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BJMP Entrance Exam Analytical AbilityLogical ReasoningMisconception Buster

Avoid the most common Logical Reasoning mistakes made by BJMP Entrance Exam reviewers. Each misconception here has been pulled from real BJMP Entrance Exam Analytical Ability questions where Bureau of Jail Management and Penology (BJMP) used it to separate strong reviewers from weak ones. Learn these before your next mock.

Exam context

For the Bureau of Jail Management and Penology Entrance Examination, Bureau of Jail Management and Penology (BJMP) tests Analytical Ability under a "Core" label, with Logical Reasoning in the 7th slot across 7 chapters. BJMP Entrance Exam candidates must clear the BJMP-set percentile cut on the 2026 paper, which draws about a meaningful share of Analytical Ability questions. Date to watch: Announced by BJMP per cycle.

Logical Reasoning - Misconception buster

Logical reasoning is one of the most deceptive topics in the CSE Professional exam. Students often feel confident about their answers but make fundamental errors that cost precious marks. These misconceptions are particularly dangerous because they feel 'logical' but are actually wrong. Understanding where your thinking goes astray is crucial for exam success, as logical reasoning questions can make or break your overall score.

Summary

The key to avoiding these misconceptions is to separate logical analysis from personal knowledge and real-world experience. Always focus on the structure of arguments rather than the content. Remember that validity is about logical necessity, not truth or personal agreement. Practice identifying the difference between what sounds right and what logically follows. Most importantly, slow down and systematically work through each step rather than relying on intuition, as logical reasoning often contradicts our natural thinking patterns.

Misconceptions

If the conclusion sounds reasonable in real life, then the logical argument is valid

Tags

  • common_error
  • validity_confusion
  • real_world_interference

Topic

Argument Validity

Severity

critical

Exam Impact

Students consistently choose wrong answers because they evaluate based on real-world knowledge instead of logical structure, losing 3-5 marks per section

The Reality

In logical reasoning, validity depends ONLY on the structure of the argument, not on whether the conclusion is true in reality. An argument can be logically invalid even if the conclusion happens to be true in real life

Trap Question

Question

All Filipinos are humans. Jose is a Filipino. Therefore, Jose can breathe. Is this argument valid?

Explanation

While the conclusion is true in reality, it doesn't follow logically from the given premises. The premises only establish that Jose is human, not that he can breathe

Wrong Answer

Valid, because all Filipinos can indeed breathe and Jose being Filipino means he can breathe

Correct Answer

Invalid, because 'Jose can breathe' does not logically follow from the premises. The correct conclusion should be 'Jose is human'

Misconception Id

M1

Correct Vs Incorrect

Correct Approach

Ignoring personal knowledge completely and checking if the conclusion MUST follow from the premises based purely on logical structure

Incorrect Approach

Reading the premises and conclusion, then asking 'Does this make sense in real life?' and choosing based on common knowledge

Why Students Believe It

Students use their personal knowledge and common sense instead of focusing purely on the logical structure. They think 'This makes sense in the real world, so it must be correct'

In deductive reasoning, if the premises are false, the argument is automatically invalid

Tags

  • validity_confusion
  • premise_evaluation
  • logical_structure

Topic

Deductive Arguments

Severity

critical

Exam Impact

Students incorrectly reject valid arguments with false premises, missing 2-4 marks on deductive reasoning questions

The Reality

Validity only concerns whether the conclusion follows from the premises. An argument can be valid even with completely false premises, as long as IF the premises were true, the conclusion would necessarily follow

Trap Question

Question

All birds are purple. All purple things can fly. Therefore, all birds can fly. Is this argument valid?

