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Symbol and Operations in Logical Reasoning

Questions based on symbols appear frequently in various competitive exams. Learn the different kind of relationships between any two numbers and the ways to handle the questions in the most effective way!

This is probably one of the easiest and the most scoring area in the Logical reasoning section of any aptitude-based test. Normally, questions from symbols and operations are asked in sets of 3 - 5 questions. So you can fetch easy marks in a short span of time. Lately, this topic is gaining importance as a large number of questions in Logical Reasoning section came from it.

Basic Concepts in Logical Reasoning Symboperation
    For better understanding of this topic, some basic concepts have been explained below:
  • If A = 50 and B = 60, then, is A > B? - of course not.
  • If A = (50, 60) and B = (40, 50), then, is A ≤ B? - This is true, since, A is equal to B when both are 50, else A will always be greater than B.
  • If A = 30 and B = 80, then, is A < B? - Of course yes.
  • If A = (50, 60) and B = (40, 50), then, is A ≥ B? - This is false, as A is equal to B when both are 50, but A > B for all other values. Hence, it should be represented as A ≤ B instead of A ≥ B.
  • If A = B and A > C, then, is B > C? - Of course yes.

Assess your understanding of Logical Reasoning by taking this test now!

Logical Reasoning Solved Examples on Symboperation

DIRECTIONS: The symbols %,?,$, #, and ! are used with following meaning:

A % B = A is greater than B.
A ? B = A is either greater than or equal to B.
A $ B = A is smaller than B.
A # B = A is either smaller than or equal to B.
A ! B = A is equal to B.

    Now, for each of the questions mark your answer options as follows:
  • If only conclusion I is true
  • If only conclusion II is true
  • If both conclusion I and II are true
  • If either conclusion I or II is true
  • If neither conclusion I nor II is true

Example 1: Statements: S% T, U $ S, T $ S, S ? M, Q ? R.

Conclusions:
I. T % U
II. M # T

Solution:Firstly, the statements and conclusions should be converted into the normal symbols for better understanding.

Statements: S > T, U < S, T < S, S ≤ M, Q ≤ R.

Conclusions:
I. T > U
II. M ≥ T

Conclusion 1: Since, S > T and U < S. So, U < S > T and, thus, U can be < T or = T or > T. Hence, nothing can be said definitely.

Conclusion 2:Since, T < S and S ≤ M. So, T < S ≤ M. Here again, nothing can be concluded about the relation of M and T.

Hence, answer is (e) option.

Example 2: Statements: T $ Q, S ? M, Q ? R, U $ S, S $ T

Conclusions:
I. Q % S
II. U $ T

Solution:Firstly, the statements and conclusions should be converted into the normal symbols for better understanding of the same.

Statements:T < Q, S ≤ M, Q ≤ R, U < S, S < T.

Conclusions:
I. Q > S
II. U < T

Conclusion 1: Since, T < Q and S < T. So, S < T < Q. Thus, Q > S can be concluded.

Conclusion 2:Since U < S and S < T. So, U < S < T. Thus, conclusion 2 i.e. U < T is definitely true.

Hence, answer is (c) option.

Measure your progress in Logical Reasoning section by taking this test now!

Logical Reasoning Symboperations: Key Learning
  • Though the topic is easy to solve still practicing some questions will make you more confident and you will be able to score good.
  • Before attempting the question, understand the meaning of each operation carefully.

Still in doubt about any concept or example? Don't hesitate, post in the comment section below.



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