NCAE Abstract and Logical Reasoning 2 — Questions and Answers
Question 1: What comes next in the series: 1, 1, 2, 3, 5, 8, 13, ___?
- 18
- 20
- 21 (Correct answer)
- 24
Correct answer: 21
This is the Fibonacci sequence where each term is the sum of the two preceding ones: 8 + 13 = 21.
Question 2: All dogs bark. Rex is a dog. Which conclusion must follow?
- Rex sometimes barks
- Rex never barks
- Rex barks (Correct answer)
- Rex may bark
Correct answer: Rex barks
This is a valid syllogism: the universal rule 'all dogs bark' plus the fact 'Rex is a dog' guarantees 'Rex barks.'
Question 3: A clock shows 3:00. What angle is formed between the hour and minute hands?
- 60°
- 90° (Correct answer)
- 120°
- 45°
Correct answer: 90°
At 3:00 the minute hand points to 12 and the hour hand to 3, forming a quarter-circle or 90° angle.
Question 4: Which shape can be folded to form a cube: a cross made of 6 squares, a row of 6 squares, an L-shape of 5 squares, or a T-shape of 4 squares?
- A row of 6 squares
- An L-shape of 5 squares
- A T-shape of 4 squares
- A cross made of 6 squares (Correct answer)
Correct answer: A cross made of 6 squares
A cube has 6 faces, and a net of 6 squares arranged in a cross (plus sign) pattern can be folded to form a cube.
Question 5: If 'MAN' is written as 'OCQ', how is 'BOY' written?
- DQB (Correct answer)
- CPQ
- DQA
- CQB
Correct answer: DQB
Each letter is shifted forward by 2 positions: B→D, O→Q, Y→B, giving DQB.
Question 6: Which of the following is the odd one out: 16, 25, 36, 48, 64?
- 16
- 25
- 48 (Correct answer)
- 64
Correct answer: 48
16, 25, 36, and 64 are all perfect squares (4², 5², 6², 8²), while 48 is not a perfect square.
Question 7: In a row of students, Ava is 5th from the left and 7th from the right. How many students are in the row?
- 10
- 11 (Correct answer)
- 12
- 13
Correct answer: 11
Total = position from left + position from right − 1 = 5 + 7 − 1 = 11.
NCAE Abstract and Logical Reasoning 2
What comes next in the series: 1, 1, 2, 3, 5, 8, 13, ___?