Explanation

Even though 'all birds are purple' is false in reality, the argument structure is valid. If the premises were true, the conclusion would have to be true

Wrong Answer

Invalid, because birds are not actually purple in real life

Correct Answer

Valid, because if we assume the premises are true, the conclusion necessarily follows

Misconception Id

M2

Correct Vs Incorrect

Correct Approach

Assuming the premises are true (even if they're not) and checking if the conclusion must follow from that assumption

Incorrect Approach

Checking if premises are true in real life first, then rejecting the argument if any premise is false

Why Students Believe It

Students confuse 'validity' with 'soundness' and think that false premises always make an argument invalid

'Some' means exactly half or a small portion of the group

Tags

  • quantifier_confusion
  • some_interpretation
  • venn_diagrams

Topic

Categorical Statements

Severity

major

Exam Impact

Students make wrong inferences in Venn diagram problems and categorical syllogisms, losing 2-3 marks per question

The Reality

In formal logic, 'some' means 'at least one, possibly all'. When we say 'Some X are Y', it could mean anywhere from one to all members of X

Trap Question

Question

Some students are intelligent. All students in this class are students. Can we conclude that all students in this class are intelligent?

Explanation

'Some students are intelligent' allows for the possibility that ALL students are intelligent, so we cannot rule out that all students in this class are intelligent

Wrong Answer

No, because 'some' means only a few students are intelligent

Correct Answer

Cannot be determined, because 'some' could mean all students are intelligent

Misconception Id

M3

Correct Vs Incorrect

Correct Approach

Understanding that 'Some Filipinos are doctors' means 'At least one Filipino is a doctor, and possibly all Filipinos are doctors'

Incorrect Approach

Interpreting 'Some Filipinos are doctors' as 'Only a few Filipinos are doctors, definitely not all'

Why Students Believe It

Students interpret 'some' based on everyday language where it often implies 'not all' or 'a few'

In conditional statements, if the condition is false, the whole statement is false

Tags

  • conditional_logic
  • if_then_statements
  • logical_fallacy

Topic

Conditional Syllogism

Severity

major

Exam Impact

Students make errors in conditional reasoning questions, especially when working backwards from conclusions, losing 2-3 marks

The Reality

A conditional statement 'If P then Q' is only false when P is true and Q is false. If P is false, the conditional statement is automatically true regardless of Q

Trap Question

Question

If Maria studies hard, she will pass the exam. Maria did not study hard. Therefore, Maria will not pass the exam. Is this reasoning correct?

Explanation

The conditional only tells us what happens if she studies hard. It doesn't tell us what happens if she doesn't study hard - she might still pass for other reasons

Wrong Answer

Yes, because if she didn't meet the condition (studying hard), she won't get the result (passing)

Correct Answer

No, this is invalid reasoning. Maria could still pass through other means

Misconception Id

M4

Correct Vs Incorrect

Correct Approach

Understanding the statement is only false if it rains AND you don't bring an umbrella. On sunny days, the statement is automatically true

Incorrect Approach

Thinking 'If it rains, I will bring an umbrella' is false on sunny days because it didn't rain

Why Students Believe It

Students think that 'If P then Q' requires P to be true for the statement to hold

Inductive arguments can be valid or invalid just like deductive arguments

Tags

  • argument_types
  • inductive_reasoning
  • terminology_error

Topic

Inductive Arguments

Severity

major

Exam Impact

Students use wrong terminology and evaluation criteria for inductive reasoning questions, losing 1-2 marks per question

The Reality

Inductive arguments are evaluated as strong or weak, not valid or invalid. They deal with probability and likelihood, not absolute logical necessity

Trap Question

Question

The first 10 swans I saw were white. The next 5 swans were also white. Therefore, all swans are probably white. Is this argument valid?

