Abstract Reasoning Logical Deduction

Question 1

All squares in a test are shaded. Figure X is not shaded. Which conclusion is valid?

Accepted Answer

Figure X is not a square

Answer

If all squares are shaded and Figure X is not shaded, then by contrapositive, Figure X cannot be a square.

Question 2

In a logical abstract test: Shape A is bigger than Shape B. Shape B is bigger than Shape C. Which conclusion must be true?

Accepted Answer

Shape A is bigger than Shape C

Answer

Transitivity of inequality: A > B and B > C implies A > C.

Question 3

Every circle in the set is blue, and every blue shape is large. Shape Z is a circle. What must be true about Shape Z?

Accepted Answer

Shape Z is blue and large

Answer

Circle → blue (premise 1), and blue → large (premise 2); by transitivity, circle → blue and large.

Question 4

In an abstract test, if a figure has more than 4 sides, it is placed in Group A. A hexagon has 6 sides. Which group does it belong to?

Accepted Answer

Group A

Answer

6 > 4, so the hexagon satisfies the condition and belongs to Group A.

Question 5

No triangles are shaded. Shape P is shaded. What can you conclude about Shape P?

Accepted Answer

Shape P is not a triangle

Answer

Since no triangles are shaded and Shape P is shaded, Shape P cannot be a triangle.

Abstract Reasoning Practice Test