Question 1

A vending machine follows this rule: If the input is even, divide by 2. If the input is odd, multiply by 3 and add 1. What is the output if the input is 7?

Accepted Answer

7 is odd, so apply the odd rule: 7 × 3 + 1 = 21 + 1 = 22.

Question 2

A text processor applies these rules in sequence:
Rule 1: Remove all vowels
Rule 2: Reverse the remaining letters

If the input is 'HELLO', what is the output?

Accepted Answer

Input: HELLO. Rule 1 (remove vowels E, O): HLL. Rule 2 (reverse): LLH.

Question 3

In a coding system, each letter is replaced by the number of its position in the alphabet. For example, A=1, B=2, C=3, etc. What is the output for the word 'CAB'?

Accepted Answer

C is the 3rd letter (3), A is the 1st letter (1), B is the 2nd letter (2). The output is the sequence: 3, 1, 2.

Question 4

A school's examination results show that 40% of students failed in Mathematics. The principal wants to improve student performance. Which course of action is MOST APPROPRIATE?

Accepted Answer

Tests identification of the most logical and targeted response to a specific academic problem.

Question 5

A company's customer complaint rate has increased from 5% to 15% in two months. The complaints are mainly about product quality and delivery delays. What should the company do FIRST?

Accepted Answer

Tests prioritization and identification of the most urgent and relevant investigative action.

Question 6

A sorting machine arranges numbers in ascending order and then outputs the middle number. If the input is: 15, 8, 23, 12, 19, what is the output?

Accepted Answer

Arrange in ascending order: 8, 12, 15, 19, 23. The middle number (3rd position out of 5) is 15.

Question 7

A city hospital is facing a severe shortage of blood donors. The blood bank has only 2 days of supply left. Which of the following should be the MOST IMMEDIATE course of action?

Accepted Answer

This tests the ability to identify the most urgent and practical immediate action in a crisis situation.

Question 8

A school has observed that students are frequently absent, and academic performance is declining. Teachers report that many students come from low-income families and work part-time jobs. What is the MOST APPROPRIATE course of action?

Accepted Answer

Tests ability to identify contextual, empathetic solutions that address underlying socioeconomic constraints.

Question 9

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 deduce A > C (transitive through B), A > D (transitive through B and C), and B > D (transitive through C). However, we cannot determine the relationship between A and F, or between C and F, because F's position relative to the chain A-B-C-D-E is unknown (E < F tells us F > E, but F could be anywhere above E).

Question 10

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

Accepted Answer

From the inequalities: A > B > C ≥ D > E ≤ F < A. We can establish: A > B > C > D > E (using C ≥ D and D > E). We can establish: E ≤ F < A, so F < A. We cannot determine if B > E because the chain is A > B > C ≥ D > E, which gives B > E as definite. The statement 'E > D' is definitely false because D > E is given.

Question 11

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

Accepted Answer

From the inequalities: P ≥ Q > R ≤ S < T ≤ P. We can establish: P ≥ Q > R, so P > R. We can establish: S < T ≤ P, so S < P. We can establish: R ≤ S < T, so R < T. We cannot determine if Q > S because Q > R and R ≤ S means Q could be greater than, equal to, or less than S. The statement 'P > R' is definitely true.

Question 12

Given: P ≤ Q, Q < R, R ≥ S, S > T, T ≥ U. Which conclusion is DEFINITELY FALSE?

Accepted Answer

From the chain: P ≤ Q < R ≥ S > T ≥ U. We can confirm P < R (P ≤ Q < R), Q < S is indeterminate (R ≥ S but Q < R, so Q could equal S or be less), S > U (S > T ≥ U), and R > U (R ≥ S > T ≥ U). The statement 'U > S' directly contradicts S > T ≥ U.

Question 13

Given: M ≥ N > O, O ≤ P, P < Q, Q = R. Which of the following is INDETERMINATE (cannot be confirmed as true or false)?

Accepted Answer

From the inequalities: M ≥ N > O ≤ P < Q = R. We can confirm M > O (M ≥ N > O), N > O (given), Q = R (given), and P < Q (given). However, the relationship between M and P is indeterminate because M ≥ N > O ≤ P creates a branch: O is a lower bound for both N and P, but M and P are on separate chains that don't directly connect.

Question 14

A public park in a residential area has become unsafe due to poor lighting and overgrown vegetation. Residents are avoiding the park. Which is the BEST course of action for the local authority?

Accepted Answer

Tests ability to identify practical, direct solutions to a clearly stated problem.

Question 15

Statements:
1. All fruits are healthy.
2. All apples are fruits.

Conclusion: All apples are healthy.

Is the conclusion valid?

Accepted Answer

The conclusion IS valid. This is a classic categorical syllogism (Barbara form). Since all apples are fruits, and all fruits are healthy, it logically follows that all apples are healthy.

Question 16

A machine processes numbers through the following steps:
Step 1: Multiply the input by 2
Step 2: Add 5 to the result
Step 3: Divide by 3

If the input is 10, what is the final output?

Accepted Answer

Following the input-output sequence: Start with 10 → Multiply by 2 = 20 → Add 5 = 25 → Divide by 3 = 8.33 (or 25/3). The correct answer is 25/3 or approximately 8.33.

Question 17

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

Accepted Answer

From the inequalities: A ≥ B, B > C, C ≤ D, D < A, E = B. We know: A ≥ B = E, so A ≥ E. We know B > C and C ≤ D, but cannot determine if B > D (D could be less than, equal to, or greater than C). We know D < A. We know B > C is definite. The statement 'C > B' is definitely false because B > C is given.

Question 18

A factory has noticed that worker productivity has dropped by 25% in the last quarter. The management suspects poor working conditions. What should be the FIRST course of action?

Accepted Answer

Tests the ability to gather information before taking corrective action, avoiding premature conclusions.

Question 19

Given: X > Y, Y = Z, Z > W, W ≥ V, V < X. Which of the following is definitely TRUE?

Accepted Answer

From the inequalities: X > Y = Z > W ≥ V, and V < X. We can establish: X > Y = Z, so X > Z. We can establish: Z > W ≥ V, so Z > V. We can establish: X > Y = Z > W, so X > W. We cannot determine if Y > W directly without using Z. The statement 'X > W' is definitely true because X > Y = Z > W.

Question 20

A number system converts input as follows: Add 10, then multiply by 2, then subtract 4. If the input is 5, what is the output?

Accepted Answer

Input: 5. Add 10: 5 + 10 = 15. Multiply by 2: 15 × 2 = 30. Subtract 4: 30 - 4 = 26.

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