Explanation

Inductive arguments move from specific observations to general conclusions and deal with probability. We evaluate them as strong/weak, not valid/invalid

Wrong Answer

Yes, it's valid because the premises strongly support the conclusion

Correct Answer

The question is inappropriate - inductive arguments are not valid or invalid, but strong or weak. This is a strong inductive argument

Misconception Id

M5

Correct Vs Incorrect

Correct Approach

Evaluating inductive arguments as 'strong' when premises make the conclusion likely, or 'weak' when they don't

Incorrect Approach

Calling an inductive argument 'valid' when the conclusion is well-supported by premises

Why Students Believe It

Students apply the same evaluation criteria to both deductive and inductive arguments

In Venn diagrams, overlapping areas must always contain some elements

Tags

  • venn_diagrams
  • set_relationships
  • visual_reasoning

Topic

Venn Diagrams

Severity

major

Exam Impact

Students make wrong conclusions about set relationships and categorical statements, losing 2-3 marks on diagram-based questions

The Reality

Venn diagram structure shows possible relationships, not required memberships. An overlapping area might be empty unless specifically stated otherwise

Trap Question

Question

Some Filipinos are engineers. Some engineers are managers. Therefore, some Filipinos are managers. Is this conclusion correct?

Explanation

Just because some Filipinos are engineers and some engineers are managers doesn't guarantee any Filipino is a manager. The two 'some' groups might not overlap

Wrong Answer

Yes, because the Venn diagrams overlap, so there must be Filipinos who are managers

Correct Answer

No, this conclusion is not necessarily correct. The overlaps might not intersect

Misconception Id

M6

Correct Vs Incorrect

Correct Approach

Understanding the overlap shows the possibility of doctor-teachers, but additional information is needed to confirm actual members exist there

Incorrect Approach

Seeing overlapping circles for 'Some doctors are teachers' and concluding there definitely are doctor-teachers

Why Students Believe It

Students assume that if two circles overlap in a diagram, there must be actual members in that intersection

Arguments with true conclusions are automatically good arguments

Tags

  • argument_strength
  • conclusion_bias
  • evaluation_criteria

Topic

Argument Evaluation

Severity

major

Exam Impact

Students accept weak arguments with agreeable conclusions and reject strong arguments with disagreeable ones, losing 1-2 marks per evaluation question

The Reality

A good argument requires both valid reasoning AND true premises. A true conclusion reached through faulty reasoning is still a bad argument

Trap Question

Question

Most CSE examinees are nervous. Juan is a CSE examinee. Therefore, Juan is nervous. Evaluate this argument.

Explanation

Even if the premise is true, 'most' means Juan could be in the minority who aren't nervous. The reasoning doesn't strongly support the conclusion

Wrong Answer

Good argument, because most examinees really are nervous and Juan probably is too

Correct Answer

This is a weak inductive argument because 'most' doesn't guarantee Juan is in that majority

Misconception Id

M7

Correct Vs Incorrect

Correct Approach

Rejecting the argument because the first premise is an unfair generalization, even if you happen to agree with the conclusion

Incorrect Approach

Accepting 'All politicians are corrupt. Duterte is a politician. Therefore, Duterte is corrupt' because you believe the conclusion

Why Students Believe It

Students focus on whether they agree with the conclusion rather than evaluating the reasoning process

Disjunctive syllogism works with inclusive OR (both options can be true)

Tags

  • disjunctive_reasoning
  • exclusive_or
  • logical_operations

Topic

Disjunctive Syllogism

Severity

minor

Exam Impact

Students make incorrect eliminations in either/or scenarios, losing 1-2 marks on disjunctive reasoning questions

The Reality

Disjunctive syllogism requires exclusive OR - only one of the options can be true. If both could be true, eliminating one doesn't guarantee the other

Trap Question

Question

The food is either spicy or delicious. The food is not delicious. Therefore, the food is spicy. Is this reasoning correct?

