Question 1
What number comes next in the series? 3, 6, 11, 18, 27, ___
Show answer & rationale
Correct answer: B. 38
Why: The differences are 3, 5, 7, 9 — each gap grows by 2. The next gap is 11, so 27 + 11 = 38.
Learning objective: Find the rule in a number series with increasing differences.
Question 2
All accredited trainers are certified. All certified trainers attended the seminar. Which conclusion must be true?
- AAll accredited trainers attended the seminar.
- BAll who attended the seminar are accredited.
- CSome certified trainers are not accredited.
- DNo accredited trainer attended the seminar.
Show answer & rationale
Correct answer: A. All accredited trainers attended the seminar.
Why: If every accredited trainer is certified, and every certified trainer attended, then every accredited trainer attended. The other options reverse the logic or claim facts the premises do not support.
Learning objective: Draw a valid conclusion from chained (syllogistic) statements.
Question 3
Find the next term: 2, 6, 18, 54, ___
Show answer & rationale
Correct answer: B. 162
Why: Each term is multiplied by 3: 2×3=6, 6×3=18, 54×3=162. The pattern is geometric, not additive.
Learning objective: Identify a geometric (constant-ratio) number series.
Question 4
A statement says: "If the request is complete, it will be processed today." The request was NOT processed today. What can be concluded?
- AThe request was complete.
- BThe request was not complete.
- CThe request will never be processed.
- DThe office was closed.
Show answer & rationale
Correct answer: B. The request was not complete.
Why: If a complete request is always processed today, and it was not processed today, then it could not have been complete (valid contrapositive reasoning). The other options add facts the statement never provided.
Learning objective: Apply contrapositive reasoning to a conditional statement.
Question 5
Which word does NOT belong with the others?
- Atriangle
- Bsquare
- Ccircle
- Dpentagon
Show answer & rationale
Correct answer: C. circle
Why: A triangle, square, and pentagon are polygons made of straight sides. A circle has no straight sides, so it is the odd one out.
Learning objective: Classify items by a shared defining property.