Abstract Reasoning

Abstract reasoning is an essential skill for analyzing concepts, ideas, and patterns that are not based on concrete data or information. Instead of focusing on specific examples or facts, abstract reasoning involves understanding and identifying relationships and structures of ideas related to patterns, sequences, or logical reasoning.

In exams like the PLMAT, abstract reasoning is tested through questions that present patterns, logical relationships, and ideas that are not immediately obvious. These questions often involve shapes, symbols, or sequences of numbers or words, and you need to identify the patterns or relationships to determine the correct answer.

Aspects of Abstract Reasoning

  1. Pattern Recognition

    • Refers to the ability to spot patterns or sequences from previous information. This pattern may take the form of numbers, shapes, or other visual elements.

    • Example:

      • If the sequence is 2, 4, 6, 8, what is the next number?

      • Answer: 10, as the pattern increases by 2 each time.

  2. Logical Sequences

    • Logical sequences refer to series of numbers or symbols that follow a specific logical order. You need to explore the relationship between the elements.

    • Example:

      • 1, 4, 9, 16, ?

      • Answer: 25, as the pattern follows square numbers (1^2, 2^2, 3^2, 4^2).

  3. Visual Analogies

    • A visual analogy is a form of abstract reasoning involving pictures or geometric figures, connecting them through a logical pattern or difference. You need to understand how images relate and identify the next image or shape.

    • Example: If the first image is a circle, and the second image is a square, what would be the next figure?

      • Answer: Triangle (as the shapes follow a geometric sequence).

  4. Analogical Reasoning

    • In analogical reasoning, the goal is to identify similarities between two things and use them to provide the correct answer. The elements may share a particular aspect, so you must use logical relationships to solve the problem.

    • Example:

      • A: B = C: ?

      • If A is a color and B is an object that has that color, and C is a color, what item would be associated with color C?

      • Answer: D, if this maintains the analogy.

  5. Mathematical Reasoning

    • Abstract reasoning can also include questions related to numbers or mathematical concepts like series, ratios, and proportions. You need to identify the logical connections and apply them to get the correct answer.

    • Example:

      • If the ratio of apples to oranges is 3:5, and there are 15 apples, how many oranges are there?

      • Answer: 25 oranges, as the ratio is 3:5.

  6. Critical Thinking

    • Critical thinking is an aspect of abstract reasoning that focuses on analyzing ideas and decisions. Here, the focus is not just on the pattern but also on the reasoning behind the decisions.

    • Example:

      • If someone presents two arguments that are both correct, how do you determine which is more just or logical?

      • Answer: By analyzing the possible implications and understanding the details of the argument to identify the best solution.

Example Abstract Reasoning Questions

  1. Pattern Recognition:

    • Which of the following numbers does not fit the pattern: 2, 4, 6, 8, 12, 14?

    • A) 8

    • B) 6

    • C) 12

    • D) 14
      Answer: C) 12, as the pattern involves pairs of numbers.

  2. Logical Sequences:

    • What is the next number in the sequence: 3, 6, 9, 12, ?

    • A) 14

    • B) 15

    • C) 16

    • D) 18
      Answer: B) 15, as the numbers increase by 3.

  3. Visual Analogies:

    • What is the next image? (The shapes shown are: circle, square, and triangle.)

    • A) Diamond

    • B) Rectangle

    • C) Circle

    • D) Hexagon
      Answer: A) Diamond, as the shapes are following a pattern of increasing sides.

  4. Analogical Reasoning:

    • A: B is to C: ?

    • A) Always correct

    • B) Not correct

    • C) Clear

    • D) Complex
      Answer: C) Clear, based on the logical relationship in the analogy.

  5. Mathematical Reasoning:

    • If 5x = 45, what is the value of x?

    • A) 10

    • B) 5

    • C) 9

    • D) 20
      Answer: C) 9, because 5x = 45, so x = 45 ÷ 5 = 9.

Techniques to Improve Abstract Reasoning

  1. Practice Regularly

    • Regular practice using sample problems or quizzes related to abstract reasoning will help you develop the skill. As you continue practicing, you will become faster and more accurate.

  2. Look for Patterns

    • Focus on identifying patterns in each question. Often, the solution to abstract reasoning problems lies in recognizing patterns that persist through the successive parts of the problem.

  3. Focus on Logical Connections

    • Deepen your skill in identifying logical connections between ideas. This may require careful analysis of each detail of a problem.

  4. Use Visualization

    • Visualize or draw patterns and sequences to make their relationships easier to understand. This is especially helpful for visual reasoning problems.

In abstract reasoning, the goal is not only to recognize patterns but also to develop the thinking processes that will allow you to solve complex problems. Regular practice and analysis will help you become more skilled at understanding and solving these types of problems.