Question 1

Given: A < B, B ≤ C, C = D, D > E, E ≥ F

Which of the following conclusions is definitely TRUE?

Accepted Answer

From the chain: A < B ≤ C = D > E ≥ F. We can derive: A < C (from A < B ≤ C). We can derive: A < D (from A < B ≤ C = D). We can derive: D > E ≥ F, so D > F. We can derive: C > E (from C = D > E). All of these are definite. The statement 'A < D' is definitely true.

Question 2

Statements:
1. All flowers are plants.
2. Some plants are green.
3. All green things are living.

Conclusion: Either all flowers are living, or some flowers are not living.

Is the conclusion valid?

Accepted Answer

The conclusion is valid. From the statements, we know all flowers are plants, but only some plants are green. Therefore, we cannot conclude that all flowers are green or that all flowers are living. However, we also cannot conclude that some flowers are not living (since some flowers could be green and thus living). The 'Either/Or' structure correctly captures this: either all flowers are living (if all happen to be green) OR some are not living (if some are not green). Since we cannot determine which, the Either/Or conclusion is logically sound.

Question 3

Given: P ≥ Q, Q > R, R ≥ S, S < T, T ≤ P. Which of the following is DEFINITELY FALSE?

Accepted Answer

From the given: P ≥ Q > R ≥ S < T ≤ P. We can deduce: P ≥ Q > R means P > R (since Q > R and P ≥ Q). Also, R ≥ S and S < T means S < T. Since T ≤ P and P > R, we have P > R. Now, can S = R? Yes, since R ≥ S allows equality. Can T > R? We know T ≤ P and P > R, so T could be anywhere from S+ε to P. Can Q < S? We have Q > R ≥ S, so Q > S. Therefore, Q < S is definitely FALSE.

Question 4

Given: X ≥ Y, Y > Z, Z ≤ W, W < V, V = U

Which of the following conclusions is definitely INDETERMINATE (cannot be determined)?

Accepted Answer

From the chain: X ≥ Y > Z ≤ W < V = U. We can derive: X > Z (from X ≥ Y > Z). We can derive: Z ≤ W < V, so Z < V. We can derive: V = U. However, the relationship between Y and W is indeterminate because Z is between them with Y > Z and Z ≤ W, which means Y could be greater than, equal to, or less than W.

Question 5

Given: X ≥ Y, Y > Z, Z ≤ W, W < X, W ≥ V. Which of the following must be TRUE?

Accepted Answer

From the given: X ≥ Y > Z ≤ W < X and W ≥ V. We can establish: X > Z (by chaining X ≥ Y > Z). Since W < X and W ≥ Z (from Z ≤ W), we have Z ≤ W < X. Also, W ≥ V means V ≤ W. Now, comparing Y and W: Y > Z and Z ≤ W means Y > Z ≤ W, so Y vs W is indeterminate. Comparing X and V: X > W (from W < X) and W ≥ V means X > V. Therefore, X > V must be true.

Question 6

Statements:
1. No reptiles are mammals.
2. All snakes are reptiles.

Conclusion: No snakes are mammals.

Is the conclusion valid?

Accepted Answer

The conclusion is logically valid. From Statement 2, all snakes are reptiles. From Statement 1, no reptiles are mammals. Therefore, by transitive logic, no snakes can be mammals. This is a valid categorical syllogism using the rule of exclusion.

Question 7

A hospital's patient satisfaction scores have declined significantly. Feedback indicates that patients complain about long waiting times and rude staff behavior. The hospital administrator must choose a course of action:

1. Train staff on customer service and communication skills
2. Increase the number of doctors and nurses
3. Reduce appointment slots to decrease patient volume
4. Implement both staff training and hire additional personnel

Which is the most comprehensive and appropriate action?

Accepted Answer

The feedback identifies two distinct problems: insufficient capacity (long waits) and poor service quality (rude behavior). Addressing only one would leave the other unresolved. Action 4 tackles both issues.

Question 8

Given: A > B, B ≥ C, C > D, D ≤ E, E < A. Which of the following conclusions is definitely TRUE?

Accepted Answer

From the given inequalities: A > B ≥ C > D ≤ E < A. We can establish: A > B (given), B ≥ C (given), C > D (given). Since A > B and B ≥ C, we have A > C. Since C > D, we have A > D. Since D ≤ E and E < A, we know E < A. However, we cannot definitively compare B and D without more information, nor can we compare C and E. The only definite conclusion is A > C.

Question 9

Given: P ≤ Q, Q < R, R ≥ S, S > T, T ≥ U

Which of the following conclusions is definitely FALSE?

Accepted Answer

From the chain: P ≤ Q < R ≥ S > T ≥ U. We know P ≤ Q < R, so P < R (definite). We know S > T ≥ U, so S > U (definite). However, the relationship between Q and S is indeterminate (Q < R and R ≥ S, but this doesn't establish Q vs S). Also, P vs T is indeterminate. The statement 'T < Q' cannot be proven true from the given information, making it potentially false.

Question 10

Given: M > N, N = O, O < P, P ≤ Q, Q > R

Which of the following conclusions is definitely TRUE?

Accepted Answer

From the chain: M > N = O < P ≤ Q > R. We can derive: M > O (since M > N and N = O). We can derive: O < P ≤ Q (chaining O < P and P ≤ Q gives O < Q). We can derive: P ≤ Q and Q > R, so we cannot definitively say P > R (P could equal Q which is > R, or P could be less than Q). However, M > O is definite, and O < Q is definite.

