall rectangle and the triangle separately.
3. Hence figure (b) is the answer.

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (c) Figure (c)

Explanation:
1. The dots lie in (i) the rectangle, circle and triangle together, (ii) the region common to all four shapes, and (iii) the rectangle only.
2. Figure (c) has a region common to all four shapes, a region of the rectangle, circle and triangle outside the square, and a part of the rectangle outside every other shape.
3. So the answer is (c).

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (a) Figure (a)

Explanation:
1. The dots lie in (i) the circle and square only, (ii) the circle, square and rectangle together, and (iii) the square, rectangle and triangle together.
2. Figure (a) has all three of these regions.
3. Hence the answer is (a).

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (d) Figure (d)

Explanation:
1. One dot lies in the tilted rectangle only, outside the circle.
2. The other two dots lie inside the circle, in regions formed by the square, the triangle and the rectangle.
3. Figure (d) is the only option that provides a rectangle-only part together with both of these regions inside the circle.

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (a) Figure (a)

Explanation:
1. The dots lie in (i) the rectangle, circle and triangle together, (ii) the circle and triangle only, and (iii) the circle only.
2. In figure (a) the triangle crosses the circle and the rectangle, leaving parts of the circle and of the circle-triangle overlap outside the rectangle.
3. Hence figure (a) is the answer.

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (c) Figure (c)

Explanation:
1. The dots lie in (i) the rectangle, triangle and square together, (ii) the rectangle and triangle only, and (iii) the rectangle only.
2. In figure (c) the triangle overlaps both the small rectangle and the large square, and part of the rectangle lies outside the square.
3. So all three regions exist in figure (c).

Teacher's Note:
1. For each dot, first name exactly which shapes enclose it (for example 'circle and square only'), then look for that same region in each option.
2. Eliminate options as soon as one dot's region is missing; the correct option must provide a place for every dot at the same time.

Answer: (b) Figure (b)

Explanation:
1. The left half shows chevrons pointing left; the bottom-right quarter shows lines slanting like '/'.
2. The figure is symmetric about the horizontal middle line, so the top-right quarter must show the mirror image: lines slanting like '\'.
3. Figure (b) has two '\' lines in the right positions.

Teacher's Note:
1. Look for symmetry: the missing part is usually the mirror image or rotation of the quarter opposite or beside it.
2. Mentally place each option in the blank and check that every line meets the lines of the neighbouring parts.

Answer: (d) Figure (d)

Explanation:
1. The two ellipses lie along the diagonals and the pattern is symmetric about both diagonals.
2. The bottom-right quarter must therefore contain the long half of the ellipse on the '\' diagonal, just like the top-left quarter.
3. Figure (d) shows this ellipse half on the diagonal.

Teacher's Note:
1. Look for symmetry: the missing part is usually the mirror image or rotation of the quarter opposite or beside it.
2. Mentally place each option in the blank and check that every line meets the lines of the neighbouring parts.

Answer: (d) Figure (d)

Explanation:
1. The top-right quarter must match the bottom-left quarter turned about the centre.
2. So it needs hatching in the opposite direction, a black triangle and a small circle.
3. Figure (d) has all these features.

Teacher's Note:
1. Look for symmetry: the missing part is usually the mirror image or rotation of the quarter opposite or beside it.
2. Mentally place each option in the blank and check that every line meets the lines of the neighbouring parts.

Answer: (a) Figure (a)

Explanation:
1. The lines of the other three quarters form nested diamonds around the centre.
2. The top-left quarter must carry two '/' lines of the diamonds and the small corner triangle near the centre.
3. Figure (a) supplies exactly these lines.

Teacher's Note:
1. Look for symmetry: the missing part is usually the mirror image or rotation of the quarter opposite or beside it.
2. Mentally place each option in the blank and check that every line meets the lines of the neighbouring parts.

Answer: (c) Figure (c)

Explanation:
1. The top-left and bottom-right quarters have '/' lines; the top-right quarter has '\' lines.
2. Diagonally opposite quarters match, so the bottom-left quarter must match the top-right one with '\' lines.
3. Figure (c) has the two '\' lines on the dotted grid.

Teacher's Note:
1. Look for symmetry: the missing part is usually the mirror image or rotation of the quarter opposite or beside it.
2. Mentally place each option in the blank and check that every line meets the lines of the neighbouring parts.

Answer: (a) Figure (a)

Explanation:
1. The concentric circles must continue as arcs curving around the bottom-right corner.
2. The small inner square design near the centre must also appear in the top-left corner of the blank.
3. Figure (a) has both the arcs and the square-with-diagonal near the centre.

Teacher's Note:
1. Look for symmetry: the missing part is usually the mirror image or rotation of the quarter opposite or beside it.
2. Mentally place each option in the blank and check that every line meets the lines of the neighbouring parts.

Answer: (a) Figure (a)

Explanation:
1. The figure is symmetric about the vertical middle line: the top-left quarter is the mirror image of the top-right quarter.
2. So the bottom-left quarter must be the mirror image of the bottom-right quarter: an 'A' shape with two crossbars running to the right edge.
3. Figure (a) is this mirror image.

Teacher's Note:
1. Look for symmetry: the missing part is usually the mirror image or rotation of the quarter opposite or beside it.
2. Mentally place each option in the blank and check that every line meets the lines of the neighbouring parts.