NCAE Abstract and Logical Reasoning 2

Question 1

What comes next in the series: 1, 1, 2, 3, 5, 8, 13, ___?

Accepted Answer

21

Answer

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?

Accepted Answer

Rex barks

Answer

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?

Accepted Answer

90°

Answer

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?

Accepted Answer

A cross made of 6 squares

Answer

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?

Accepted Answer

DQB

Answer

Each letter is shifted forward by 2 positions: B→D, O→Q, Y→B, giving DQB.

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