NCAE Abstract and Logical Reasoning

Question 1

Which number comes next in the sequence: 2, 5, 10, 17, 26, ___?

Accepted Answer

37

Answer

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?

Accepted Answer

Some Blips may be Blaps

Answer

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, ___?

Accepted Answer

U

Answer

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?

Accepted Answer

Length of its sides

Answer

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?

Accepted Answer

CJSE

Answer

Each letter is shifted forward by 1 in the alphabet: B→C, I→J, R→S, D→E, giving CJSE.

(NCAE) National Career Assessment Examination Practice Test