MCQ
Reasoning: Figure Reasoning MCQ - Practice Questions with Answers
Solve 25 Reasoning: Figure Reasoning questions for RAS/RPSC preparation.
Practice questions
Q1A figure series is shown as: triangle, square, pentagon, hexagon. Which statement about the next figure is correct?
The series is based on the number of sides. A triangle has 3 sides, a square has 4 sides, a pentagon has 5 sides and a hexagon has 6 sides. The number of sides increases by exactly 1 at each step. So the next figure must have 7 sides, that is, it will be a heptagon. Among the given statements, only the statement saying seven sides is correct.
Q2In a figure series, the black dot and the arrow move together as follows: box 1 has a dot at the top-left corner and an upward arrow; box 2 has a dot at the top-right corner and a rightward arrow; box 3 has a dot at the bottom-right corner and a downward arrow; box 4 has a dot at the bottom-left corner and a leftward arrow. Which description fits box 5?
The dot moves one corner at a time in a clockwise order: top-left, top-right, bottom-right, bottom-left. After four boxes, it returns to the top-left corner. The arrow follows the same four-step rotation: upward, rightward, downward, leftward, and then upward again. Since both features complete their cycle in box 4, box 5 begins the same cycle again. Therefore the next figure has the dot at the top-left corner and the arrow pointing upward.
Q3In a triangle ABC, points D and E lie on BC in the order B-D-E-C. The straight lines AD and AE are drawn. How many triangles are present in the complete figure?
All triangles must have A as their top vertex because the only drawn slanting lines go from A to points on BC. On the base line BC, the usable endpoints are B, D, E and C. Any two of these four endpoints can form the base of one triangle with A: BD, BE, BC, DE, DC and EC. That gives 6 distinct triangles. No triangle can be formed without A, because the remaining drawn points lie on one straight line.
Q4In a figure series, the first four figures have 3, 4, 5 and 6 sides respectively. The number written inside each figure is 6, 12, 20 and 30 respectively. Which statement is incorrect?
The side counts are increasing by one: 3, 4, 5 and 6, so the next figure should have 7 sides. Now check the inside numbers against the sides. For 3 sides, 3×2 = 6; for 4 sides, 4×3 = 12; for 5 sides, 5×4 = 20; for 6 sides, 6×5 = 30. The rule is sides multiplied by one less than the sides. For 7 sides, the number should be 7×6 = 42. Therefore the statement saying the next number is 40 is the incorrect one.
Q5In a figure series, each figure is a square. The shaded corner and the number of short bars inside the square are as follows: 1st figure - top-left corner shaded, 1 bar; 2nd figure - top-right corner shaded, 2 bars; 3rd figure - bottom-right corner shaded, 1 bar; 4th figure - bottom-left corner shaded, 2 bars. Assertion: The 5th figure will have the top-left corner shaded and 1 bar. Reason: The shaded corner moves clockwise, and the bars repeat as 1, 2, 1, 2, ...
The shaded corner moves one step clockwise in each figure: top-left, top-right, bottom-right, bottom-left, and then back to top-left. The number of short bars alternates as 1, 2, 1, 2, so the fifth figure again has 1 bar. Therefore the assertion that the fifth figure has the top-left corner shaded and 1 bar is true. The stated reason gives exactly the two rules used to reach that figure, so it also explains the assertion.
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More questions
6In triangle ABC, three points B, D, E and C lie on the same straight base in this order. The segments AB, AD, AE and AC are drawn from A to the base. How many triangles are present in the figure?
7Assertion (A): In the series ↑, →, ↓, ←, ?, the missing arrow is ↑. Reason (R): Each arrow turns 90 degrees clockwise from the previous arrow. Choose the correct option.
8A figure series follows this pattern: triangle with a dot at the top, square with a dot at the right, pentagon with a dot at the lower right, hexagon with a dot at the bottom. Which figure should come next?
9A 3 by 3 grid is made of 9 equal small squares. Which statement about the total number of squares in the complete grid is correct?
10In triangle ABC, two line segments AD and AE are drawn from vertex A to the base BC. Points D and E lie on BC in the order B-D-E-C. How many triangles are formed in the complete figure?
11Match each described figure with the correct count. List I: 1. A 2 by 2 square grid; count all squares. 2. A rectangle divided into 3 equal columns by 2 vertical lines; count all rectangles. 3. A 3 by 3 square grid; count all squares. List II: P. 5, Q. 6, R. 14. Which matching is correct?
12Match each square grid with the total number of squares of all sizes in it. I: a 2 × 2 square grid; II: a 1 × 4 strip of equal squares; III: a 3 × 3 square grid.
13Match each described figure with the correct number of figures counted in it. Figure 1: a triangle with one line drawn from the top vertex to a point on the base. Figure 2: a square divided into 4 equal small squares by one vertical and one horizontal line. Figure 3: a rectangle divided into 3 equal boxes in one row. Which matching is correct?
14On a straight line, 5 points A, B, C, D and E are marked in this order. Consider the statements: 1. The total number of line segments that can be named using any two marked points is 10. 2. The number of line segments having A as one endpoint is 4. 3. If only adjacent marked points are joined, 5 small segments are obtained. Which statements are correct?
15A figure series follows this pattern: triangle with 1 dot, square with 2 dots, pentagon with 3 dots, hexagon with 4 dots. Which statement is incorrect?