# Deductive Reasoning Quiz Set 010

### Question 1

1. Section I has a higher enrollment than Section II.
2. Section III has a lower enrollment than Section II.
3. Section I has a lower enrollment than Section III.

If the first two statements are true, the third statement is.

A

true.

B

false.

C

uncertain.

D

none.

Soln.
Ans: b

From the first two statements, we know that of the three Sections, Section I has the highest enrollment, so the third statement must be false.

### Question 2

1. All the Roses in Karan's garden are white.
2. All the Delia in Karan's garden are yellow.
3. All the flowers in Karan's garden are either white or yellow.

If the first two statements are true, the third statement is.

A

true.

B

false.

C

uncertain.

D

none.

Soln.
Ans: c

The first two statements give information about Karan's Roses and Delia. Information about any other kinds of flowers cannot be determined.

### Question 3

1. All rectangles are squares.
2. All squares have four equal sides.
3. All rectangles have four equal sides.

If the first two statements are true, the third statement is:

A

true.

B

false.

C

uncertain.

D

None.

Soln.
Ans: a

By II all squares have equal sides, and by I all rectangles are squares, so all rectangles have equal sides.

### Question 4

1. All Islands are surrounded by ice.
2. Andaman is an island.
3. Andaman was formed by a volcano.

If the first three statements are facts, which of the following statements must also be a fact?

1. Andaman is surrounded by ice.
2. All islands are formed by volcanoes.
3. All volcanoes are on islands.
A

I only.

B

II only.

C

II and III only.

D

None.

Soln.
Ans: a

Since Andaman is an island and islands are surrounded by ice, Andaman must be surrounded by ice.

### Question 5

1. Jassi is younger than Karan.
2. Mannu was born after Jassi.
3. Karan is older than Mannu.

If the first two statements are true, the third statement is.

A

true.

B

false.

C

uncertain.

D

none.

Soln.
Ans: a

Jassi is younger than Karan and older than Mannu, so Mannu must be younger than Karan.