NCAE Abstract and Logical Reasoning 1 — Questions and Answers
Question 1: Which number comes next in the sequence: 2, 5, 10, 17, 26, ___?
- 35
- 37 (Correct answer)
- 33
- 39
Correct answer: 37
The differences between consecutive terms are 3, 5, 7, 9, 11 — odd numbers increasing by 2 — so 26 + 11 = 37.
Question 2: If all Blips are Blops, and some Blops are Blaps, which conclusion must be true?
- All Blips are Blaps
- Some Blips may be Blaps (Correct answer)
- No Blips are Blaps
- All Blaps are Blips
Correct answer: Some Blips may be Blaps
Since only some Blops are Blaps, it is possible but not certain that some Blips (which are Blops) are also Blaps.
Question 3: What letter is missing in the pattern: A, C, F, J, O, ___?
- T
- U (Correct answer)
- V
- S
Correct answer: U
The gaps between letters increase by 1 each time: +2, +3, +4, +5, +6 — O is the 15th letter, so 15 + 6 = 21, which is U.
Question 4: A square is rotated 90° clockwise. Which property of the square remains unchanged?
- Position of its corners
- Orientation of its sides
- Length of its sides (Correct answer)
- Direction it faces
Correct answer: Length of its sides
Rotation is a rigid transformation, so the side lengths (and all distances) are preserved even though orientation changes.
Question 5: If FISH is coded as GJTI, how is BIRD coded?
- CJSE (Correct answer)
- CJSD
- BJSD
- CISE
Correct answer: CJSE
Each letter is shifted forward by 1 in the alphabet: B→C, I→J, R→S, D→E, giving CJSE.
Question 6: Which figure does NOT belong: triangle, pentagon, hexagon, circle, octagon?
- Triangle
- Pentagon
- Circle (Correct answer)
- Octagon
Correct answer: Circle
Triangle, pentagon, hexagon, and octagon are all polygons with straight sides, while a circle has no straight sides or vertices.
Question 7: In a certain code, 'sky is blue' = '4 7 2' and 'blue ocean wide' = '2 9 6'. What is the code for 'blue'?
- 4
- 7
- 2 (Correct answer)
- 9
Correct answer: 2
'Blue' appears in both phrases, and '2' is the only code common to both sets, so 'blue' = 2.
NCAE Abstract and Logical Reasoning 1
Which number comes next in the sequence: 2, 5, 10, 17, 26, ___?