Explanation

The reasoning is only valid if the original statement uses exclusive OR. In everyday language, 'either/or' can be inclusive, making this reasoning potentially invalid

Wrong Answer

Yes, if it's not delicious, it must be spicy based on the either/or statement

Correct Answer

Only correct if 'either/or' is exclusive. If inclusive, the food could be both or neither

Misconception Id

M8

Correct Vs Incorrect

Correct Approach

Recognizing when OR is exclusive (only one true) vs inclusive (both could be true) before applying elimination

Incorrect Approach

Treating 'The student is either hardworking or intelligent' as allowing both qualities, then incorrectly eliminating

Why Students Believe It

Students don't distinguish between exclusive and inclusive OR in logical contexts

Ordering problems can be solved by just arranging people randomly until it works

Tags

  • ordering_problems
  • systematic_thinking
  • constraint_analysis

Topic

Ordering and Arrangements

Severity

minor

Exam Impact

Students waste time and often get wrong answers on ordering questions, losing 1-2 marks and precious exam time

The Reality

Ordering problems require systematic analysis of each constraint and building the solution step by step using elimination and deduction

Trap Question

Question

Five students A, B, C, D, E are in a line. A is not first. B is between A and C. D is immediately after C. E is not last. Who is first?

Explanation

Working through constraints: A not first, E not last, B between A and C with D after C creates only one valid arrangement: E-A-B-C-D

Wrong Answer

B, because B is between others so seems like a middle position

Correct Answer

E, through systematic elimination of constraints

Misconception Id

M9

Correct Vs Incorrect

Correct Approach

Starting with the most restrictive condition, placing that person first, then systematically adding others based on remaining constraints

Incorrect Approach

Randomly placing Ana, Ben, Carlo in different positions and checking if all conditions are met

Why Students Believe It

Students avoid systematic thinking and try to guess-and-check instead of using logical deduction

Assumptions are always explicitly stated in the argument

Tags

  • hidden_premises
  • assumption_identification
  • argument_analysis

Topic

Assumptions in Arguments

Severity

minor

Exam Impact

Students miss assumption-based questions and fail to identify weak points in arguments, losing 1-2 marks on assumption identification

The Reality

Assumptions are unstated premises that must be true for the argument to be valid. They are hidden but essential parts of the reasoning

Trap Question

Question

Maria got high grades in math. She will definitely succeed in engineering. What assumption is being made?

Explanation

The argument assumes that performance in math directly predicts engineering success, ignoring other factors like creativity, teamwork, and practical skills

Wrong Answer

No assumptions - it's clearly stated that good math grades lead to engineering success

Correct Answer

The assumption is that math ability is the key factor for engineering success

Misconception Id

M10

Correct Vs Incorrect

Correct Approach

Asking 'What must also be true, even though unstated, for this conclusion to follow from these premises?'

Incorrect Approach

Looking only at stated premises and conclusion, saying 'There are no assumptions here'

Why Students Believe It

Students look only at what is directly written and miss unstated premises that are crucial for the argument to work

Quick Self Check

A good argument needs both valid reasoning and true premises. You can reach a true conclusion through faulty reasoning

Statement

An argument with a true conclusion is always a good argument

Unlike everyday language, logical 'some' includes the possibility that all members have the stated property

Statement

In logic, 'some' means at least one and possibly all

Validity depends only on logical structure. An argument can be valid even with false premises

Statement

If the premises of a deductive argument are false, the argument is invalid

Inductive reasoning deals with probability and likelihood, so we use different evaluation terms

Statement

Inductive arguments should be evaluated as strong or weak, not valid or invalid

This commits the fallacy of denying the antecedent. The conditional doesn't tell us what happens when it's not raining

Statement

If it's raining, then I'll bring an umbrella. It's not raining, so I won't bring an umbrella

Overlaps show possible relationships, not guaranteed memberships. Additional information is needed

Statement

In Venn diagrams, overlapping areas must contain actual members

Logical evaluation should focus purely on the structure of the argument, not real-world knowledge

Statement

Personal knowledge should be used to evaluate logical arguments

Assumptions are unstated premises that are essential for the argument but not explicitly mentioned

Statement

Assumptions in arguments are always clearly stated

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