Question 11

A factory is experiencing a 40% drop in productivity due to outdated machinery. The management has identified three possible courses of action:
1. Replace all machinery immediately with modern equipment
2. Conduct a cost-benefit analysis before making any investment decision
3. Ignore the problem and hope productivity improves naturally

Which course of action should be taken FIRST?

Accepted Answer

The correct approach is to conduct a cost-benefit analysis before committing resources. This ensures informed decision-making and prevents wasteful spending.

Question 12

Given: A > B, B ≥ C, C > D, D = E, E < F

Which of the following conclusions is definitely TRUE?

Accepted Answer

From the given inequalities: A > B ≥ C > D = E < F. We can chain: A > B ≥ C > D. Since D = E, we have A > B ≥ C > E. We cannot determine the relationship between A and F (F could be less than, equal to, or greater than A). However, we can definitively conclude A > C.

Question 13

Given: A ≤ B, B < C, C ≥ D, D > E, E ≥ F. Which of the following is DEFINITELY FALSE?

Accepted Answer

From the given: A ≤ B < C ≥ D > E ≥ F. We can establish: A < C (by chaining A ≤ B < C). C ≥ D and D > E means C > E. D > E and E ≥ F means D > F. Now, can A = B? Yes, since A ≤ B allows equality. Can C = D? Yes, since C ≥ D allows equality. Can B > D? We have B < C and C ≥ D, so B < C and C ≥ D doesn't guarantee B > D. In fact, if C = D, then B < D. If C > D, B could still be less than D. So B > D is not necessarily true. Can E < F? We have E ≥ F, which means E > F or E = F. Therefore, E < F is definitely FALSE.

Question 14

Statements:
1. All teachers are educated.
2. Some educated people are writers.

Conclusion: Some teachers are writers.

Is the conclusion valid?

Accepted Answer

The conclusion 'Some teachers are writers' cannot be logically derived from the given statements. Statement 1 tells us all teachers are educated, and Statement 2 tells us some educated people are writers. However, we cannot determine whether the 'some educated people' who are writers include any teachers. The educated people who are writers may be from a different subset of educated people than teachers.

Question 15

A school notices that student attendance has dropped by 25% over the past month. Teachers report that many students cite lack of interest in current teaching methods. Which course of action is most appropriate?

1. Immediately change all teaching methods
2. Survey students to understand their specific concerns
3. Increase the number of tests to encourage attendance
4. Consult with teachers and students before implementing changes

Accepted Answer

Before making systemic changes, it is essential to gather information from all stakeholders. Option 4 ensures that any solution is based on actual feedback rather than assumptions.

Question 16

A government office is facing severe delays in processing citizen applications. The backlog has grown to 6 months. The office manager identifies these possible actions:

1. Hire additional staff to process applications faster
2. Analyze the current process to identify bottlenecks
3. Reject applications without proper review to reduce backlog
4. Implement a digital system to streamline the process

Which action should be prioritized FIRST?

Accepted Answer

Before investing in staff or technology, the root causes of delays must be identified through process analysis. This ensures that resources are allocated efficiently.

Question 17

A company's sales have stagnated for two quarters. The sales manager reports that the sales team lacks motivation and product knowledge. The company decides to:

1. Provide comprehensive product training to the sales team
2. Introduce performance-based incentives and bonuses
3. Replace the entire sales team with new employees
4. Implement both training and incentive programs

Which course of action best addresses the identified problems?

Accepted Answer

The problem has two components: lack of knowledge (requires training) and lack of motivation (requires incentives). Both must be addressed to resolve the stagnation effectively.

Question 18

A city hospital is facing a critical shortage of blood units in its blood bank. The inventory has dropped to dangerous levels, and emergency surgeries are being postponed. Which of the following should be the FIRST course of action to address this problem?

Accepted Answer

This question tests the ability to identify the most immediate and logical first step in resolving a critical operational problem. The correct approach prioritizes urgent action that directly addresses the root cause.

Question 19

Given: M < N, N ≤ O, O > P, P ≥ Q, Q = R. Which conclusion is INDETERMINATE (cannot be determined)?

Accepted Answer

From the given: M < N ≤ O > P ≥ Q = R. We can establish: M < N (given), N ≤ O (given), O > P (given), P ≥ Q (given), Q = R (given). Definite conclusions: M < O (by chaining M < N ≤ O), O > Q (by chaining O > P ≥ Q), Q = R (given). However, comparing M and P: M < N ≤ O and O > P tells us O > P, but M could be less than, equal to, or greater than P depending on the specific values. For example: M=1, N=2, O=5, P=3, Q=R=2 gives M < P. But M=3, N=4, O=5, P=2, Q=R=1 gives M > P. Therefore, M vs P is indeterminate.

Question 20

Statements:
1. All doctors are professionals.
2. No professionals are unemployed.

Conclusion: All doctors are employed.

Is the conclusion valid?

Accepted Answer

The conclusion is valid. From Statement 1, all doctors are professionals. From Statement 2, no professionals are unemployed, which logically means all professionals are employed. Therefore, by transitive logic, all doctors must be employed. This follows the valid categorical syllogism form.

SSC CPO Critical Reasoning Questions

SSC CPO Critical Reasoning — Past Exam Questions

Study by Subtopic — Critical Reasoning

Study Next — Logical Reasoning Topics